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

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

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1103/PhysRevD.110.025019

Cite this

@article{78252798126f4a8e8bc979916f27e7fc,

title = "Categorical structure of the set of all CFTs",

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.",

author = "\{Ben Zeev\}, Rotem and Behzat Ergun and Elisa Milan and Razamat, \{Shlomo S.\}",

note = "Publisher Copyright: {\textcopyright} 2024 authors.",

year = "2024",

month = jul,

day = "15",

doi = "10.1103/PhysRevD.110.025019",

language = "אנגלית",

volume = "110",

number = "2",

}

TY - JOUR

T1 - Categorical structure of the set of all CFTs

AU - Ben Zeev, Rotem

AU - Ergun, Behzat

AU - Milan, Elisa

AU - Razamat, Shlomo S.

PY - 2024/7/15

Y1 - 2024/7/15

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85199533475

U2 - 10.1103/PhysRevD.110.025019

DO - 10.1103/PhysRevD.110.025019

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85199533475

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this