Two-form gauge theory dual to scalar-tensor theory
Two-form gauge theory dual to scalar-tensor theory
复制标题
与标量张量理论对偶的两种形式规范理论
DOI：
10.1103/physrevd.100.084047
复制
发表时间：
2019
影响因子：
5
通讯作者：
Yoshida Daisuke
中科院分区：
文献类型：
--
作者：
Quintin Jerome;Yoshida Daisuke;Yoshida Daisuke
我们将四维时空中无质量自由标量场和两种形式规范场之间的电磁对偶推广到标量张量理论。我们推导了双形式规范场对偶对两种标量张量理论的作用：位移对称本质理论和位移对称Horndeski理论直到二次元。前一种情况，对偶二型，有一个非线性动力学项。后一种情况，对偶二型，通过爱因斯坦张量与重力有非平凡的相互作用。在这两种情况下，对偶关系都是对通常情况的修正，即对偶二型场不是简单地由标量场梯度的Hodge对偶给出的。
We generalize the electromagnetic duality between a massless free scalar field and a two-form gauge field in a four-dimensional spacetime to scalar-tensor theories. We derive the action of a two-form gauge field that is dual to two kinds of scalar-tensor theories: the shift symmetric-essence theory and the shift symmetric Horndeski theory up to quadratic in a scalar field. The former case, the dual two-form, has a nonlinear kinetic term. The latter case, the dual two-form, has nontrivial interactions with gravity through the Einstein tensor. In both cases, the duality relation is modified from the usual case, that is, the dual two-form field is not simply given by the Hodge dual of the gradient of the scalar field.