Localizing gauge theories

Niklta A. Nekrasov

doi:10.1142/9789812704016_0066

Localizing gauge theories

Niklta A. Nekrasov

Simons Center for Geometry & Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

32 Scopus citations

Abstract

We study N = 2 supersymmetric gauge theories on toric four dimensional manifolds. We recall the notion of Ω-background and calculate the partition function of gauge theory in this background. As a result, we get generalizations of the formulae of the author for the theories on ℝ⁴ and Nakajima-Yoshioka for the theories on ℝ⁴ blown up at one point. In the case of compact toric space our results give an alternative derivation of Donaldson invariants, and generalize the results of Göttche-Zagier.

Original language	English
Title of host publication	XIVth International Congress on Mathematical Physics
Subtitle of host publication	Lisbon, 28 July - 2 August 2003
Publisher	World Scientific Publishing Co.
Pages	645-654
Number of pages	10
ISBN (Electronic)	9789812704016
ISBN (Print)	981256201X, 9789812562012
DOIs	https://doi.org/10.1142/9789812704016_0066
State	Published - Jan 1 2006

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abstract = "We study N = 2 supersymmetric gauge theories on toric four dimensional manifolds. We recall the notion of Ω-background and calculate the partition function of gauge theory in this background. As a result, we get generalizations of the formulae of the author for the theories on ℝ4 and Nakajima-Yoshioka for the theories on ℝ4 blown up at one point. In the case of compact toric space our results give an alternative derivation of Donaldson invariants, and generalize the results of G{\"o}ttche-Zagier.",

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AB - We study N = 2 supersymmetric gauge theories on toric four dimensional manifolds. We recall the notion of Ω-background and calculate the partition function of gauge theory in this background. As a result, we get generalizations of the formulae of the author for the theories on ℝ4 and Nakajima-Yoshioka for the theories on ℝ4 blown up at one point. In the case of compact toric space our results give an alternative derivation of Donaldson invariants, and generalize the results of Göttche-Zagier.

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SN - 9789812562012

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BT - XIVth International Congress on Mathematical Physics

PB - World Scientific Publishing Co.

ER -

Localizing gauge theories

Abstract

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