{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:15:49Z","timestamp":1760242549362,"version":"build-2065373602"},"reference-count":58,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,11,9]],"date-time":"2017-11-09T00:00:00Z","timestamp":1510185600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Universe"],"abstract":"<jats:p>We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the     S U ( N )     adjoint representation to other matrix models, namely the free     S O ( N )     and     S p ( N )     adjoint models as well as the free     U ( N ) \u00d7 U ( M )     bi-fundamental and     O ( N ) \u00d7 O ( M )     bi-vector models. After determining the spectrum of the theories in the planar limit by Polya counting, we compute the one loop vacuum energy and Casimir energy for their respective bulk duals by means of the Character Integral Representation of the Zeta Function (CIRZ) method, which we recently introduced. We also elaborate on possible ambiguities in the application of this method.<\/jats:p>","DOI":"10.3390\/universe3040077","type":"journal-article","created":{"date-parts":[[2017,11,9]],"date-time":"2017-11-09T11:33:02Z","timestamp":1510227182000},"page":"77","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Exploring Free Matrix CFT Holographies at One-Loop"],"prefix":"10.3390","volume":"3","author":[{"given":"Jin-Beom","family":"Bae","sequence":"first","affiliation":[{"name":"Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-Gu, Seoul 02455, Korea"}]},{"given":"Euihun","family":"Joung","sequence":"additional","affiliation":[{"name":"Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul 02447, Korea"}]},{"given":"Shailesh","family":"Lal","sequence":"additional","affiliation":[{"name":"LPTHE-UMR 7589, UPMC Paris 06, Sorbonne Universites, 75005 Paris, France"}]}],"member":"1968","published-online":{"date-parts":[[2017,11,9]]},"reference":[{"key":"ref_1","first-page":"51","article-title":"The Large N limit of superconformal field theories and supergravity","volume":"484","author":"Maldacena","year":"1999","journal-title":"Int. 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