Categorical structure of the set of all CFTs

Rotem Ben Zeev; Behzat Ergun; Elisa Milan; Shlomo S. Razamat

doi:10.1103/PhysRevD.110.025019

Categorical structure of the set of all CFTs

Rotem Ben Zeev, Behzat Ergun, Elisa Milan, Shlomo S. Razamat

Physics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We identify a categorical structure of the set of all conformal field theories (CFTs). In particular, we show that the set of all CFTs has a natural monoidal strict 2-category structure with the 1-morphisms being sequences of deformations and 2-morphisms determined by 0-form symmetries of the CFTs.

Original language	English
Article number	025019
Journal	Physical Review D
Volume	110
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.110.025019
State	Published - 15 Jul 2024

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1103/PhysRevD.110.025019

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AU - Milan, Elisa

AU - Razamat, Shlomo S.

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AB - We identify a categorical structure of the set of all conformal field theories (CFTs). In particular, we show that the set of all CFTs has a natural monoidal strict 2-category structure with the 1-morphisms being sequences of deformations and 2-morphisms determined by 0-form symmetries of the CFTs.

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U2 - 10.1103/PhysRevD.110.025019

DO - 10.1103/PhysRevD.110.025019

M3 - مقالة

SN - 2470-0010

VL - 110

JO - Physical Review D

JF - Physical Review D

IS - 2

M1 - 025019

ER -

Categorical structure of the set of all CFTs

Abstract

All Science Journal Classification (ASJC) codes

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