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arXiv · 2110.14481

The Duality Symmetric String at Two-loops

Neil B. Copland·Giacomo Piccinini·Daniel C. Thompson
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Abstract

The Tseytlin duality symmetric string makes manifest the $O(n,n)$ T-duality symmetry on the worldsheet at the expense of manifest Lorentz invariance. Here we consider the two-loop renormalisation of this model in the context of "cosmological" spacetimes consisting of an internal $n$-dimensional torus fibred over a one-dimensional base manifold. The lack of manifest Lorentz symmetry introduces a range of complexities in momenta loop integrals which we approach using different methods. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with $O(n,n)$ symmetry and obstruct the renormalisability of the duality symmetric string.

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Neil B. Copland, Giacomo Piccinini, Daniel C. Thompson. 2021-10-27. The Duality Symmetric String at Two-loops. https://arxiv.org/abs/2110.14481

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