RG flows on two-dimensional spherical defects

Shachar, Tom; Sinha, Ritam; Smolkin, Michael

doi:10.21468/SciPostPhys.15.6.240

SciPost Physics

RG flows on two-dimensional spherical defects

Tom Shachar, Ritam Sinha, Michael Smolkin

SciPost Phys. 15, 240 (2023) · published 14 December 2023

doi: 10.21468/SciPostPhys.15.6.240
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Abstract

We study two-dimensional spherical defects in d-dimensional Conformal Field Theories. We argue that the Renormalization Group (RG) flows on such defects admit the existence of a decreasing entropy function. At the fixed points of the flow, the entropy function equals the anomaly coefficient which multiplies the Euler density in the defect's Weyl anomaly. Our construction demonstrates an alternative derivation of the irreversibility of RG flows on two-dimensional defects. Moreover, in the case of perturbative RG flows induced by weakly relevant deformations, the entropy function decreases monotonically and plays the role of a C-function. We provide a simple example to explicitly work out the RG flow details in the proposed construction.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.6.240
TI  - RG flows on two-dimensional spherical defects
PY  - 2023/12/14
UR  - https://scipost.org/SciPostPhys.15.6.240
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 6
SP  - 240
A1  - Shachar, Tom
AU  - Sinha, Ritam
AU  - Smolkin, Michael
AB  - We study two-dimensional spherical defects in d-dimensional Conformal Field Theories. We argue that the Renormalization Group (RG) flows on such defects admit the existence of a decreasing entropy function. At the fixed points of the flow, the entropy function equals the anomaly coefficient which multiplies the Euler density in the defect's Weyl anomaly. Our construction demonstrates an alternative derivation of the irreversibility of RG flows on two-dimensional defects. Moreover, in the case of perturbative RG flows induced by weakly relevant deformations, the entropy function decreases monotonically and plays the role of a C-function. We provide a simple example to explicitly work out the RG flow details in the proposed construction.
ER  -

@Article{10.21468/SciPostPhys.15.6.240,
	title={{RG flows on two-dimensional spherical defects}},
	author={Tom Shachar and Ritam Sinha and Michael Smolkin},
	journal={SciPost Phys.},
	volume={15},
	pages={240},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.6.240},
	url={https://scipost.org/10.21468/SciPostPhys.15.6.240},
}

Cited by 6

Ontology / Topics

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Conformal field theory (CFT) Renormalization group (RG) Weyl anomalies

Authors / Affiliation: mappings to Contributors and Organizations

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¹ Tom Shachar,
¹ Ritam Sinha,
¹ Michael Smolkin

¹ האוניברסיטה העברית בירושלים / Hebrew University of Jerusalem [HUJI]

Funder for the research work leading to this publication

Israel Science Foundation [ISF]