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The ring of physical states in the M(2, 3) minimal Liouville gravity. / Alekseev, O. V.; Bershtein, M. A.

In: Theoretical and Mathematical Physics, Vol. 164, No. 1, 11.08.2010, p. 929-946.

Research output: Contribution to journal › Article › peer-review

Harvard

Alekseev, OV & Bershtein, MA 2010, 'The ring of physical states in the M(2, 3) minimal Liouville gravity', Theoretical and Mathematical Physics, vol. 164, no. 1, pp. 929-946. https://doi.org/10.1007/s11232-010-0074-7

APA

Alekseev, O. V., & Bershtein, M. A. (2010). The ring of physical states in the M(2, 3) minimal Liouville gravity. Theoretical and Mathematical Physics, 164(1), 929-946. https://doi.org/10.1007/s11232-010-0074-7

Vancouver

Alekseev OV, Bershtein MA. The ring of physical states in the M(2, 3) minimal Liouville gravity. Theoretical and Mathematical Physics. 2010 Aug 11;164(1):929-946. https://doi.org/10.1007/s11232-010-0074-7

Author

Alekseev, O. V. ; Bershtein, M. A. / The ring of physical states in the M(2, 3) minimal Liouville gravity. In: Theoretical and Mathematical Physics. 2010 ; Vol. 164, No. 1. pp. 929-946.

BibTeX

@article{38f74b03536247ac8cb918cf8bfe0e79,
title = "The ring of physical states in the M(2, 3) minimal Liouville gravity",
abstract = "We consider the M(2, 3) minimal Liouville gravity, whose state space in the gravity sector is realized as irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We find a certain algebra acting on the BRST cohomology space and use this algebra to find the operator algebra of physical states.",
keywords = "BRST cohomology, Conformal field theory, Liouville gravity",
author = "Alekseev, {O. V.} and Bershtein, {M. A.}",
year = "2010",
month = aug,
day = "11",
doi = "10.1007/s11232-010-0074-7",
language = "English",
volume = "164",
pages = "929--946",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - The ring of physical states in the M(2, 3) minimal Liouville gravity

AU - Alekseev, O. V.

AU - Bershtein, M. A.

PY - 2010/8/11

Y1 - 2010/8/11

N2 - We consider the M(2, 3) minimal Liouville gravity, whose state space in the gravity sector is realized as irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We find a certain algebra acting on the BRST cohomology space and use this algebra to find the operator algebra of physical states.

AB - We consider the M(2, 3) minimal Liouville gravity, whose state space in the gravity sector is realized as irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We find a certain algebra acting on the BRST cohomology space and use this algebra to find the operator algebra of physical states.

KW - BRST cohomology

KW - Conformal field theory

KW - Liouville gravity

UR - http://www.scopus.com/inward/record.url?scp=77955283820&partnerID=8YFLogxK

U2 - 10.1007/s11232-010-0074-7

DO - 10.1007/s11232-010-0074-7

M3 - Article

AN - SCOPUS:77955283820

VL - 164

SP - 929

EP - 946

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 36352079