T-duality and \(\alpha'\)-corrections

DOI10.1007/JHEP10(2015)084zbMATH Open1388.81348arXiv1507.00652MaRDI QIDQ2635975

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Publication date: 31 May 2018

Published in: (Search for Journal in Brave)

Abstract: We construct an

O (d, d)

invariant universal formulation of the first-order

a l p h a^{'}

-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.

Full work available at URL: https://arxiv.org/abs/1507.00652

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