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Flat Connections from Irregular Conformal Blocks

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arxiv 2311.07960 v1 pith:EAHPSEQT submitted 2023-11-14 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords blocksconformalirregularconnectionsderiveflatintegralrepresentations
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In this work we study Liouville conformal blocks with degenerate primaries and one operator in an irregular representation of the Virasoro algebra. Using an algebraic approach, we derive modified BPZ equations satisfied by such blocks and subsequently construct corresponding integral representations based on integration over non-compact Lefschetz cycles. The integral representations are then used to derive novel types of flat connections on the irregular conformal block bundle.

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Cited by 1 Pith paper

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  1. 2D CFT and efficient Bethe ansatz for exactly solvable Richardson-Gaudin models

    hep-th 2025-07 conditional novelty 3.0 of 10

    The paper identifies the Richardson Yang-Yang function with a Gaiotto-Witten irregular Virasoro block and provides a numerical solver for the Bethe equations of Richardson-Gaudin models.

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