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Dilaton shifts, probability measures, and decomposition

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arxiv 2312.08438 v1 pith:FJ3H7B2V submitted 2023-12-13 hep-th

classification hep-th
keywords decompositiondilatonshiftspartquantumsymmetriesarisingcomment
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In this paper we discuss dilaton shifts (Euler counterterms) arising in decomposition of two-dimensional quantum field theories with higher-form symmetries. These take a universal form, reflecting underlying (noninvertible, quantum) symmetries. The first part of this paper constructs a general formula for such dilaton shifts, and discusses related computations. In the second part of this paper, we comment on the relation between decomposition and ensembles.

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  1. The $\alpha$-states of a string worldsheet

    hep-th 2026-07 conditional novelty 6.0 of 10

    The α-states of the Hurwitz worldsheet are symmetric-group characters weighted by the Poissonized Plancherel measure, so string amplitudes are ensemble averages whose weak-coupling limit is Kerov's central limit theorem.

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