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arxiv 1704.01955 v1 pith:YZB2HOQ4 submitted 2017-04-06 hep-th math.RT

Surface Defects and Chiral Algebras

Clay Cordova , Davide Gaiotto , Shu-Heng Shao This is my paper
classification hep-th math.RT
keywords defectssurfacechiralalgebradefectfour-dimensionalindexinvolving
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate superconformal surface defects in four-dimensional N=2 superconformal theories. Each such defect gives rise to a module of the associated chiral algebra and the surface defect Schur index is the character of this module. Various natural chiral algebra operations such as Drinfeld-Sokolov reduction and spectral flow can be interpreted as constructions involving four-dimensional surface defects. We compute the index of these defects in the free hypermultiplet theory and Argyres-Douglas theories, using both infrared techniques involving BPS states, as well as renormalization group flows onto Higgs branches. In each case we find perfect agreement with the predicted characters.

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Cited by 4 Pith papers

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