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Excited-state energies and supersymmetric indices
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abstract
We study multi-soliton states in two-dimensional N=2 supersymmetric theories. We calculate their energy exactly as a function of mass and volume in the simplest integrable N=2 theory, the sine-Gordon model at a particular coupling. These energies are related to the expectation value $I= tr [\exp(in\pi F) \exp(-H/T)]$, where F is the fermion number. For n=1, this is Witten's index; for n an odd integer, we argue that $I$ is an index in the sense that it is independent of all D-term variations.
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Cited by 1 Pith paper
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Deriving the $\text{AdS}_3\times\text{S}^3\times \text{T}^4$ Quantum Spectral Curve I: Y-system and discontinuity relations
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