{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T23:31:08Z","timestamp":1773790268956,"version":"3.50.1"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"2","content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. High Energ. Phys."],"published-print":{"date-parts":[[2015,2]]},"DOI":"10.1007\/jhep02(2015)151","type":"journal-article","created":{"date-parts":[[2015,2,25]],"date-time":"2015-02-25T06:12:01Z","timestamp":1424844721000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":88,"title":["Conformal correlators of mixed-symmetry tensors"],"prefix":"10.1007","volume":"2015","author":[{"given":"Miguel S.","family":"Costa","sequence":"first","affiliation":[]},{"given":"Tobias","family":"Hansen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,2,24]]},"reference":[{"key":"9827_CR1","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0003-4916(73)90446-6","volume":"76","author":"S Ferrara","year":"1973","unstructured":"S. Ferrara, A.F. Grillo and R. Gatto, Tensor representations of conformal algebra and conformally covariant operator product expansion, Annals Phys. 76 (1973) 161 [ INSPIRE ].","journal-title":"Annals Phys."},{"key":"9827_CR2","first-page":"23","volume":"66","author":"AM Polyakov","year":"1974","unstructured":"A.M. Polyakov, Nonhamiltonian approach to conformal quantum field theory, Zh. Eksp. Teor. Fiz. 66 (1974) 23 [ INSPIRE ].","journal-title":"Zh. Eksp. Teor. Fiz."},{"key":"9827_CR3","doi-asserted-by":"crossref","first-page":"031","DOI":"10.1088\/1126-6708\/2008\/12\/031","volume":"12","author":"R Rattazzi","year":"2008","unstructured":"R. Rattazzi, V.S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT, JHEP 12 (2008) 031 [ arXiv:0807.0004 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR4","first-page":"025022","volume":"D 86","author":"S El-Showk","year":"2012","unstructured":"S. El-Showk M.F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi, Solving the 3D Ising Model with the Conformal Bootstrap, Phys. Rev. D 86 (2012) 025022 [ arXiv:1203.6064 ] [ INSPIRE ].","journal-title":"Phys. Rev."},{"key":"9827_CR5","doi-asserted-by":"crossref","first-page":"869","DOI":"10.1007\/s10955-014-1042-7","volume":"157","author":"S El-Showk","year":"2014","unstructured":"S. El-Showk, M.F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi, Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents, J. Stat. Phys. 157 (2014) 869 [ arXiv:1403.4545 ] [ INSPIRE ].","journal-title":"J. Stat. Phys."},{"key":"9827_CR6","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/JHEP11(2014)109","volume":"11","author":"F Kos","year":"2014","unstructured":"F. Kos, D. Poland and D. Simmons-Duffin, Bootstrapping Mixed Correlators in the 3D Ising Model, JHEP 11 (2014) 109 [ arXiv:1406.4858 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR7","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1023\/A:1026654312961","volume":"38","author":"JM Maldacena","year":"1999","unstructured":"J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [ hep-th\/9711200 ] [ INSPIRE ].","journal-title":"Int. J. Theor. Phys."},{"key":"9827_CR8","doi-asserted-by":"crossref","first-page":"013","DOI":"10.1088\/1126-6708\/2003\/03\/013","volume":"03","author":"JA Minahan","year":"2003","unstructured":"J.A. Minahan and K. Zarembo, The Bethe ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [ hep-th\/0212208 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR9","first-page":"046002","volume":"D 69","author":"I Bena","year":"2004","unstructured":"I. Bena, J. Polchinski and R. Roiban, Hidden symmetries of the AdS 5 \u00d7 S 5 superstring, Phys. Rev. D 69 (2004) 046002 [ hep-th\/0305116 ] [ INSPIRE ].","journal-title":"Phys. Rev."},{"key":"9827_CR10","doi-asserted-by":"crossref","first-page":"071","DOI":"10.1007\/JHEP11(2011)071","volume":"11","author":"MS Costa","year":"2011","unstructured":"M.S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning Conformal Correlators, JHEP 11 (2011) 071 [ arXiv:1107.3554 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR11","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1007\/JHEP04(2014)146","volume":"04","author":"D Simmons-Duffin","year":"2014","unstructured":"D. Simmons-Duffin, Projectors, Shadows and Conformal Blocks, JHEP 04 (2014) 146 [ arXiv:1204.3894 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR12","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1016\/0021-8693(87)90099-8","volume":"107","author":"K Koike","year":"1987","unstructured":"K. Koike and I. Terada, Young-diagrammatic methods for the representation theory of the classical groups of type B n , C n , D n , J. Algebra 107 (1987) 466.","journal-title":"J. Algebra"},{"key":"9827_CR13","doi-asserted-by":"crossref","DOI":"10.1515\/9781400837670","volume-title":"Group theory: Birdtracks, Lie\u2019s and exceptional groups","author":"P Cvitanovic","year":"2008","unstructured":"P. Cvitanovic, Group theory: Birdtracks, Lie\u2019s and exceptional groups, Princeton University Press, Princeton U.S.A. (2008)."