Canonical Description of T-duality for Fundamental String and D1-Brane and Double Wick Rotation

TL;DR

This paper explores how T-duality transformations in the canonical formalism relate to double Wick rotations for fundamental strings and D1-branes, revealing connections between world-sheet and target space symmetries.

Contribution

It provides a canonical formalism analysis of T-duality and clarifies the relationship between double Wick rotations and T-dualities for strings and D1-branes.

Findings

T-duality transformations can be described in canonical formalism.

Double Wick rotation corresponds to a sequence of T-dualities and Wick rotations.

The study clarifies the geometric interpretation of these symmetries.

Abstract

We study T-duality transformations in canonical formalism for Nambu-Gotto action. Then we investigate the relation between world-sheet double Wick rotation and sequence of target space T-dualities and Wick rotation in case of fundamental string and D1-brane.