N-point g-loop vertex for a free bosonic theory with vacuum charge Q

P. Di Vecchia; F. Pezzella; M. Frau; K. Hornfeck; A. Lerda; S. Sciuto

doi:10.1016/0550-3213(89)90419-7

N-point g-loop vertex for a free bosonic theory with vacuum charge Q

P. Di Vecchia, F. Pezzella, M. Frau, K. Hornfeck, A. Lerda, S. Sciuto

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

Abstract

Starting fron the N-point vertex on the sphere and using the sewing procedure we construct the N-point g-loop vertex for a free bosonic theory with vacuum charge Q. We then show that, when this vertex is saturated with N highest weight states, it gives their correlation function on an arbitrary Riemann surface of genus g. We also extend our formalism to the case of a free scalar field compactified on a circle, which is related to the Coulomb gas description of minimal models.

Original language	English
Pages (from-to)	317-372
Number of pages	56
Journal	Nuclear Physics B
Volume	322
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(89)90419-7
Publication status	Published - 14 Aug 1989
Externally published	Yes

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10.1016/0550-3213(89)90419-7

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title = "N-point g-loop vertex for a free bosonic theory with vacuum charge Q",

abstract = "Starting fron the N-point vertex on the sphere and using the sewing procedure we construct the N-point g-loop vertex for a free bosonic theory with vacuum charge Q. We then show that, when this vertex is saturated with N highest weight states, it gives their correlation function on an arbitrary Riemann surface of genus g. We also extend our formalism to the case of a free scalar field compactified on a circle, which is related to the Coulomb gas description of minimal models.",

author = "\{Di Vecchia\}, P. and F. Pezzella and M. Frau and K. Hornfeck and A. Lerda and S. Sciuto",

note = "Funding Information: 1 INFN Fellow, Sezione di Napoli, Italy. : Work partially supported by the US Department of Energy, under grant DE-AC02-76R03069. ) Work partially supported by the Italian Ministero della Pubblica Istruzione.",

year = "1989",

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doi = "10.1016/0550-3213(89)90419-7",

language = "English",

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T1 - N-point g-loop vertex for a free bosonic theory with vacuum charge Q

AU - Di Vecchia, P.

AU - Pezzella, F.

AU - Frau, M.

AU - Hornfeck, K.

AU - Lerda, A.

AU - Sciuto, S.

N1 - Funding Information: 1 INFN Fellow, Sezione di Napoli, Italy. : Work partially supported by the US Department of Energy, under grant DE-AC02-76R03069. ) Work partially supported by the Italian Ministero della Pubblica Istruzione.

PY - 1989/8/14

Y1 - 1989/8/14

N2 - Starting fron the N-point vertex on the sphere and using the sewing procedure we construct the N-point g-loop vertex for a free bosonic theory with vacuum charge Q. We then show that, when this vertex is saturated with N highest weight states, it gives their correlation function on an arbitrary Riemann surface of genus g. We also extend our formalism to the case of a free scalar field compactified on a circle, which is related to the Coulomb gas description of minimal models.

AB - Starting fron the N-point vertex on the sphere and using the sewing procedure we construct the N-point g-loop vertex for a free bosonic theory with vacuum charge Q. We then show that, when this vertex is saturated with N highest weight states, it gives their correlation function on an arbitrary Riemann surface of genus g. We also extend our formalism to the case of a free scalar field compactified on a circle, which is related to the Coulomb gas description of minimal models.

UR - https://www.scopus.com/pages/publications/0000826485

U2 - 10.1016/0550-3213(89)90419-7

DO - 10.1016/0550-3213(89)90419-7

M3 - Article

SN - 0550-3213

VL - 322

SP - 317

EP - 372

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2

ER -

N-point g-loop vertex for a free bosonic theory with vacuum charge Q

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