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 ‐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.

中文翻译：

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探索自对偶场的 T 对偶性

研究了 Sen 各种维度自对偶场强形式主义中 T 对偶性的化身。当被压缩在一个圆上时，这种形式主义被证明可以自然地适应 IIA/IIB 型理论之间的 T 对偶关系，而不需要像通常那样手动施加自对偶约束。这种形式主义的研究在二维目标时空上继续进行，并开始将其作为世界表理论进行研究。特别是，事实证明，森的行为提供了基于自然世界表的对扭曲和不对称扭曲弦的理解。最后，结果表明，森形式主义中描述的左手性和右手性玻色子的变形理论具有标度极限，该极限通过场论 T 对偶性与最近研究的量子力学的可积变形相关。