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Phys."],"published-print":{"date-parts":[[2018,3]]},"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n          <\/jats:title>\n          <jats:p>We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions. The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles. We present a few examples of Mellin amplitudes for tree-level Witten diagrams and tree-level conformal Feynman integrals with fermionic legs, which illustrate the general properties.<\/jats:p>","DOI":"10.1007\/jhep03(2018)106","type":"journal-article","created":{"date-parts":[[2018,3,20]],"date-time":"2018-03-20T09:39:16Z","timestamp":1521538756000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Mellin amplitudes for fermionic conformal correlators"],"prefix":"10.1007","volume":"2018","author":[{"given":"Josua","family":"Faller","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9474-5457","authenticated-orcid":false,"given":"Sourav","family":"Sarkar","sequence":"additional","affiliation":[]},{"given":"Mritunjay","family":"Verma","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,3,19]]},"reference":[{"key":"7894_CR1","unstructured":"G. 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Zhou, How to succeed at holographic correlators without really trying, arXiv:1710.05923 [INSPIRE]."},{"key":"7894_CR16","unstructured":"X. Zhou, On superconformal four-point Mellin amplitudes in dimension d > 2, arXiv:1712.02800 [INSPIRE]."},{"key":"7894_CR17","doi-asserted-by":"crossref","unstructured":"D. Ponomarev, A note on (non)-locality in holographic higher spin theories, Universe\n                           4 (2018) 2 [arXiv:1710.00403] [INSPIRE].","DOI":"10.3390\/universe4010002"},{"key":"7894_CR18","doi-asserted-by":"crossref","unstructured":"X. Bekaert, J. Erdmenger, D. Ponomarev and C. Sleight, Bulk quartic vertices from boundary four-point correlators, in Proceedings, International Workshop on Higher Spin Gauge Theories, World Scientific, Singapore, (2017), pg. 291 [arXiv:1602.08570] [INSPIRE].","DOI":"10.1142\/9789813144101_0015"},{"key":"7894_CR19","doi-asserted-by":"crossref","unstructured":"M. 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Kaviraj, K. Sen and A. Sinha, A Mellin space approach to the conformal bootstrap, JHEP\n                           05 (2017) 027 [arXiv:1611.08407] [INSPIRE].","journal-title":"JHEP"},{"key":"7894_CR23","doi-asserted-by":"publisher","first-page":"040","DOI":"10.1007\/JHEP10(2015)040","volume":"10","author":"V Gon\u00e7alves","year":"2015","unstructured":"V. Gon\u00e7alves, J. Penedones and E. Trevisani, Factorization of Mellin amplitudes, JHEP\n                           10 (2015) 040 [arXiv:1410.4185] [INSPIRE].","journal-title":"JHEP"},{"key":"7894_CR24","unstructured":"H.-Y. Chen, E.-J. Kuo and H. Kyono, Towards spinning Mellin amplitudes, arXiv:1712.07991 [INSPIRE]."},{"key":"7894_CR25","doi-asserted-by":"crossref","unstructured":"L. Iliesiu, F. Kos, D. Poland, S.S. Pufu, D. Simmons-Duffin and R. 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Kharel and G. Siopsis, Tree-level correlators of scalar and vector fields in AdS\/CFT, JHEP\n                           11 (2013) 159 [arXiv:1308.2515] [INSPIRE].","journal-title":"JHEP"},{"key":"7894_CR38","doi-asserted-by":"crossref","unstructured":"T. Kawano and K. Okuyama, Spinor exchange in AdS\n                           d+1, Nucl. Phys.\n                           B 565 (2000) 427 [hep-th\/9905130] [INSPIRE].","DOI":"10.1016\/S0550-3213(99)00639-2"},{"key":"7894_CR39","doi-asserted-by":"crossref","unstructured":"A.M. Ghezelbash, K. Kaviani, S. Parvizi and A.H. Fatollahi, Interacting spinors-scalars and AdS\/CFT correspondence, Phys. Lett.\n                           B 435 (1998) 291 [hep-th\/9805162] [INSPIRE].","DOI":"10.1016\/S0370-2693(98)00815-6"},{"key":"7894_CR40","doi-asserted-by":"publisher","first-page":"072","DOI":"10.1007\/JHEP08(2012)072","volume":"08","author":"MF Paulos","year":"2012","unstructured":"M.F. Paulos, M. Spradlin and A. Volovich, Mellin amplitudes for dual conformal integrals, JHEP\n                           08 (2012) 072 [arXiv:1203.6362] [INSPIRE].","journal-title":"JHEP"},{"key":"7894_CR41","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1007\/JHEP05(2013)105","volume":"05","author":"D Nandan","year":"2013","unstructured":"D. Nandan, M.F. Paulos, M. Spradlin and A. Volovich, Star integrals, convolutions and simplices, JHEP\n                           05 (2013) 105 [arXiv:1301.2500] [INSPIRE].","journal-title":"JHEP"},{"key":"7894_CR42","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1007\/JHEP01(2017)102","volume":"01","author":"AA Nizami","year":"2017","unstructured":"A.A. Nizami, A. Rudra, S. Sarkar and M. Verma, Exploring perturbative conformal field theory in Mellin space, JHEP\n                           01 (2017) 102 [arXiv:1607.07334] [INSPIRE].","journal-title":"JHEP"},{"key":"7894_CR43","doi-asserted-by":"publisher","first-page":"734","DOI":"10.1007\/BF02824349","volume":"3","author":"K Symanzik","year":"1972","unstructured":"K. Symanzik, On calculations in conformal invariant field theories, Lett. Nuovo Cim.\n                           3 (1972) 734 [INSPIRE].","journal-title":"Lett. Nuovo Cim."},{"key":"7894_CR44","doi-asserted-by":"crossref","unstructured":"D. Pappadopulo, S. Rychkov, J. Espin and R. Rattazzi, OPE convergence in conformal field theory, Phys. Rev.\n                           D 86 (2012) 105043 [arXiv:1208.6449] [INSPIRE].","DOI":"10.1103\/PhysRevD.86.105043"},{"key":"7894_CR45","doi-asserted-by":"crossref","unstructured":"M. Henningson and K. Sfetsos, Spinors and the AdS\/CFT correspondence, Phys. 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Phys."}],"container-title":["Journal of High Energy Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/JHEP03(2018)106.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/JHEP03(2018)106\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/JHEP03(2018)106.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T22:24:18Z","timestamp":1630621458000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/JHEP03(2018)106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3]]},"references-count":49,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,3]]}},"alternative-id":["7894"],"URL":"https:\/\/doi.org\/10.1007\/jhep03(2018)106","relation":{},"ISSN":["1029-8479"],"issn-type":[{"type":"electronic","value":"1029-8479"}],"subject":[],"published":{"date-parts":[[2018,3]]},"assertion":[{"value":"12 January 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 February 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 March 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"106"}}