Superconformal Index, BPS Monodromy and Chiral Algebras - INSPIRE

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Superconformal Index, BPS Monodromy and Chiral Algebras

Sergio Cecotti
(
- SISSA, Trieste
)
,
Jaewon Song
(
- UC, San Diego
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)
,
Wenbin Yan
(
- Harvard U., Phys. Dept. and
- Caltech and
- Harvard U., Dept. Math.
)

Nov 4, 2015

93 pages

Published in:

JHEP 11 (2017) 013

Published: Nov 6, 2017

e-Print:

1511.01516 [hep-th]

DOI:

10.1007/JHEP11(2017)013

View in:

reference search71 citations

Citations per year

Abstract: (Springer)

We show that specializations of the 4d

\mathcal{N}=2

superconformal index labeled by an integer N is given by Tr ℳ

^{N}

where ℳ is the Kontsevich-Soibelman monodromy operator for BPS states on the Coulomb branch. We provide evidence that the states enumerated by these limits of the index lead to a family of 2d chiral algebras

{\mathcal{A}}_N

. This generalizes the recent results for the N = −1 case which corresponds to the Schur limit of the superconformal index. We show that this specialization of the index leads to the same integrand as that of the elliptic genus of compactification of the superconformal theory on S

^{2}

× T

^{2}

where we turn on

\frac{1}{2}N

units of U(1)

_{r}

flux on S

^{2}

.

Note:

91+2 pages, 4 figures; v2 references added

Conformal Field Theory
Supersymmetric Gauge Theory
conformal
monodromy
BPS
algebra: chiral
compactification
Coulomb
flux

References(71)

Figures(2)

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