REPRESENTATIONS OF THE VERTEX ALGEBRA W_1+∞ WITH A NEGATIVE INTEGER CENTRAL CHARGE

REFERENCES

• Borcherds , R. 1986 . Vertex Algebras, Kac-Moody Algebras, and the Monster . Proc. Nati. Acad. Sci. USA , 83 : 3068 – 3071 .
   PubMed Web of Science ®Google Scholar
• Dong , C. Y. and Lepowsky , J. 1993 . Generalized Vertex Algebras and Relative Vertex Operators Boston : Birkha¨user .
   Google Scholar
• Dong , C. Y. , Li , H. and Mason , G. 1997 . Certain Associative Algebras Similar to U(sl2) and Zhu's Algebra A(VL) . J. Algebra , 196 : 532 – 551 .
   Web of Science ®Google Scholar
• Eholzer , W. , Feher , L. and Honecker , A. 1998 . Ghost System: A Vertex Algebra Point of View . Nucl. Phys. , B 518 : 669 – 688 .
   Web of Science ®Google Scholar
• Frenkel , E. , Kac , V. , Radul , A. and Wang , W. 1995 . W 1+∞ and W(glN) with Central Charge, N . Comm. Math. Phys. , 170 : 337 – 357 .
   Web of Science ®Google Scholar
• Frenkel , I. , Lepowsky , J. and Meurman , A. 1988 . Vertex Operator Algebras and the Monster New York : Academic Press .
   Google Scholar
• Friedan , D. , Martinec , E. and Shenker , S. 1986 . Conformal Invariance, Super-symmetry and String Theory . Nucl. Phys. , B 271 : 93 – 165 .
   Web of Science ®Google Scholar
• Kac , V. 1998 . Vertex Algebras for Beginners , University Lecture Series, 2nd Edition Vol. 10 , AMS .
   Google Scholar
• Kac , V. and Radul , A. 1993 . Quasi-finite Highest Weight Modules Over the Lie Algebra of Differential Operators on the Circle . Comm. Math. Phys. , 157 : 429 – 457 .
   Web of Science ®Google Scholar
• Kac , V. and Radul , A. 1996 . Representation Theory of the Vertex Algebra W 1+∞ . Transform. Groups. , 1 : 41 – 70 .
   Google Scholar
• Kac , V. , Wang , W. and Yan , C. 1998 . Quasifinite Representations of Classical Lie Subalgebras of W 1+∞ . Adv. Math. , 39 : 56 – 140 .
   Web of Science ®Google Scholar
• Li , H. 1996 . Local Systems of Vertex Operators, Vertex Superalgebras and Modules . J. Pure Appl. Algebra , 109 : 143 – 195 .
   Web of Science ®Google Scholar
• Matsuo , Y. 1994 . Free Fields and Quasi-finite Representations of W 1+∞ . Phys. Lett. , 326 : 95 – 100 .
   Web of Science ®Google Scholar
• Primc , M. 1999 . Vertex Algebras Generated by Lie Algebras . J. Pure Appl. Algebra , 135 : 253 – 293 .
   Web of Science ®Google Scholar
• Wang , W. 1998 . W 1+∞ Algebra, W 3 Algebra, and Friedan-Martinec-Shenker bosonization . Comm. Math. Phys. , 195 : 95 – 111 .
   Web of Science ®Google Scholar
• Wang , W. 1998 . Classification of Irreducible Modules of W 3 Algebra with Central Charge −2 . Comm. Math. Phys. , 195 : 113 – 128 .
   Web of Science ®Google Scholar
• Wang , W. 1999 . Dual Pairs an Infinite Dimensional Lie Algebras . Contemp. Math. , 248 : 453 – 469 .
   Google Scholar
• Wang , W. 1999 . Duality in Infinite Dimensional Fock Representations . Commun. Contemp. Math. , 2 : 155 – 199 .
   Web of Science ®Google Scholar
• Xu , Xiaoping. 1998 . Introduction to Vertex Operator Superalgebras and their Modules, Mathematics and its Applications 456 Kluwer Academic Publishers .
   Google Scholar