Casimirs of the Virasoro algebra

Fortin, Jean-François; Quintavalle, Lorenzo; Skiba, Witold

doi:10.1016/j.physletb.2024.139080

Title: Casimirs of the Virasoro algebra

Journal Article · 01 November 2024 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2024.139080 · OSTI ID:2475247

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0017660

OSTI ID:: 2475247

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: C Vol. 858; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (21)

Representation Theory of the Virasoro Algebra Iohara, Kenji; Koga, Yoshiyuki Springer Monographs in Mathematics https://doi.org/10.1007/978-0-85729-160-8	book	January 2011
Conformal Field Theory Di Francesco, Philippe; Mathieu, Pierre; Sénéchal, David Graduate Texts in Contemporary Physics https://doi.org/10.1007/978-1-4612-2256-9	book	January 1997
On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra Shapovalov, N. N. Functional Analysis and Its Applications, Vol. 6, Issue 4 https://doi.org/10.1007/BF01077650	journal	January 1973
Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra Feigin, B. L.; Fuks, D. B. Functional Analysis and Its Applications, Vol. 16, Issue 2 https://doi.org/10.1007/BF01081626	journal	January 1982
Virasoro singular vectors Millionshchikov, D. V. Functional Analysis and Its Applications, Vol. 50, Issue 3 https://doi.org/10.1007/s10688-016-0149-9	journal	July 2016
Gauge symmetries of the free bosonic string field theory Neveu, A.; Schwarz, J.; West, P. C. Physics Letters B, Vol. 164, Issue 1-3 https://doi.org/10.1016/0370-2693(85)90029-2	journal	December 1985
Gauge symmetries of the free supersymmetric string field theories Neveu, A.; West, P. C. Physics Letters B, Vol. 165, Issue 1-3 https://doi.org/10.1016/0370-2693(85)90691-4	journal	December 1985
Comments on covariant formulations of string theories Thorn, Charles B. Physics Letters B, Vol. 159, Issue 2-3 https://doi.org/10.1016/0370-2693(85)90866-4	journal	September 1985
Locality in the gauge-covariant field theory of strings Kaku, Michio Physics Letters B, Vol. 162, Issue 1-3 https://doi.org/10.1016/0370-2693(85)91068-8	journal	November 1985
The gauge-covariant formulation of interacting strings and superstrings Awada, M. A. Physics Letters B, Vol. 172, Issue 1 https://doi.org/10.1016/0370-2693(86)90211-X	journal	May 1986
BRS cohomology and Casimir operators Neuberger, Herbert Physics Letters B, Vol. 188, Issue 2 https://doi.org/10.1016/0370-2693(87)90009-8	journal	April 1987
Degenerate conformal field theories and explicit expressions for some null vectors Benoit, Louis; Saint-Aubin, Yvan Physics Letters B, Vol. 215, Issue 3 https://doi.org/10.1016/0370-2693(88)91352-4	journal	December 1988
Singular vectors of the Virasoro algebra Kent, Adrian Physics Letters B, Vol. 273, Issue 1-2 https://doi.org/10.1016/0370-2693(91)90553-3	journal	December 1991
Eliminating spurious states from the dual resonance model Brower, R. C.; Thorn, C. B. Nuclear Physics B, Vol. 31, Issue 1 https://doi.org/10.1016/0550-3213(71)90452-4	journal	August 1971
Infinite conformal symmetry in two-dimensional quantum field theory Belavin, A. A.; Polyakov, A. M.; Zamolodchikov, A. B. Nuclear Physics B, Vol. 241, Issue 2 https://doi.org/10.1016/0550-3213(84)90052-X	journal	July 1984
Gauge string fields Siegel, Warren; Zwiebach, Barton Nuclear Physics B, Vol. 263, Issue 1 https://doi.org/10.1016/0550-3213(86)90030-1	journal	January 1986
Gauge field theory of covariant strings Kaku, Michio Nuclear Physics B, Vol. 267, Issue 1 https://doi.org/10.1016/0550-3213(86)90147-1	journal	March 1986
Gauge invariance of string fields Banks, Thomas; Peskin, Michael E. Nuclear Physics B, Vol. 264 https://doi.org/10.1016/0550-3213(86)90496-7	journal	January 1986
Covariant differential equations and singular vectors in virasoro representations Bauer, M.; Di Francesco, Ph.; Itzykson, C. Nuclear Physics B, Vol. 362, Issue 3 https://doi.org/10.1016/0550-3213(91)90541-5	journal	September 1991
String field theory Friedan, D. Nuclear Physics B, Vol. 271, Issue 3-4 https://doi.org/10.1016/S0550-3213(86)80025-6	journal	January 1986
String Field Theory Kaku, Michio International Journal of Modern Physics A, Vol. 02, Issue 01 https://doi.org/10.1142/S0217751X87000028	journal	February 1987

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