Exploring free matrix CFT holographies at one-loop

Jin Beom Bae; Euihun Joung; Shailesh Lal

doi:10.3390/universe3040077

Exploring free matrix CFT holographies at one-loop

Jin Beom Bae, Euihun Joung, Shailesh Lal

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the SU(N) adjoint representation to other matrix models, namely the free SO(N) and Sp(N) adjoint models as well as the free U(N) × U(M) bi-fundamental and O(N) × 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.

Original language	English
Article number	77
Journal	Universe
Volume	3
Issue number	4
DOIs	https://doi.org/10.3390/universe3040077
Publication status	Published - Dec 2017

Bibliographical note

Publisher Copyright:
© 2017 by the authors.

Keywords

Higher-spin gauge theory
Partition functions
String theory

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10.3390/universe3040077

Cite this

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AU - Joung, Euihun

AU - Lal, Shailesh

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N2 - We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the SU(N) adjoint representation to other matrix models, namely the free SO(N) and Sp(N) adjoint models as well as the free U(N) × U(M) bi-fundamental and O(N) × 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.

AB - We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the SU(N) adjoint representation to other matrix models, namely the free SO(N) and Sp(N) adjoint models as well as the free U(N) × U(M) bi-fundamental and O(N) × 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.

KW - Higher-spin gauge theory

KW - Partition functions

KW - String theory

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VL - 3

JO - Universe

JF - Universe

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ER -

Exploring free matrix CFT holographies at one-loop

Abstract

Bibliographical note

Keywords

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