A BOSONIC OPERATOR REALIZATION OF THE KRICHEVER CONSTRUCTION AND bc SYSTEMS ON RIEMANN SURFACES

We propose an explicit operator construction for the algebro-geometric τ-function in terms of a bosonic conformal field theory on Riemann surfaces. As a consequence, the operator Bosonization formulae for fermionic bc systems on Riemann surfaces are deduced.

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SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM

International Journal of Modern Physics A ◽

10.1142/s0217751x01003937 ◽

2001 ◽

Vol 16 (05) ◽

pp. 822-855 ◽

Cited By ~ 580

Author(s):

JUAN MALDACENA ◽

CARLOS NUÑEZ

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Riemann Surface ◽

Riemann Surfaces ◽

Field Theories ◽

De Sitter ◽

Curved Manifolds ◽

Conformal Field ◽

Low Energies ◽

M Theory

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside K3 or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to AdS5. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

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CONFORMAL FIELD THEORY ON Zk-SURFACES WITH EXCHANGE INTERACTIONS

Modern Physics Letters A ◽

10.1142/s0217732398003041 ◽

1998 ◽

Vol 13 (35) ◽

pp. 2863-2871 ◽

Cited By ~ 8

Author(s):

VINCENZO MAROTTA ◽

ANTONINO SCIARRINO

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Riemann Surfaces ◽

Exchange Interactions ◽

Field Theories ◽

Conformal Field Theories ◽

Conformal Field

We consider a class of conformal field theories on Riemann surfaces represented as a Zk invariant covering of the sphere. The introduction of exchange interactions among couples of sheets generate effective parafermions. The outgoing theory can be seen as a fractional supersymmetry conformal field theory.

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AN EXPLICIT COMPUTATION FOR THE BOSE-FERMI EQUIVALENCE ON RIEMANN SURFACES OF GENUS g

International Journal of Modern Physics A ◽

10.1142/s0217751x89001850 ◽

1989 ◽

Vol 04 (17) ◽

pp. 4437-4447

Author(s):

NOUREDDINE CHAIR

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Riemann Surface ◽

Partition Function ◽

Quadratic Form ◽

Riemann Surfaces ◽

Partition Functions ◽

Explicit Computation ◽

Dimensional Torus ◽

Conformal Field

The instanton sum in the partition function for D bosons on a Riemann surface of genus g, with values in a general D-dimensional torus, TD = RD/ΛD is given explicitly. When the rational metric Q of the lattice, ΛD, is the identity we get the bosonization formula of Alvarez-Gaumé et al. for SO( 2D ). If Q is orthogonal, in the bosonization formula, we get the theta function associated with the quadratic form Q, if Q is generic we get rational Conformal Field Theory. Also we look for conditions on a twisted spin bundle LE, which may ensure that our partition functions arise from some generalized bosonization formulas.

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