N=2 sigma model with a twisted mass and superpotential:: Central charges and solitons -: art. no. 045006

被引:23
作者
Losev, A
Shifman, M
机构
[1] Inst Theoret & Expt Phys, Moscow 117259, Russia
[2] Univ Minnesota, William I Fine Theoret Phys Inst, Minneapolis, MN 55455 USA
[3] CERN, Div Theory, CH-1211 Geneva, Switzerland
来源
PHYSICAL REVIEW D | 2003年 / 68卷 / 04期
关键词
D O I
10.1103/PhysRevD.68.045006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider supersymmetric sigma models on the Kahler target spaces, with a twisted mass. The Kahler spaces are assumed to have holomorphic Killing vectors. The introduction of a superpotential of a special type is known to be consistent with N=2 superalgebra (Alvarez-Gaume and Freedman). We show that the algebra acquires central charges in the anticommutators {Q(L),Q(L)} and {Q(R),Q(R)}. These central charges have no parallels, and they can exist only in two dimensions. The central extension of the N=2 superalgebra we find paves the way to a novel phenomenon-spontaneous breaking of a part of the supersymmetry. In the general case, 1/2 of the supersymmetry is spontaneously broken (the vacuum energy density is positive), while the remaining 1/2 is realized linearly. In the model at hand, the standard fermion number is not defined, so that the Witten index as well as the Cecotti-Fendley-Intriligator-Vafa index are useless. We show how to construct an index for counting short multiplets in internal algebraic terms which is well defined in spite of the absence of the standard fermion number. Finally, we outline the derivation of the quantum anomaly in the anticommutator {(Q) over bar (L),Q(R)}.
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页数:11
相关论文
共 23 条
[1]   POTENTIALS FOR THE SUPERSYMMETRIC NON-LINEAR SIGMA-MODEL [J].
ALVAREZGAUME, L ;
FREEDMAN, DZ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (01) :87-101
[2]  
[Anonymous], HEPTH0002222
[3]   A NEW SUPERSYMMETRIC INDEX [J].
CECOTTI, S ;
FENDLEY, P ;
INTRILIGATOR, K ;
VAFA, C .
NUCLEAR PHYSICS B, 1992, 386 (02) :405-452
[4]   ON CLASSIFICATION OF N = 2 SUPERSYMMETRIC THEORIES [J].
CECOTTI, S ;
VAFA, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 158 (03) :569-644
[5]   BPS-saturated walls in supersymmetric theories [J].
Chibisov, B ;
Shifman, M .
PHYSICAL REVIEW D, 1997, 56 (12) :7990-8013
[6]   BPS-saturated walls in supersymmetric theories (vol 56, pg 7990, 1997) [J].
Chibisov, B ;
Shifman, M .
PHYSICAL REVIEW D, 1998, 58 (10)
[7]   THERE ARE NO GOLDSTONE BOSONS IN 2 DIMENSIONS [J].
COLEMAN, S .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 31 (04) :259-264
[8]  
Dorey N, 1998, J HIGH ENERGY PHYS
[9]   Domain walls in strongly coupled theories (vol 396, pg 64, 1997) [J].
Dvali, G ;
Shifman, M .
PHYSICS LETTERS B, 1997, 407 (3-4) :452-452
[10]   Domain walls in strongly coupled theories [J].
Dvali, G ;
Shifman, M .
PHYSICS LETTERS B, 1997, 396 (1-4) :64-69