Exploring T‐Duality for Self‐Dual Fields

Abstract

AbstractAvatars of T‐duality within Sen's formalism for self‐dual field strengths in various dimensions are studied. This formalism is shown to naturally accommodate the T‐duality relation between Type IIA/IIB theories when compactified on a circle without the need for imposing the self‐duality constraint by hand, as is usually done. The study of this formalism is continued on two‐dimensional target spacetimes and its study as a worldsheet theory is initiated. In particular, it is shown that Sen's action provides a natural worldsheet‐based understanding of twisted and asymmetrically twisted strings. Finally, it is shown that the ‐deformed theory of left‐ and right‐chiral bosons described in Sen's formalism possesses a scaling limit that is related via field‐theoretic T‐duality to a recently studied integrable deformation of quantum mechanics.