},{"key":"9827_CR14","volume-title":"London Mathematical Society Student Texts. Vol. 35: Young tableaux","author":"W Fulton","year":"1997","unstructured":"W. Fulton, London Mathematical Society Student Texts. Vol. 35: Young tableaux, Cambridge University Press, Cambridge U.K. (1997)."},{"key":"9827_CR15","first-page":"887","volume":"D 13","author":"VK Dobrev","year":"1976","unstructured":"V.K. Dobrev, V.B. Petkova, S.G. Petrova and I.T. Todorov, Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory, Phys. Rev. D 13 (1976) 887 [ INSPIRE ].","journal-title":"Phys. Rev."},{"key":"9827_CR16","doi-asserted-by":"crossref","first-page":"429","DOI":"10.2307\/1968455","volume":"37","author":"PA Dirac","year":"1936","unstructured":"P.A. Dirac, Wave equations in conformal space, Annals Math. 37 (1936) 429.","journal-title":"Annals Math."},{"key":"9827_CR17","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/JHEP03(2010)133","volume":"03","author":"L Cornalba","year":"2010","unstructured":"L. Cornalba, M.S. Costa and J. Penedones, Deep Inelastic Scattering in Conformal QCD, JHEP 03 (2010) 133 [ arXiv:0911.0043 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-2256-9","volume-title":"Conformal field theory","author":"P Francesco Di","year":"1997","unstructured":"P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theory, Springer, Berlin Germany (1997)."},{"key":"9827_CR19","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1098\/rsta.1934.0015","volume":"A 233","author":"D Littlewood","year":"1934","unstructured":"D. Littlewood and A. Richardson, Group characters and algebra, Phil. Trans. R. Soc. A 233 (1934) 99.","journal-title":"Phil. Trans. R. Soc."},{"key":"9827_CR20","doi-asserted-by":"crossref","first-page":"17","DOI":"10.4153\/CJM-1958-002-7","volume":"10","author":"DE Littlewood","year":"1958","unstructured":"D.E. Littlewood, Products and plethysms of characters with orthogonal, symplectic and symmetric groups, Canad. J. Math. 10 (1958) 17.","journal-title":"Canad. J. Math."},{"key":"9827_CR21","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/0001-8708(89)90004-2","volume":"74","author":"K Koike","year":"1989","unstructured":"K. Koike, On the decomposition of tensor products of the representations of the classical groups: by means of the universal characters, Adv. Math. 74 (1989) 57.","journal-title":"Adv. Math."},{"key":"9827_CR22","first-page":"214007","volume":"A 46","author":"K Alkalaev","year":"2013","unstructured":"K. Alkalaev, Mixed-symmetry tensor conserved currents and AdS\/CFT correspondence, J. Phys. A 46 (2013) 214007 [ arXiv:1207.1079 ] [ INSPIRE ].","journal-title":"J. Phys."},{"key":"9827_CR23","doi-asserted-by":"crossref","first-page":"018","DOI":"10.1007\/JHEP01(2013)018","volume":"01","author":"K Alkalaev","year":"2013","unstructured":"K. Alkalaev, Massless hook field in AdS(d+1) from the holographic perspective, JHEP 01 (2013) 018 [ arXiv:1210.0217 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR24","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/BF01609130","volume":"53","author":"G Mack","year":"1977","unstructured":"G. Mack, Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory, Commun. Math. Phys. 53 (1977) 155.","journal-title":"Commun. Math. Phys."},{"key":"9827_CR25","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1006\/aphy.1994.1045","volume":"231","author":"H Osborn","year":"1994","unstructured":"H. Osborn and A.C. Petkou, Implications of conformal invariance in field theories for general dimensions, Annals Phys. 231 (1994) 311 [ hep-th\/9307010 ] [ INSPIRE ].","journal-title":"Annals Phys."},{"key":"9827_CR26","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/0370-2693(95)00563-Z","volume":"B 354","author":"RR Metsaev","year":"1995","unstructured":"R.R. Metsaev, Massless mixed symmetry bosonic free fields in d-dimensional anti-de Sitter space-time, Phys. Lett. B 354 (1995) 78 [ INSPIRE ].","journal-title":"Phys. Lett."},{"key":"9827_CR27","doi-asserted-by":"crossref","first-page":"781","DOI":"10.4310\/ATMP.1998.v2.n4.a4","volume":"2","author":"S Minwalla","year":"1998","unstructured":"S. Minwalla, Restrictions imposed by superconformal invariance on quantum field theories, Adv. Theor. Math. Phys. 2 (1998) 781 [ hep-th\/9712074 ] [ INSPIRE ].","journal-title":"Adv. Theor. Math. Phys."},{"key":"9827_CR28","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1142\/S0129055X06002814","volume":"18","author":"OV Shaynkman","year":"2006","unstructured":"O.V. Shaynkman, I.Y. Tipunin and M.A. Vasiliev, Unfolded form of conformal equations in M dimensions and o(M + 2) modules, Rev. Math. Phys. 18 (2006) 823 [ hep-th\/0401086 ] [ INSPIRE ].","journal-title":"Rev. Math. Phys."