Bootstrapping the superconformal index with surface defects

By D. Gaiotto, L. Rastelli, Shlomo S. Razamat. 2012

288 citations recorded by the source corpus.

A bstractThe analytic properties of the $ \mathcal{N}=2 $ superconformal index are given a physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of supersymmetric vortices. The residue of the index at a pole in flavor fugacity is interpreted as the index of a superconformal field theory without this flavor symmetry, but endowed with an additional surface defect. The residue can be efficiently extracted by acting on the index with a difference operator of Ruijsenaars-Schneider type. By imposing the associativity constraints of S-duality, we are then able to evaluate the index of all generalized quiver theories of type A, for generic values of the three superconformal fugacities, with or without surface defects.

Subfields: Condensed Matter Physics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8577788c75d104f85f5a9b81ca782d746aec6c3d

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Citations in the corpus

N=1 theories of class S_k (2015, methodology): “Different poles of the index correspond to operators for which a vev can be turned on with residues being indices of the theories flown to in the IR [12].”
2d index and surface operators (2013, methodology): “); ( zq;p;q) = (z;p)( z;p;q): (5.27) It is this property that will turn out to be crucial in showing the S-duality invariance of the surface operator index and also in relating our result to that of [13]. As in the 2dcase, the { 30 { 4dvector multiplet contribution changes the measure of the gauge f”
Defects and quantum Seiberg-Witten geometry (2014, background): “For instance, in [48], some approximate solutions to the elliptic RS eigenvalue problem are labeled by a discrete parameter.”
On the superconformal index of Argyres–Douglas theories (2015, methodology): “To that end, recall the prescription given in [27] for relating the UV and IR indices of the RG flow induced by turning on the vev of a Higgs branch operator, O, of charge fk,O under some U(1)k flavor symmetry (this symmetry may correspond to a Cartan of a non-abelian symmetry) and SU(2)R weight RO”
Elliptic stable envelopes (2016, background): “uired to state and prove our results. We denote by QM(X) = {stable f: P1 99KX} ∼= 5Diﬀerence equations arising from supersymmetric gauge theories are actively studied by physicists, see for example [29]. 44 the moduli space of stable quasimaps to Xas deﬁned in [17]. This is a countable union of alg”
Infinite Chiral Symmetry in Four Dimensions (2013, background): “ dening embeddings ˆi) can be thought of as arising by coupling the theory with a maximal puncture to a certain superconformal tail and then turning on specic Higgs branch vacuum expectation values [61,62]. Though we do not write down the explicit formulae, the central charges for these theories can”