2d TQFT structure of the superconformal indices with outer-automorphism twists - INSPIRE

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2d TQFT structure of the superconformal indices with outer-automorphism twists

Noppadol Mekareeya
(
- Munich, Max Planck Inst.
)
,
Jaewon Song
(
- UC, San Diego
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)

Dec, 2012

35 pages

Published in:

JHEP 03 (2013) 171

e-Print:

1212.0545 [hep-th]

DOI:

10.1007/JHEP03(2013)171

Report number:

MPP-2012-153,
UCSD-PTH-12-18,
IPMU-12-0219,
UT-12-40

View in:

reference search47 citations

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Abstract: (Springer)

We study the superconformal indices of 4d theories coming from 6d = (2, 0) theory of type Γ on a Riemann surface, with the action of the outer-automorphism σ in the trace. We find that the indices are given by the partition function of a deformed 2d Yang-Mills on the Riemann surface with gauge group G which is S-dual to the subgroup of Γ fixed by σ. In the 2-parameter deformed version, we find that it is governed not by Macdonald polynomials of type G, but by Macdonald polynomials associated to twisted affine root systems.

Note:

33 pages, 1 figure

field theory: topological
Riemann surface
deformation
conformal
twist
partition function
Yang-Mills
S-duality
affine
dimension: 2

References(30)

Figures(1)

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