Exploring T-Duality for Self-Dual Fields

Avatars 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 $T\overline{T}$-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.