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arXiv · 1906.02462

2-form gauge theory dual to scalar-tensor theory

Daisuke Yoshida
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Abstract

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of scalar-tensor theories: shift symmetric K-essence theory and the shift symmetric Horndeski theory up to quadratic in scalar field. The former case, the dual 2-form has a nonlinear kinetic term. The latter case, the dual 2-form has non-trivial interactions with gravity through Einstein tensor. In both case, the duality relation is modified from usual case, that is, the dual 2-form field is not simply given by the Hodge dual of the gradient of the scalar field.

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Daisuke Yoshida. 2019-06-06. 2-form gauge theory dual to scalar-tensor theory. https://doi.org/10.1103/physrevd.100.084047

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