%0 Generic %1 Banerjee2012Light %A Banerjee, Shamik %A Hellerman, Simeon %A Maltz, Jonathan %A Shenker, Stephen H. %D 2012 %K higher-spin, on-model %T Light States in Chern-Simons Theory Coupled to Fundamental Matter %U http://arxiv.org/abs/1207.4195 %X Motivated by developments in vectorlike holography, we study SU(N) Chern-Simons theory coupled to matter fields in the fundamental representation on various spatial manifolds. On the spatial torus T^2, we find light states at small `t Hooft coupling łambda=N/k, where k is the Chern-Simons level, taken to be large. In the free scalar theory the gaps are of order łambda/N and in the critical scalar theory and the free fermion theory they are of order łambda/N. The entropy of these states grows like N Log(k). We briefly consider spatial surfaces of higher genus. Based on results from pure Chern-Simons theory, it appears that there are light states with entropy that grows even faster, like N^2 Log(k). This is consistent with the log of the partition function on the three sphere S^3, which also behaves like N^2 Log(k). These light states require bulk dynamics beyond standard Vasiliev higher spin gravity to explain them.

@misc{Banerjee2012Light, abstract = {Motivated by developments in vectorlike holography, we study SU(N) Chern-Simons theory coupled to matter fields in the fundamental representation on various spatial manifolds. On the spatial torus T^2, we find light states at small `t Hooft coupling \lambda=N/k, where k is the Chern-Simons level, taken to be large. In the free scalar theory the gaps are of order \sqrt {\lambda}/N and in the critical scalar theory and the free fermion theory they are of order \lambda/N. The entropy of these states grows like N Log(k). We briefly consider spatial surfaces of higher genus. Based on results from pure Chern-Simons theory, it appears that there are light states with entropy that grows even faster, like N^2 Log(k). This is consistent with the log of the partition function on the three sphere S^3, which also behaves like N^2 Log(k). These light states require bulk dynamics beyond standard Vasiliev higher spin gravity to explain them.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Banerjee, Shamik and Hellerman, Simeon and Maltz, Jonathan and Shenker, Stephen H.}, biburl = {https://www.bibsonomy.org/bibtex/2562c18a840289aaf4589f624d174406f/acastro}, citeulike-article-id = {10903928}, citeulike-linkout-0 = {http://arxiv.org/abs/1207.4195}, citeulike-linkout-1 = {http://arxiv.org/pdf/1207.4195}, day = 17, eprint = {1207.4195}, interhash = {b0d43667e514ad7e15f067925a80bfa0}, intrahash = {562c18a840289aaf4589f624d174406f}, keywords = {higher-spin, on-model}, month = jul, posted-at = {2012-08-03 13:53:46}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Light States in Chern-Simons Theory Coupled to Fundamental Matter}}, url = {http://arxiv.org/abs/1207.4195}, year = 2012 }