HIGHER-DERIVATIVE SUPERSYMMETRY AND THE WITTEN INDEX

被引:232
作者
ANDRIANOV, AA [1 ]
IOFFE, MV [1 ]
SPIRIDONOV, VP [1 ]
机构
[1] UNIV MONTREAL,PHYS NUCL LAB,MONTREAL H3C 3J7,QUEBEC,CANADA
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0375-9601(93)90137-O
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a higher-order derivative generation of supersymmetric quantum mechanics. It is formally based on the standard superalgebra but supercharges involve differential operators of order n. As a result, their anticommutator entails a polynomial of a Hamiltonian. The Witten index does not characterize spontaneous SUSY breaking in such models. The construction naturally arises after truncation of the order n parasupersymmetric quantum mechanics which in turn is built by glueing of n ordinary supersymmetric systems.
引用
收藏
页码:273 / 279
页数:7
相关论文
共 21 条
[1]  
AKHOURY R, 1984, NUCL PHYS B, V246, P253, DOI 10.1016/0550-3213(84)90296-7
[2]   FROM SUPERSYMMETRIC QUANTUM-MECHANICS TO A PARASUPERSYMMETRIC ONE [J].
ANDRIANOV, AA ;
IOFFE, MV .
PHYSICS LETTERS B, 1991, 255 (04) :543-548
[3]   THE FACTORIZATION METHOD AND QUANTUM-SYSTEMS WITH EQUIVALENT ENERGY-SPECTRA [J].
ANDRIANOV, AA ;
BORISOV, NV ;
IOFFE, MV .
PHYSICS LETTERS A, 1984, 105 (1-2) :19-22
[4]   PARASUPERSYMMETRY AND TRUNCATED SUPERSYMMETRY IN QUANTUM-MECHANICS [J].
ANDRIANOV, AA ;
IOFFE, MV ;
SPIRIDONOV, VP ;
VINET, L .
PHYSICS LETTERS B, 1991, 272 (3-4) :297-304
[5]  
ANDRIANOV AA, 1984, PHYS LETT A, V109, P143
[6]   A SUPERSYMMETRY ANOMALY AND THE FERMIONIC STRING [J].
CECOTTI, S ;
GIRARDELLO, L .
NUCLEAR PHYSICS B, 1984, 239 (02) :573-582
[7]   HIGHER-ORDER PARASUPERSYMMETRIC QUANTUM-MECHANICS [J].
DURAND, S ;
MAYRAND, M ;
SPIRIDONOV, V ;
VINET, L .
MODERN PHYSICS LETTERS A, 1991, 6 (34) :3163-3169
[8]  
Gendenshtein L. E., 1985, Soviet Physics - Uspekhi, V28, P645, DOI 10.1070/PU1985v028n08ABEH003882
[9]  
GENDENSTEIN LE, 1988, DYNAMICAL GROUPS SPE
[10]   FRACTIONIZATION OF THE WITTEN INDEX [J].
NIEMI, AJ ;
WIJEWARDHANA, LCR .
PHYSICS LETTERS B, 1984, 138 (5-6) :389-392