Partition function of 
N=2
 supersymmetric gauge theory and two-dimensional Yang-Mills theory

We consider the half-genus expansion of the resolvent function in the β-deformed matrix model with three-Penner potential under the AGT conjecture and the 0d–4d dictionary. The partition function of the model, after the specification of the paths, becomes the DF conformal block for fixed c and provides the Nekrasov partition function expanded both in [Formula: see text] and in ϵ = ϵ1+ϵ2. Exploiting the explicit expressions for the lower terms of the free energy extracted from the above expansion, we derive the first few ϵ corrections to the Seiberg–Witten prepotential in terms of the parameters of SU(2), Nf = 4, [Formula: see text] supersymmetric gauge theory.

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TOWARDS THE LOCALIZATION OF SUSY GAUGE THEORY ON A CURVED SPACE

International Journal of Modern Physics A ◽

10.1142/s0217751x12500297 ◽

2012 ◽

Vol 27 (06) ◽

pp. 1250029 ◽

Cited By ~ 3

Author(s):

KOICHI NAGASAKI ◽

SATOSHI YAMAGUCHI

Keyword(s):

Supersymmetric Gauge Theory ◽

Gauge Theory ◽

Path Integral ◽

General Class ◽

Positive Definite ◽

Curved Space ◽

Yang Mills ◽

Curved Spaces ◽

Supersymmetric Gauge ◽

Exact Term

We consider an [Formula: see text] supersymmetric gauge theory on a curved space. We try to generalize Pestun's localization calculation on the four-sphere to a more general class of curved spaces. We calculated the Q-exact term to localize the path-integral, and when it becomes positive-definite, we obtain a configuration where the path-integral localizes. We also evaluate the super-Yang–Mills action in this configuration.

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DIFFEOMORPHICALLY NONEQUIVALENT CLASSES OF SOLUTIONS IN GAUGE THEORIES ON GROUP MANIFOLDS

International Journal of Modern Physics A ◽

10.1142/s0217751x88000965 ◽

1988 ◽

Vol 03 (10) ◽

pp. 2303-2313

Author(s):

C. ABECASIS ◽

A. FOUSSATS ◽

O. ZANDRON

Keyword(s):

Supersymmetric Gauge Theory ◽

Gauge Theory ◽

Gauge Theories ◽

Poincare Group ◽

Yang Mills ◽

Group Manifold ◽

Theory Of Gravity ◽

Supersymmetric Gauge ◽

Geometrical Formulation ◽

Gauge Theory Of Gravity

For the Poincare group manifold we prove that there are solutions for the pseudo-connection one-forms (Yang-Mills potentials) which are not diffeomorphically equivalent to those initially proposed by Ne’eman and Regge in their gauge theory of gravity and supergravity on a (super) group manifold. This is done by imposing the factorization conditions to the geometrical formulation of supersymmetric gauge theory.

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Discrete Painlevé system for the partition function of N f = 2 SU(2) supersymmetric gauge theory and its double scaling limit

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ab3f4f ◽

2019 ◽

Vol 52 (41) ◽

pp. 415401

Author(s):

H Itoyama ◽

T Oota ◽

Katsuya Yano

Keyword(s):

Supersymmetric Gauge Theory ◽

Gauge Theory ◽

Partition Function ◽

Scaling Limit ◽

Supersymmetric Gauge ◽

Double Scaling Limit

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N=2 SUPERMULTIPLET OF CURRENTS AND ANOMALOUS TRANSFORMATIONS IN SUPERSYMMETRIC GAUGE THEORY

Modern Physics Letters A ◽

10.1142/s0217732398001133 ◽

1998 ◽

Vol 13 (13) ◽

pp. 1063-1069 ◽

Cited By ~ 2

Author(s):

H. ITOYAMA ◽

M. KOIKE ◽

H. TAKASHINO

Keyword(s):

Supersymmetric Gauge Theory ◽

Gauge Theory ◽

Energy Momentum Tensor ◽

Central Charge ◽

Momentum Tensor ◽

Quantum Mechanical ◽

Supersymmetry Transformation ◽

Loop Order ◽

Yang Mills ◽

Supersymmetric Gauge

We examine some properties of supermultiplet consisting of the U (1)J current, extended supercurrents, energy–momentum tensor and the central charge in N = 2 supersymmetric Yang–Mills theory. The superconformal improvement requires adding another supermultiplet starting from the U (1)R current. We determine the anomalous (quantum mechanical) supersymmetry transformation associated with the central charge and the energy–momentum tensor to one-loop order. We find nonvanishing fermionic contribution to the central charge.

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