Probing AdS4/CFT3 proposals beyond chiral rings

We investigate the N = 2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for theories proposed as dual theories to homogeneous spaces V 5,2 , Q 1,1,1 , Q 2,2,2 , M 1,1,1 , and N 0,1,0 . We confirm that the indices have symmetries expected from the isometries of dual manifolds. *

“…This analysis is extended into monopole sectors in [13], and the agreement is again confirmed. Similar analysis is performed for N = 3, 4, 5 Chern-Simons theories in [14,15,16].…”

Section: Introductionmentioning

confidence: 77%

Superconformal index for large N quiver Chern-Simons theories

Imamura

Yokoyama

2011

“…In [12] superconformal characters of three-dimensional supersymmetric theories have been constructed and, after taking restrictions for parameters in them, SCIs for theories considered in [10] can be obtained in a different way. In [13,14,15,16,17], various three-dimensional SCIs were calculated in the large N limit for comparison with their gravity duals. The partition functions of three-dimensional supersymmetric field theories are studied in [18,19,20,21,22,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Superconformal indices of three-dimensional theories related by mirror symmetry

Krattenthaler

Spiridonov²,

Vartanov

2011

104

145

Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by the mirror symmetry. The proofs are based on the well known identities of the theory of $q$-special functions. We also suggest the general index formula taking into account the $U(1)_J$ global symmetry present for abelian theories

“…Further for chiral theories, there is a discrepancy between the gauge theory superconformal index and the index on the corresponding gravity side at higher orders [46,47]. We hope to figure out whether there is procedure analogous to symmetrization procedure which will help in resolving this discrepancy.…”

Section: Jhep07(2014)084mentioning

confidence: 96%

Is toric duality a Seiberg-like duality in (2 + 1)-d ?

Dwivedi

Ramadevi

2014

Abstract:We show that not all (2 + 1) dimensional toric phases are Seiberg-like duals. Particularly, we work out superconformal indices for the toric phases of Fanos C 3 , C 5 and B 2 . We find that the indices for the two toric phases of Fano B 2 do not match, which implies that they are not Seiberg-like duals. We also take the route of acting Seiberg-like duality transformation on toric quiver Chern-Simons theories to obtain dual quivers. We study two examples and show that Seiberg-like dual quivers are not always toric quivers.