TY - JOUR

T1 - Non-anticommutative chiral singlet deformation of N = (1,1,) gauge theory

AU - Ferrara, Sergio

AU - Ivanov, E.

AU - Lechtenfeld, O.

AU - Sokatchev, Emeri

AU - Zupnik, B.

N1 - Funding Information: The work of S.F., E.I., E.S. and B.Z. has been supported in part by the INTAS grant No. 00-00254. S.F. and E.S. have been supported in part by the D.O.E. grant DE-FG03-91ER40662, Task C and S.F. by the European Community's Human Potential Program under contract HPRN-CT-2000-00131 “Quantum Space–Time”. E.I., O.L. and B.Z. are grateful to the DFG grant No. 436 RUS 113/669-02 and a grant of the Heisenberg-Landau program. The work of O.L. receives support from the DFG grant LE 838/7-2 in the priority programm “String Theory” (SPP 1096). E.I. and B.Z. also acknowledge support from the RFBR grant No. 03-02-17440 and the NATO grant PST.GLG.980302. They thank the Institute of Theoretical Physics of the University of Hannover for the kind hospitality extended to them on different stages of this work. Copyright: Copyright 2005 Elsevier B.V., All rights reserved.

PY - 2005/1/3

Y1 - 2005/1/3

N2 - We study the SO (4) × 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).

AB - We study the SO (4) × 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).

UR - http://www.scopus.com/inward/record.url?scp=10944257361&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2004.10.038

DO - 10.1016/j.nuclphysb.2004.10.038

M3 - Article

AN - SCOPUS:10944257361

VL - 704

SP - 154

EP - 180

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -