A Global Operator Formalism on Higher Genus Riemann Surfaces: b-c Systems - INSPIRE

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A Global Operator Formalism on Higher Genus Riemann Surfaces: b-c Systems

Loriano Bonora
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Adrian Lugo
(
- SISSA, Trieste
)
,
Marco Matone
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Jorge Russo
(
- SISSA, Trieste
)

May, 1988

46 pages

Published in:

Commun.Math.Phys. 123 (1989) 329

DOI:

10.1007/BF01238861

Report number:

SISSA-67-88-EP

View in:

KEK scanned document

reference search118 citations

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Abstract: (Springer)

We explicitly construct bases for meromorphicλ-differentials over genusg Riemann surfaces. With the help of these bases we introduce a new operator formalism over Riemann surfaces which closely resembles the operator formalism on the sphere. As an application we calculate the propagators forb-c systems with arbitrary integer or half-integerλ (in the Ramond and Neveu-Schwarz sectors). We also give explicit expressions for the zero modes and for the Teichmüller deformations for a generic Riemann surface.

FIELD THEORY: CONFORMAL
FIELD THEORY: COMMUTATION RELATIONS
ALGEBRA: KIRCHEVER-NOVIKOV
FIELD THEORY: VACUUM STATE
FIELD THEORY: ZERO MODE
FIELD THEORY: PATH INTEGRAL
MATHEMATICAL METHODS: INDEX THEOREM
MATHEMATICAL METHODS: Riemann surface

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Figures(0)

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