Chiral algebra of the Argyres-Douglas theory from M5 branes - INSPIRE

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Chiral algebra of the Argyres-Douglas theory from M5 branes

Dan Xie
(
- Tsinghua U., Beijing
)
,
Wenbin Yan
(
- Tsinghua U., Beijing
)
,
Shing-Tung Yau
(
- Harvard U., Dept. Math. and
- Harvard U., Phys. Dept.
)

Apr 7, 2016

6 pages

Published in:

Phys.Rev.D 103 (2021) 6, 065003

Published: Mar 9, 2021

e-Print:

1604.02155 [hep-th]

DOI:

10.1103/PhysRevD.103.065003

View in:

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Abstract: (APS)

We study chiral algebras associated with Argyres-Douglas theories engineered from M5 branes. For the theory engineered using 6D (2,0) type J theory on a sphere with a single irregular singularity (without mass parameter), its chiral algebra is the minimal model of W algebra of J type. For the theory engineered using an irregular singularity and a regular full singularity, its chiral algebra is the affine Kac-Moody algebra of J type. We can obtain the Schur index of these theories by computing the vacua character of the corresponding chiral algebra.

Note:

5 pages, 1 figure

Formal aspects of field theory, field theory in curved space
algebra: chiral
algebra: Kac-Moody
algebra: W
model: minimal
singularity
membrane model
vacuum state
sphere
affine

References(37)

Figures(0)

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