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- Chern-Simons theory coupled to vector matter on the torus

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). Chern-Simons-matter CFTs with vector-like matter are

considered on T^3, where the dynamics is described by an effective theory for

the eigenvalues of the holonomies. We find no evidence for a Hawking-Page phase

transition at large level k. I shallÂ

also discuss some recent developments on the three dimensional higher

spin gauge theories and its CFT dual.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, December 4, 2012 - 10:00 to 11:30

Location:

Bob Room

©2012 Perimeter Institute for Theoretical Physics