TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT

Details TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT

2011-08-24

arxiv.org/abs/1108.4914v3

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 2 figures, v2: references added, v3: minor corrections

Scientific paper

The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) L\"uscher-type corrections for large volumes of the vacuum energy for integrable theories with twisted boundary conditions and twisted S-matrix. We then derive the twisted thermodynamic Bethe ansatz (TBA) equations to describe exactly the ground state, from which we obtain an untwisted Y-system. The two approaches are compared by expanding the TBA equations to NLO, and exact agreement is found. We give explicit results for the O(4) model and for the three-parameter family of $\gamma$-deformed (non-supersymmetric) planar AdS/CFT model, where the ground-state energy can be nontrivial and can acquire finite-size corrections. The NLO corrections, which correspond to double-wrapping diagrams, are explicitly evaluated for the latter model at six loops.

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