Non-anticommutative chiral singlet deformation of N = (1,1) gauge theory

被引：45

作者：

Ferrara, S ^{[1
]}

Ivanov, E

Lechtenfeld, O

Sokatchev, E

Zupnik, B

机构：

[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland

[2] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy

[3] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia

[4] Leibniz Univ Hannover, Inst Theoret Phys, D-301676 Hannover, Germany

[5] LAPTH, Lab Annecy Vieux Phys Theor, F-7491 Annecy Le Vieux, France

来源：

NUCLEAR PHYSICS B | 2005年 / 704卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1016/j.nuclphysb.2004.10.038

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study the SO(4) x SU(2) invariant Q-deformation of Euclidean N = (1, 1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N = (1, 1) to N = (1, 0) supersymmetry. The action of the deformed gauge theory is an integral over the chiral superspace, and only the purely chiral part of the covariant superfield strength contributes to it. We give the component form of the N = (1, 0) supersymmetric action for the gauge groups U(1) and U(n > 1). In the U(1) and U(2) cases, we find the explicit nonlinear field redefinition (Seiberg-Witten map) relating the deformed N = (1, 1) gauge multiplet to the undeformed one. This map exists in the general U(n) case as well, and we use this fact to argue that the deformed U(n) gauge theory can be nonlinearly reduced to a theory with the gauge group SU(n). (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：154 / 180

页数：27

共 22 条

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