Quantum geometry and quiver gauge theories
Citation:
Nikita Nekrasov, Vasily Pestun, Samson Shatashvili, Quantum geometry and quiver gauge theories, High Energy Physics - Theory, 2013, 1-83Abstract:
We study macroscopically two dimensional
N
= (2
,
2)
supersymmetric
gauge theories constructed by compactifying the quiver gau
ge theories with eight su-
percharges on a product
T
d
?
R
2
?
of a
d
-dimensional torus and a two dimensional
cigar with
?
-deformation. We compute the universal part of the effective
twisted
superpotential. In doing so we establish the correspondenc
e between the gauge the-
ories, quantization of the moduli spaces of instantons on
R
2
?
d
?
T
2+
d
and singular
monopoles on
R
2
?
d
?
T
1+
d
, for
d
= 0
,
1
,
2
, and the Yangian
Y
?
(
g
?
)
, quantum affine
algebra
U
aff
q
(
g
?
)
, or the quantum elliptic algebra
U
ell
q,p
(
g
?
)
associated to Kac-Moody
algebra
g
?
for quiver
?
Author's Homepage:
http://people.tcd.ie/shatassDescription:
PUBLISHED
Author: SHATASHVILI, SAMSON
Type of material:
Journal ArticleSeries/Report no:
High Energy Physics - TheoryAvailability:
Full text availableKeywords:
ChemistryMetadata
Show full item recordLicences: