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Further aspects of Supersymmetric Virasoro Minimal Strings

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arxiv 2506.19000 v2 pith:222OMOGV submitted 2025-06-23 hep-th

classification hep-th
keywords matrixmodelboundaryfurtherminimalmodelsnotedseveral
verification ladder T0 review T1 audit T2 compute T3 formal
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A supersymmetric version of the Virasoro minimal string was defined some time ago using random matrix model techniques. Several of the special properties of the matrix model that were noted (accessible fully non-perturbatively) underlie features shared by both 0A and 0B versions of the theory. This paper develops the formalism much further, including showing how the 0A and 0B choices familiar in continuum approaches have a direct analogue in terms of building solutions of the appropriate string equations. This also illuminates several key differences between the 0A and 0B models at the level of matrix model loop observables. The natural all-orders vanishing of loops, already observed in some 0A models, translates into the same for 0B. It is also noted that the leading amplitude for a single asymptotic boundary, as well as the trumpet partition function, are characters of a 2D superconformal field theory living on the boundary of a solid torus, suggesting a 3D chiral supergravity dual. Non-perturbative results are computed as well.

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  1. Extended JT supergravity and random matrix models: The power of the string equation

    hep-th 2025-07 conditional novelty 7.0 of 10

    The string equation, with simple analyticity requirements, determines BPS sectors from non-BPS sectors and yields matrix model descriptions for N=3 and large N=4 JT supergravity.

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