{ "id": "1507.00652", "version": "v1", "published": "2015-07-02T16:34:29.000Z", "updated": "2015-07-02T16:34:29.000Z", "title": "T-duality and $α'$-corrections", "authors": [ "Diego Marques", "Carmen A. Nunez" ], "comment": "35 pages", "categories": [ "hep-th" ], "abstract": "We construct an $O(d,d)$ invariant universal formulation of the first-order $\\alpha'$-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.", "revisions": [ { "version": "v1", "updated": "2015-07-02T16:34:29.000Z" } ], "analyses": { "keywords": [ "corrections", "duality covariant gauge principle", "two-form field", "free parameters interpolate", "four-derivative terms" ], "publication": { "doi": "10.1007/JHEP10(2015)084", "journal": "Journal of High Energy Physics", "year": 2015, "month": "Oct", "volume": 2015, "pages": 84 }, "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015JHEP...10..084M", "inspire": 1380933 } } }