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Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras

This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes… Expand

An algebraic geometry study of theb−c system with arbitrary twist fields and arbitrary statistics

- A. Raina
- Mathematics
- 1 September 1991

We present an analysis of the generalb−c system (including the β−γ system) on a compact Riemann surface of arbitrary genusg≧0 by postulating that its correlation functions should only have the… Expand

The gauge transformations of the Schwinger model

- A. Raina, G. Wanders
- Physics
- 1 April 1981

Abstract We determine the group of implementable local gauge transformations of massless quantum electrodynamics in two space-time dimensions in the covariant Landau gauge. It splits into an infinite… Expand

Fay's trisecant identity and conformal field theory

- A. Raina
- Mathematics
- 1 December 1989

We study the correlation functions of a system of free chiral fermions on a compact Riemann surface using techniques of algebraic geometry. Fay's trisecant identity arises as a consequence of the… Expand

LEVEL REARRANGEMENT IN EXOTIC ATOMS AND QUANTUM DOTS

- M. Combescure, A. Khare, A. Raina, J. Richard, C. Weydert
- Physics
- 30 December 2006

A presentation and a generalization are given of the phenomenon of level rearrangement. This occurs when an attractive long-range potential is perturbed by a short-range attractive potential as its… Expand

Grassmannians, multiplicative ward identities and theta-function identities

Abstract The symmetry group Div0(Σ) on a Riemann surface is used to derive multiplicative Ward identities. These are used to determine the propagator for a spin-J system and to derive Fay's trisecant… Expand

Projective structures on a Riemann surface

For a compact Riemann surface $X$ of any genus $g$, let $L$denote the line bundle $K_{X\times X}\otimes {\cal O}_{X\times X}(2\Delta)$ on $X\times X$, where $K_{X\times X}$ is the canonical bundle of… Expand

3 0 D ec 2 00 6 Level rearrangement in exotic atoms and quantum dots

Monique Combescure, Avinash Khare, Ashok Raina, Jean-Marc Richard, 5 and Carole Weydert Institut de Physique Nucláire de Lyon, CNRS-IN2P3 and Université Claude Bernard, 4, rue Enrico Fermi, 69622… Expand

Scaling of High-Energy Elastic Differential Cross-Sections and Unitarity

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