S-duality and Canonical Transformations in String Theory

TL;DR

This paper explores the symmetries of string theory's effective action, focusing on S-duality, canonical transformations, and their implications, using Hamiltonian formalism and SL(2,R) invariance.

Contribution

It constructs an effective action with manifest SL(2,R) invariance and derives conserved charges and generators of transformations, highlighting new insights into string symmetries.

Findings

Derived conserved charges for string symmetries

Identified generators of infinitesimal transformations

Explored consequences of canonical transformations

Abstract

The symmetries of the tree level string effective action are discussed. An appropriate effective action is constructed starting from the manifestly SL(2,R) invarint form of string effective action introduced by Schwarz and Sen. The conserved charges are derived and generators of infinitesimal transformations are obtained in the Hamiltonian formalism. Some interesting consequences of the canonical transformations are explored.