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On Maximal Green Sequences

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arxiv 1205.2050 v2 pith:5NJBTIWP submitted 2012-05-09 math.RT math.CO

classification math.RTmath.CO
keywords sequencesgreenmaximalquiverstheoryacyclicaffineappearing
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Maximal green sequences are particular sequences of quiver mutations appearing in the context of quantum dilogarithm identities and supersymmetric gauge theory. Interpreting maximal green sequences as paths in various natural posets arising in representation theory, we prove the finiteness of the number of maximal green sequences for cluster finite quivers, affine quivers and acyclic quivers with at most three vertices. We also give results concerning the possible numbers and lengths of these maximal green sequences.

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  1. BPS spectroscopy with reinforcement learning

    hep-th 2025-01 conditional novelty 6.0 of 10

    A PPO reinforcement learning agent finds quiver mutation sequences that enumerate finite BPS spectra and minimal chambers of complete N=2 theories, with new chamber counts for SU(2) Nf=4.

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