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://www.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},
}