NEW JACOBI-LIKE IDENTITIES FOR ZK PARAFERMION CHARACTERS

被引:11
作者
ARGYRES, PC [1 ]
DIENES, KR [1 ]
TYE, SHH [1 ]
机构
[1] MCGILL UNIV,DEPT PHYS,MONTREAL H3A 2T8,QUEBEC,CANADA
关键词
D O I
10.1007/BF02102105
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We state and prove various new identities involving the Z(K) parafermion characters (or level-K string functions) c(n)l for the cases K = 4, K = 8, and K = 16. These identities fall into three classes: identities in the first class are generalizations of the famous Jacobi theta-function identity (which is the K = 2 special case), identities in another class relate the level K > 2 characters to the Dedekind eta-function, and identities in a third class relate the K > 2 characters to the Jacobi theta-functions. These identities play a crucial role in the interpretation of fractional superstring spectra by indicating spacetime supersymmetry and aiding in the identification of the spacetime spin and statistics of fractional superstring states.
引用
收藏
页码:471 / 508
页数:38
相关论文
共 27 条
[1]   NOVEL STATISTICS FOR STRINGS AND STRING CHERN-SIMON TERMS [J].
ANEZIRIS, C ;
BALACHANDRAN, AP ;
KAUFFMAN, L ;
SRIVASTAVA, AM .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (14) :2519-2558
[2]   FRACTIONAL SUPERSTRINGS WITH SPACE-TIME CRITICAL DIMENSION-4 AND DIMENSION-6 [J].
ARGYRES, PC ;
TYE, SHH .
PHYSICAL REVIEW LETTERS, 1991, 67 (24) :3339-3342
[3]   CONSTRUCTION OF THE K=8 FRACTIONAL SUPERCONFORMAL ALGEBRAS [J].
ARGYRES, PC ;
GROCHOCINSKI, JM ;
TYE, SHH .
NUCLEAR PHYSICS B, 1993, 391 (1-2) :409-459
[4]   STRUCTURE CONSTANTS OF THE FRACTIONAL SUPERSYMMETRY CHIRAL ALGEBRAS [J].
ARGYRES, PC ;
GROCHOCINSKI, JM ;
TYE, SHH .
NUCLEAR PHYSICS B, 1991, 367 (01) :217-254
[5]   VIRASORO ALGEBRAS WITH CENTRAL CHARGE C-GREATER-THAN-1 [J].
BAGGER, J ;
NEMESCHANSKY, D ;
YANKIELOWICZ, S .
PHYSICAL REVIEW LETTERS, 1988, 60 (05) :389-392
[6]   FRACTIONAL SUPERSYMMETRY AND MINIMAL COSET MODELS IN CONFORMAL FIELD-THEORY [J].
CHUNG, SW ;
LYMAN, E ;
TYE, SHH .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (14) :3339-3377
[7]   MODEL-BUILDING FOR FRACTIONAL SUPERSTRINGS [J].
DIENES, KR ;
TYE, SHH .
NUCLEAR PHYSICS B, 1992, 376 (02) :297-349
[8]   BRS COHOMOLOGY AND A FEIGIN-FUCHS REPRESENTATION OF KAC-MOODY AND PARAFERMIONIC THEORIES [J].
DISTLER, J ;
QIU, ZG .
NUCLEAR PHYSICS B, 1990, 336 (03) :533-546
[9]   MODULAR INVARIANT PARTITION-FUNCTIONS FOR PARAFERMIONIC FIELD-THEORIES [J].
GEPNER, D ;
QIU, ZG .
NUCLEAR PHYSICS B, 1987, 285 (03) :423-453
[10]   SUPERSYMMETRY, SUPERGRAVITY THEORIES AND DUAL SPINOR MODEL [J].
GLIOZZI, F ;
SCHERK, J ;
OLIVE, D .
NUCLEAR PHYSICS B, 1977, 122 (02) :253-290