A non-standard off-shell quantization of the worldsheet metric yields a self-consistent vacuum configuration and Hagedorn temperatures for confining holographic theories, reproducing known next-to-leading order and providing new partial next-to-next-to-leading order predictions.
The type II superstring to order theta^4
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abstract
The Green-Schwarz superstring action in a general type IIA or IIB supergravity background is derived up to fourth order in the Grassmann-odd coordinates theta. This is done by solving the superspace Bianchi identities order by order in theta, to quadratic order for all superfields and to quartic order for the supervielbeins. For a large class of backgrounds it is possible to fix the kappa symmetry in such a way that the action actually terminates at the quartic order in theta.
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Vacuum configuration of winding superstrings from non-standard semiclassical quantization
A non-standard off-shell quantization of the worldsheet metric yields a self-consistent vacuum configuration and Hagedorn temperatures for confining holographic theories, reproducing known next-to-leading order and providing new partial next-to-next-to-leading order predictions.