Minimal models on Riemann surfaces

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

doi:10.1016/0370-2693(89)90660-6

Minimal models on Riemann surfaces

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

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

Abstract

We extend the Coulomb gas representation of minimal model correlation functions to higher genius Riemann surfaces. Specifically, we incorporate the "BRS" structure of this representation into the operator formalism. This allows traces over the spectrum of a minimal model to be computed from traces over Fock spaces of a free scalar field. This our results are obtained by standard sewing techniques. The formulation is general, but we present here in particular the two-loop characters of the Ising model.

Original language	English
Pages (from-to)	205-213
Number of pages	9
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	228
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(89)90660-6
Publication status	Published - 14 Sept 1989
Externally published	Yes

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10.1016/0370-2693(89)90660-6

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title = "Minimal models on Riemann surfaces",

abstract = "We extend the Coulomb gas representation of minimal model correlation functions to higher genius Riemann surfaces. Specifically, we incorporate the {"}BRS{"} structure of this representation into the operator formalism. This allows traces over the spectrum of a minimal model to be computed from traces over Fock spaces of a free scalar field. This our results are obtained by standard sewing techniques. The formulation is general, but we present here in particular the two-loop characters of the Ising model.",

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

note = "Funding Information: 2 Work partially supported by the National Science Foundation, under grant PHY-88-04561. Funding Information: 3 Work partially supported by the Italian Ministero della Pubblica Istruzione. Funding Information: Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069.",

year = "1989",

month = sep,

day = "14",

doi = "10.1016/0370-2693(89)90660-6",

language = "English",

volume = "228",

pages = "205--213",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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T1 - Minimal models on Riemann surfaces

AU - Frau, M.

AU - Lerda, A.

AU - McCarthy, J. G.

AU - Sciuto, S.

N1 - Funding Information: 2 Work partially supported by the National Science Foundation, under grant PHY-88-04561. Funding Information: 3 Work partially supported by the Italian Ministero della Pubblica Istruzione. Funding Information: Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069.

PY - 1989/9/14

Y1 - 1989/9/14

N2 - We extend the Coulomb gas representation of minimal model correlation functions to higher genius Riemann surfaces. Specifically, we incorporate the "BRS" structure of this representation into the operator formalism. This allows traces over the spectrum of a minimal model to be computed from traces over Fock spaces of a free scalar field. This our results are obtained by standard sewing techniques. The formulation is general, but we present here in particular the two-loop characters of the Ising model.

AB - We extend the Coulomb gas representation of minimal model correlation functions to higher genius Riemann surfaces. Specifically, we incorporate the "BRS" structure of this representation into the operator formalism. This allows traces over the spectrum of a minimal model to be computed from traces over Fock spaces of a free scalar field. This our results are obtained by standard sewing techniques. The formulation is general, but we present here in particular the two-loop characters of the Ising model.

UR - https://www.scopus.com/pages/publications/0008961871

U2 - 10.1016/0370-2693(89)90660-6

DO - 10.1016/0370-2693(89)90660-6

M3 - Article

SN - 0370-2693

VL - 228

SP - 205

EP - 213

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2

ER -

Minimal models on Riemann surfaces

Abstract

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