},{"key":"9827_CR29","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1016\/S0550-3213(01)00013-X","volume":"B 599","author":"FA Dolan","year":"2001","unstructured":"F.A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion, Nucl. Phys. B 599 (2001) 459 [ hep-th\/0011040 ] [ INSPIRE ].","journal-title":"Nucl. Phys."},{"key":"9827_CR30","unstructured":"F.A. Dolan and H. Osborn, Conformal Partial Waves: Further Mathematical Results, arXiv:1108.6194 [ INSPIRE ]."},{"key":"9827_CR31","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/0550-3213(72)90480-4","volume":"B 42","author":"S Ferrara","year":"1972","unstructured":"S. Ferrara and G. Parisi, Conformal covariant correlation functions, Nucl. Phys. B 42 (1972) 281 [ INSPIRE ].","journal-title":"Nucl. Phys."},{"key":"9827_CR32","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF02815915","volume":"5S2","author":"S Ferrara","year":"1972","unstructured":"S. Ferrara, A. Grillo and G. Parisi, Nonequivalence between conformal covariant wilson expansion in euclidean and minkowski space, Lett. Nuovo Cim. 5S2 (1972) 147.","journal-title":"Lett. Nuovo Cim."},{"key":"9827_CR33","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/BF02907130","volume":"4S2","author":"S Ferrara","year":"1972","unstructured":"S. Ferrara, A. Grillo, G. Parisi and R. Gatto, The shadow operator formalism for conformal algebra. vacuum expectation values and operator products, Lett. Nuovo Cim. 4S2 (1972) 115.","journal-title":"Lett. Nuovo Cim."},{"key":"9827_CR34","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/0550-3213(72)90587-1","volume":"B 49","author":"S Ferrara","year":"1972","unstructured":"S. Ferrara, A.F. Grillo, G. Parisi and R. Gatto, Covariant expansion of the conformal four-point function, Nucl. Phys. B 49 (1972) 77 [ INSPIRE ].","journal-title":"Nucl. Phys."},{"key":"9827_CR35","doi-asserted-by":"crossref","first-page":"091","DOI":"10.1007\/JHEP12(2012)091","volume":"12","author":"MS Costa","year":"2012","unstructured":"M.S. Costa, V. Gon\u00e7alves and J. Penedones, Conformal Regge theory, JHEP 12 (2012) 091 [ arXiv:1209.4355 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR36","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1007\/JHEP11(2011)154","volume":"11","author":"MS Costa","year":"2011","unstructured":"M.S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning Conformal Blocks, JHEP 11 (2011) 154 [ arXiv:1109.6321 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR37","unstructured":"V. Gon\u00e7alves, J. Penedones and E. Trevisani, Factorization of Mellin amplitudes, arXiv:1410.4185 [ INSPIRE ]."},{"key":"9827_CR38","doi-asserted-by":"crossref","first-page":"048","DOI":"10.1088\/1126-6708\/2008\/06\/048","volume":"06","author":"L Cornalba","year":"2008","unstructured":"L. Cornalba, M.S. Costa and J. Penedones, Eikonal Methods in AdS\/CFT: BFKL Pomeron at Weak Coupling, JHEP 06 (2008) 048 [ arXiv:0801.3002 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR39","doi-asserted-by":"crossref","first-page":"054","DOI":"10.1007\/JHEP06(2014)054","volume":"06","author":"RH Boels","year":"2014","unstructured":"R.H. Boels and T. Hansen, String theory in target space, JHEP 06 (2014) 054 [ arXiv:1402.6356 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR40","doi-asserted-by":"crossref","first-page":"060","DOI":"10.1088\/1126-6708\/2007\/06\/060","volume":"06","author":"N Arkani-Hamed","year":"2007","unstructured":"N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [ hep-th\/0601001 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR41","doi-asserted-by":"crossref","first-page":"012","DOI":"10.1088\/1126-6708\/2008\/05\/012","volume":"05","author":"DM Hofman","year":"2008","unstructured":"D.M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations, JHEP 05 (2008) 012 [ arXiv:0803.1467 ] [ INSPIRE ].","journal-title":"JHEP"},{"key":"9827_CR42","doi-asserted-by":"crossref","first-page":"064","DOI":"10.1007\/JHEP09(2014)064","volume":"09","author":"MS Costa","year":"2014","unstructured":"M.S. Costa, V. Gon\u00e7alves and J. Penedones, Spinning AdS Propagators, JHEP 09 (2014) 064 [ arXiv:1404.5625 ] [ INSPIRE ].","journal-title":"JHEP"}],"container-title":["Journal of High Energy Physics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/JHEP02(2015)151","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,23]],"date-time":"2017-06-23T02:14:25Z","timestamp":1498184065000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/JHEP02(2015)151"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2]]},"references-count":42,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["9827"],"URL":"https:\/\/doi.org\/10.1007\/jhep02(2015)151","relation":{},"ISSN":["1029-8479"],"issn-type":[{"value":"1029-8479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2]]},"article-number":"151"}}