Supersymmetric indices of 3d S-fold SCFTs

Abstract

Enhancement of global symmetry and supersymmetry in the infrared is one of the most intriguing phenomena in quantum field theory. We investigate such phenomena in a large class of three dimensional superconformal field theories, known as the S-fold SCFTs. Supersymmetric indices are computed for a number of theories containing small rank gauge groups. It is found that indices of several models exhibit enhancement of supersymmetry at the superconformal fixed point in the infrared. Dualities between S-fold theories that have different quiver descriptions are also analysed. We explore a new class of theories with a discrete global symmetry, whose gauge symmetry in the quiver has a different global structure from those that have been studied earlier.arXiv:1905.07183v2 [hep-th]

3d dualities from 2d free field correlators: recombination and rank stabilization

“…(B. 28) This identity can be proven with a piecewise procedure similar to the one used in appendix B.1 to prove the self-duality of F M [SU (2)]. More precisely, we apply the ultimate penthagon identity (B.3) from right to left to the following block of double-sine functions…”

“…Analogous constructions are known for T [SU(N )], which is for several aspects similar to F M [SU(N )]. Indeed, T [SU(N )] can be used as a building block for constructing several interesting theories, such as the star-shaped quivers [19] which are mirror dual to the dimensional reduction of class S theories [20] and the S-fold CFTs [21][22][23][24][25][26][27][28]. It is also known that T [SU(N )] is the S-duality wall for the 4d N = 4 SYM [14].…”

Universal properties of Kaluza-Klein gravitons

“…The spin-2 spectrum about the AdS 4 solution [17] of type IIB supergravity that uplifts on a six-dimensional S-fold from the N = 4 SO(4)-invariant critical point [8] of D = 4 N = 8 [SO(6) × SO(1, 1)] ⋉ R 12 -gauged supergravity [4,2] can be computed as in section 2. This solution has concrete field theory duals for specific choices of the period T of the S-fold coordinate η [40] (see also [41,42,43,44,45]). For this reason, it is particularly interesting to go in some detail about the corresponding spin-2 spectrum.…”

$$ \mathcal{N} $$ = 2 supersymmetric S-folds

“…Together with the N = 4 & SO(4) solution, additional N = 0 & SO(6) [31] and N = 1 & SU(3) [32] solutions have been found and uplifted to similar S-fold backgrounds of type IIB supergravity with hyperbolic monodromies in [32]. From a holographic perspective, these AdS 4 vacua describe new strongly coupled three-dimensional CFT's, referred to as J-fold CFT's in [33] (see also [34,35] and [36]), which are localised on interfaces of N = 4 super-Yang-Mills theory (SYM) [37]. In the N = 4 case [33], a hyperbolic monodromy J = −S T k ∈ SL(2, Z) IIB was shown to introduce a Chern-Simons level k in the dual J-fold CFT which, in turn, is constructed from the T (U (N )) theory [38] upon suitable gauging of flavour symmetries.…”