sigma08-049. 261KB Jun 04 2011 12:10:16 AM
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In the standard quantum field theory approach, the gauge invariance group of the Abelian Chern–Simons theory is given by the set of local U (1) gauge transformations and the
We consider integrable modules L µ with the highest weight µ for affine Lie algebra g and are especially interested in the properties of the string functions related to L µ..
Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces
Our starting point is dynamics which is represented by classical equations of motion and its relation to an affine connection on a underlying configuration space M.. This connection
We give an example of the construction for some simple differential operators, and outline the use of the global relation in solving the classical problem associated with
Using the auto-B¨ acklund transformations of the continuous Painlev´e equations we derive their contiguity relations which are just the quantum forms for the discrete P I , P II , P
The nine-dimensional bound is sharp: normal forms for the contact-equivalence classes of these maximally symmetric generic hyperbolic equations are derived and explicit
In this paper we study the sl (2)-trivial deformations of the space of symbols of differential operators which is a Vect Pol ( R )-module, so we begin by studying some properties of
