N = 4 supersymmetric yang-mills theory on orbifold-t4/ℤ2: Higher rank case

Masao Jinzenji; Toru Sasaki

N = 4 supersymmetric yang-mills theory on orbifold-t⁴/ℤ₂: Higher rank case

Research output: Contribution to journal › Article › peer-review

Abstract

We derive the partition function of N = 4 supersymmetric Yang-Mills theory on orbifold-T₄/ℤ₂ for gauge group SU(N). We generalize the method of our previous work for the SU(2) case to the SU(N) case. The resulting partition function is represented as the sum of the product of Göttche formula of singular quotient space T₄/ℤ₂ and of blow-up formulas including A_N-1 theta series with level N.

Original language	English
Pages (from-to)	XII-19
Journal	Journal of High Energy Physics
Volume	5
Issue number	12
Publication status	Published - 2001
Externally published	Yes

Keywords

Conformal field models in string theory
Differential and algebraic geometry
Gauge symmetry
Supersymmetry and duality

ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

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abstract = "We derive the partition function of N = 4 supersymmetric Yang-Mills theory on orbifold-T4/ℤ2 for gauge group SU(N). We generalize the method of our previous work for the SU(2) case to the SU(N) case. The resulting partition function is represented as the sum of the product of G{\"o}ttche formula of singular quotient space T4/ℤ2 and of blow-up formulas including AN-1 theta series with level N.",

keywords = "Conformal field models in string theory, Differential and algebraic geometry, Gauge symmetry, Supersymmetry and duality",

author = "Masao Jinzenji and Toru Sasaki",

year = "2001",

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AU - Jinzenji, Masao

AU - Sasaki, Toru

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N2 - We derive the partition function of N = 4 supersymmetric Yang-Mills theory on orbifold-T4/ℤ2 for gauge group SU(N). We generalize the method of our previous work for the SU(2) case to the SU(N) case. The resulting partition function is represented as the sum of the product of Göttche formula of singular quotient space T4/ℤ2 and of blow-up formulas including AN-1 theta series with level N.

AB - We derive the partition function of N = 4 supersymmetric Yang-Mills theory on orbifold-T4/ℤ2 for gauge group SU(N). We generalize the method of our previous work for the SU(2) case to the SU(N) case. The resulting partition function is represented as the sum of the product of Göttche formula of singular quotient space T4/ℤ2 and of blow-up formulas including AN-1 theta series with level N.

KW - Conformal field models in string theory

KW - Differential and algebraic geometry

KW - Gauge symmetry

KW - Supersymmetry and duality

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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ER -

N = 4 supersymmetric yang-mills theory on orbifold-t⁴/ℤ₂: Higher rank case

Abstract

Keywords

ASJC Scopus subject areas

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