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Green-Schwarz Mechanism for String Dualities | | Camille Eloy
; Olaf Hohm
; Henning Samtleben
; | | Date: |
3 Dec 2019 | | Abstract: | We determine the complete spacetime action to first order in $alpha’$ for
the massless fields of bosonic string theory compactified on a $d$-dimensional
torus. A fully systematic procedure is developed that brings the action into a
minimal form in which all fields apart from the metric enter only with
first-order derivatives. T-duality implies that this action must have a global
$mathrm{O}(d,d,mathbb{R})$ symmetry, and we show that this requires a
Green-Schwarz type mechanism for $alpha’$-deformed
$mathrm{O}(d,d,mathbb{R})$ transformations. In terms of a frame formalism
with ${
m GL}(d) imes {
m GL}(d)$ gauge symmetry this amounts to a
modification of the three-form curvature by a Chern-Simons term for composite
gauge fields. | | Source: | arXiv, 1912.1700 | | Services: | Forum | Review | PDF | Favorites | |
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