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Enhanced gauge symmetry and winding modes in Double Field Theory

Abstract : We provide an explicit example of how the string winding modes can be incorporated in double field theory. Our guiding case is the closed bosonic string compactified on a circle of radius close to the self-dual point, where some modes with non-zero winding or discrete momentum number become massless and enhance the $U(1) \times U(1)$ symmetry to $SU(2) \times SU(2)$. We compute three-point string scattering amplitudes of massless and slightly massive states, and extract the corresponding effective low energy gauge field theory. The enhanced gauge symmetry at the self-dual point and the Higgs-like mechanism arising when changing the compactification radius are examined in detail. The extra massless fields associated to the enhancement are incorporated into a generalized frame with $\frac{O(d+3,d+3)}{O(d+3)\times O(d+3)}$ structure, where $d$ is the number of non-compact dimensions. We devise a consistent double field theory action that reproduces the low energy string effective action with enhanced gauge symmetry. The construction requires a truly non-geometric frame which explicitly depends on both the compact coordinate along the circle and its dual.
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Submitted on : Wednesday, March 30, 2016 - 2:37:29 PM
Last modification on : Friday, August 5, 2022 - 10:29:50 AM
Long-term archiving on: : Monday, November 14, 2016 - 9:08:17 AM


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G. Aldazabal, M. Graña, S. Iguri, M. Mayo, C. Nuñez, et al.. Enhanced gauge symmetry and winding modes in Double Field Theory. Journal of High Energy Physics, 2016, ⟨10.1007/JHEP03(2016)093⟩. ⟨cea-01295157⟩



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