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Schur Indices, BPS Particles, and Argyres-Douglas Theories | | Clay Cordova
; Shu-Heng Shao
; | | Date: |
31 May 2015 | | Abstract: | We conjecture a precise relationship between the Schur limit of the
superconformal index of four-dimensional $mathcal{N}=2$ field theories, which
counts local operators, and the spectrum of BPS particles on the Coulomb
branch. We verify this conjecture for the special case of free field theories,
$mathcal{N}=2$ QED, and $SU(2)$ gauge theory coupled to fundamental matter.
Assuming the validity of our proposal, we compute the Schur index of all
Argyres-Douglas theories. Our answers match expectations from the connection of
Schur operators with two-dimensional chiral algebras. Based on our results we
propose that the chiral algebra of the generalized Argyres-Douglas theory
$(A_{k-1},A_{N-1})$ with $k$ and $N$ coprime, is the vacuum sector of the
$(k,k+N)$ $W_{k}$ minimal model, and that the Schur index is the associated
vacuum character. | | Source: | arXiv, 1506.0265 | | Services: | Forum | Review | PDF | Favorites | |
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