Solvable lie algebras in type IIA, type IIB and M-theories

被引:62
作者
Andrianopoli, L
DAuria, R
Ferrara, S
Fre, P
Minasian, R
Trigiante, M
机构
[1] IST NAZL FIS NUCL,SEZIONE GENOVA,I-16146 GENOA,ITALY
[2] CERN,DIV THEORET,CH-1211 GENEVA,SWITZERLAND
[3] UNIV TURIN,DIPARTIMENTO FIS TEOR,I-10125 TURIN,ITALY
[4] IST NAZL FIS NUCL,SEZIONE TORINO,I-10125 TURIN,ITALY
[5] SCUOLA INT SUPER STUDI AVANZATI,I-34100 TRIESTE,ITALY
[6] IST NAZL FIS NUCL,SEZIONE TRIESTE,I-34014 TRIESTE,ITALY
关键词
D O I
10.1016/S0550-3213(97)00136-3
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 some applications of solvable Lie algebras in type IIA, type IIB and M-theories. RR and NS generators find a natural geometric interpretation in this framework. Special emphasis is given to the counting of the abelian nilpotent ideals (translational symmetries of the scalar manifolds) in arbitrary D dimensions. These are seen to be related, using Dynkin diagram techniques, to one-form counting in D + 1 dimensions. A recipe for gauging isometries in this framework is also presented. In particular, we list the gauge groups both for compact and translational isometries. The former agree with some results already existing in gauged supergravity. The latter should be possibly related to the study of partial supersymmetry breaking, as suggested by a similar role played by solvable Lie algebras in N = 2 gauged supergravity. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:249 / 277
页数:29
相关论文
共 45 条
[1]  
ALEKSEEVSKII DV, 1975, MATH USSR IZVESTIJA, V9
[2]  
ANDRIANOPOLI L, HEPTH9611014
[3]  
ANDRIANOPOLI L, HEPTH9612105
[4]   SIGMA-MODELS, DUALITY TRANSFORMATIONS AND SCALAR POTENTIALS IN EXTENDED SUPERGRAVITIES [J].
CASTELLANI, L ;
CERESOLE, A ;
DAURIA, R ;
FERRARA, S ;
FRE, P ;
MAINA, E .
PHYSICS LETTERS B, 1985, 161 (1-3) :91-95
[5]  
Castellani L., SUPERGRAVITY SUPERST, V1
[6]   MASSIVE VECTOR MULTIPLETS FROM SUPERSTRINGS [J].
CECOTTI, S ;
FERRARA, S ;
GIRARDELLO, L .
NUCLEAR PHYSICS B, 1987, 294 (02) :537-555
[7]   N = 8 SUPERGRAVITY WITH LOCAL SO(8)XSU(8) INVARIANCE [J].
DEWIT, B ;
NICOLAI, H .
PHYSICS LETTERS B, 1982, 108 (4-5) :285-290
[8]  
DUFF M, CPTTAMU3396
[9]   Minimal Higgs branch for the breaking of half of the supersymmetries in N=2 supergravity [J].
Ferrara, S ;
Girardello, L ;
Porrati, M .
PHYSICS LETTERS B, 1996, 366 (1-4) :155-159
[10]   Universality of supersymmetric attractors [J].
Ferrara, S ;
Kallosh, R .
PHYSICAL REVIEW D, 1996, 54 (02) :1525-1534