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arXiv 1507.00652hep-th
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T-对偶与$α'$ -修正

T-duality and $α'$-corrections

Diego Marques, Carmen A. Nunez

摘要:

我们构造了一个包含介子场、度规场和二型场的弦有效作用量的一阶$α'$ -修正的$O(d,d)$不变普适公式。两个自由参数插入四阶导数项之间,这些导数项相对于改变两种形式场的符号的$Z_2$奇偶变换是偶数和奇数。$Z_2$ -对称模型再现了闭玻色弦,通过$Z_2$ -宇称破缺选择参数得到了杂化弦的有效作用量.该理论是双场论的广义框架公式的推广,其中规范变换被一阶广义格林-施瓦茨变换变形。这种变形定义了一个对偶协变规范原理,它需要并固定了四阶导数项。我们讨论的$O(d,d)$结构的理论和(非)所需的字段重新定义的协方差。

英文摘要:

We construct an $O(d,d)$ invariant universal formulation of the first-order $α'$-corrections of the string effective actions involving the dilaton, metric and two-form fields. Two free parameters interpolate between four-derivative terms that are even and odd with respect to a $Z_2$-parity transformation that changes the sign of the two-form field. The $Z_2$-symmetric model reproduces the closed bosonic string, and the heterotic string effective action is obtained through a $Z_2$-parity-breaking choice of parameters. The theory is an extension of the generalized frame formulation of Double Field Theory, in which the gauge transformations are deformed by a first-order generalized Green-Schwarz transformation. This deformation defines a duality covariant gauge principle that requires and fixes the four-derivative terms. We discuss the $O(d,d)$ structure of the theory and the (non-)covariance of the required field redefinitions.

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