TY - JOUR

T1 - The algebraic structure of relative twisted vertex operators

AU - Dong, Chongying

AU - Lepowsky, James

N1 - Funding Information:
During thec ourseo f this work, mucho f whichw asd onem anyy earsa go,C .D. was partially supportedb y a postdoctoralf ellowshipa t RutgersU niversity,a Regents’ Junior Faculty Fellowshipf rom the University of California,f aculty researchf unds grantedb y the University of California at Santa Cruz, NSA grant MDA904-92-H-3099a nd NSF grantD MS-9303374a; nd J.L. by a GuggenheimF oundation Fellowship, the Rutgers University Faculty AcademicS tudy Program and NSF grants DMS-8603151a nd DMS-9111945s; eea lso the acknowledgemenitns the announcement [19], the full proofs of whosem ain resultso n relationsa mongt wistedv ertex operatorsa re finally suppliedi n the presentp aper.

PY - 1996/8/12

Y1 - 1996/8/12

N2 - Twisted vertex operators based on rational lattices have had many applications in vertex operator algebra theory and conformal field theory. In this paper, "relativized" twisted vertex operators are constructed in a general context based on isometries of rational lattices, and a generalized twisted Jacobi identity is established for them. This result generalizes many previous results. Relatived untwisted vertex operators had been studied in a monograph by the authors. The present paper includes as a special case the proof of the main relations among twisted vertex operators based on even lattices announced some time ago by the second author.

AB - Twisted vertex operators based on rational lattices have had many applications in vertex operator algebra theory and conformal field theory. In this paper, "relativized" twisted vertex operators are constructed in a general context based on isometries of rational lattices, and a generalized twisted Jacobi identity is established for them. This result generalizes many previous results. Relatived untwisted vertex operators had been studied in a monograph by the authors. The present paper includes as a special case the proof of the main relations among twisted vertex operators based on even lattices announced some time ago by the second author.

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U2 - 10.1016/0022-4049(95)00095-X

DO - 10.1016/0022-4049(95)00095-X

M3 - Article

AN - SCOPUS:0030581256

VL - 110

SP - 259

EP - 295

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 3

ER -