Operator formalism and free field representation for minimal models on Riemann surfaces

M. Frau; A. Lerda; J. G. McCarthy; S. Sciuto

doi:10.1016/0550-3213(90)90640-Y

Operator formalism and free field representation for minimal models on Riemann surfaces

M. Frau, A. Lerda, J. G. McCarthy, S. Sciuto

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

Abstract

We show how the conformal blocks of minimal models of the Virasoro algebra can be computed on an arbitrary genus Riemann surface, as an application of the operator formalism for free field theory. In particular we present, with all normalizations manifest, the "BRST" property of the 3-point vertex which allows us to obtain explicit expressions for the blocks. The results are nicely arranged into geometric objects on the Riemann surface, as we demonstrate in several examples.

Original language	English
Pages (from-to)	415-441
Number of pages	27
Journal	Nuclear Physics B
Volume	338
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(90)90640-Y
Publication status	Published - 9 Jul 1990
Externally published	Yes

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10.1016/0550-3213(90)90640-Y

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title = "Operator formalism and free field representation for minimal models on Riemann surfaces",

abstract = "We show how the conformal blocks of minimal models of the Virasoro algebra can be computed on an arbitrary genus Riemann surface, as an application of the operator formalism for free field theory. In particular we present, with all normalizations manifest, the {"}BRST{"} property of the 3-point vertex which allows us to obtain explicit expressions for the blocks. The results are nicely arranged into geometric objects on the Riemann surface, as we demonstrate in several examples.",

author = "M. Frau and A. Lerda and McCarthy, {J. G.} and S. Sciuto",

note = "Funding Information: *Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069 . {"}Work partially supported by the National Science Foundation, under grant PHY-88-04561 .",

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AU - Lerda, A.

AU - McCarthy, J. G.

AU - Sciuto, S.

N1 - Funding Information: *Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069 . "Work partially supported by the National Science Foundation, under grant PHY-88-04561 .

PY - 1990/7/9

Y1 - 1990/7/9

N2 - We show how the conformal blocks of minimal models of the Virasoro algebra can be computed on an arbitrary genus Riemann surface, as an application of the operator formalism for free field theory. In particular we present, with all normalizations manifest, the "BRST" property of the 3-point vertex which allows us to obtain explicit expressions for the blocks. The results are nicely arranged into geometric objects on the Riemann surface, as we demonstrate in several examples.

AB - We show how the conformal blocks of minimal models of the Virasoro algebra can be computed on an arbitrary genus Riemann surface, as an application of the operator formalism for free field theory. In particular we present, with all normalizations manifest, the "BRST" property of the 3-point vertex which allows us to obtain explicit expressions for the blocks. The results are nicely arranged into geometric objects on the Riemann surface, as we demonstrate in several examples.

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U2 - 10.1016/0550-3213(90)90640-Y

DO - 10.1016/0550-3213(90)90640-Y

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SP - 415

EP - 441

JO - Nuclear Physics B

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Operator formalism and free field representation for minimal models on Riemann surfaces

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