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Gluing I: Integrals and Symmetries

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

We review some aspects of the cutting and gluing law in local quantum field theory. In particular, we emphasize the description of gluing by a path integral over a space of polarized boundary conditions, which are given by leaves of some Lagrangian foliation in the phase space. We think of this path integral as a non-local $(d-1)$-dimensional gluing theory associated to the parent local $d$-dimensional theory. We describe various properties of this procedure and spell out conditions under which symmetries of the parent theory lead to symmetries of the gluing theory. The purpose of this paper is to set up a playground for the companion paper where these techniques are applied to obtain new results in supersymmetric theories.

fields

hep-th 2

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers

hep-th · 2026-06-02 · unverdicted · novelty 6.0

Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual to Neumann boundary conditions.

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Showing 2 of 2 citing papers.

  • A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers hep-th · 2026-06-02 · unverdicted · none · ref 12 · internal anchor

    Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual to Neumann boundary conditions.

  • Localization, Factorization and Dualities for Elliptic Kernels hep-th · 2026-06-30 · unverdicted · none · ref 13 · internal anchor

    Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.