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Conformal and W Symmetry
Gauge Theory
Large N Limit
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BrezinGrossWitten model as “pure gauge” limit of Selberg integrals
BrezinGrossWitten model as “pure gauge” limit of Selberg integrals,10.1007/JHEP03(2011)102,Journal of High Energy Physics,A. Mironov,A. Morozov,Sh.
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BrezinGrossWitten model as “pure gauge” limit of Selberg integrals
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Citations: 1
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A. Mironov
,
A. Morozov
,
Sh. Shakirov
The AGT relation identifies the Nekrasov functions for various $$ \mathcal{N} = 2 $$ SUSY gauge theories with the 2d conformal blocks, which possess explicit DotsenkoFateev
matrix model
(βensemble) representations the latter being polylinear combinations of Selberg integrals. The “pure gauge” limit of these matrix models is, however, a nontrivial multiscaling largeN limit, which requires a separate investigation. We show that in this pure gauge limit the Selberg integrals turn into averages in a BrezinGrossWitten (BGW) model. Thus, the Nekrasov function for pure SU(2) theory acquires a form very much reminiscent of the AMM decomposition formula for some model X into a pair of the BGW models. At the same time, X, which still has to be found, is the pure gauge limit of the elliptic Selberg integral. Presumably, it is again a BGW model, only in the DijkgraafVafa double cut phase.
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 3, pp. 125, 2011
DOI:
10.1007/JHEP03(2011)102
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References
(73)
Liouville Correlation Functions from FourDimensional Gauge Theories
(
Citations: 117
)
Luis F. Alday
,
Davide Gaiotto
,
Yuji Tachikawa
Journal:
Letters in Mathematical Physics  LETT MATH PHYS
, vol. 91, no. 2, pp. 167197, 2010
Combinatorial expansions of conformal blocks
(
Citations: 24
)
A. V. Marshakov
,
A. D. Mironov
,
A. Yu. Morozov
Journal:
Theoretical and Mathematical Physics  THEOR MATH PHYSENGL TR
, vol. 164, no. 1, pp. 831852, 2010
CFT exercises for the needs of AGT
(
Citations: 21
)
Andrei Mironov
,
Sergei Mironov
,
Alexei Morozov
,
Andrey Morozov
Published in 2009.
The power of Nekrasov functions
(
Citations: 30
)
A. Mironov
,
A. Morozov
Journal:
Physics Letters B  PHYS LETT B
, vol. 680, no. 2, pp. 188194, 2009
On nonconformal limit of the AGT relations
(
Citations: 40
)
A. Marshakov
,
A. Mironov
,
A. Morozov
Journal:
Physics Letters B  PHYS LETT B
, vol. 682, no. 1, pp. 125129, 2009
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Citations
(1)
Generalized matrix models and AGT correspondence at all genera
Giulio Bonelli
,
Kazunobu Maruyoshi
,
Alessandro Tanzini
,
Futoshi Yagi
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 7, pp. 124, 2011