$$ \mathcal{N}=1 $$ deformations and RG flows of $$ \mathcal{N}=2 $$ SCFTs
Here, we study certain $$ \mathcal{N}=1 $$ preserving deformations of fourdimensional $$ \mathcal{N}=2 $$ superconformal field theories (SCFTs) with nonabelian flavor symmetry. The deformation is described by adding an $$ \mathcal{N}=1 $$ chiral multiplet transforming in the adjoint representation of the flavor symmetry with a superpotential coupling, and giving a nilpotent vacuum expectation value to the chiral multiplet which breaks the flavor symmetry. This triggers a renormalization group flow to an infrared SCFT. Remarkably, we find classes of theories flow to enhanced $$ \mathcal{N}=2 $$ supersymmetric fixed points in the infrared under the deformation. They include generalized ArgyresDouglas theories and rankone SCFTs with nonabelian flavor symmetries. Most notably, we find renormalization group flows from the deformed conformal SQCDs to the ( A_{1},A_{n}) ArgyresDouglas theories. From these "Lagrangian descriptions," we compute the full superconformal indices of the ( A_{1},A_{n}) theories and find agreements with the previous results. Furthermore, we study the cases, including the T_{N} and R_{0,N} theories of class S and some of rankone SCFTs, where the deformation gives genuine $$ \mathcal{N}=1 $$ fixed points.
 Authors:

^{[1]};
^{[2]}
 Imperial College, London (United Kingdom); Seikei Univ., Tokyo (Japan)
 Univ. of California, San Diego, La Jolla, CA (United States)
 Publication Date:
 Grant/Contract Number:
 SC0009919
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of California, San Diego, CA (United States); Imperial College London, London (United Kingdom)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; supersymmetric gauge theory; Ftheory; global symmetry; duality; QCD; conformal field theory; renormalization group; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1356082
 Alternate Identifier(s):
 OSTI ID: 1358375
Maruyoshi, Kazunobu, and Song, Jaewon. $ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs. United States: N. p.,
Web. doi:10.1007/JHEP02(2017)075.
Maruyoshi, Kazunobu, & Song, Jaewon. $ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs. United States. doi:10.1007/JHEP02(2017)075.
Maruyoshi, Kazunobu, and Song, Jaewon. 2017.
"$ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs". United States.
doi:10.1007/JHEP02(2017)075. https://www.osti.gov/servlets/purl/1356082.
@article{osti_1356082,
title = {$ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs},
author = {Maruyoshi, Kazunobu and Song, Jaewon},
abstractNote = {Here, we study certain $ \mathcal{N}=1 $ preserving deformations of fourdimensional $ \mathcal{N}=2 $ superconformal field theories (SCFTs) with nonabelian flavor symmetry. The deformation is described by adding an $ \mathcal{N}=1 $ chiral multiplet transforming in the adjoint representation of the flavor symmetry with a superpotential coupling, and giving a nilpotent vacuum expectation value to the chiral multiplet which breaks the flavor symmetry. This triggers a renormalization group flow to an infrared SCFT. Remarkably, we find classes of theories flow to enhanced $ \mathcal{N}=2 $ supersymmetric fixed points in the infrared under the deformation. They include generalized ArgyresDouglas theories and rankone SCFTs with nonabelian flavor symmetries. Most notably, we find renormalization group flows from the deformed conformal SQCDs to the (A1,An) ArgyresDouglas theories. From these "Lagrangian descriptions," we compute the full superconformal indices of the (A1,An) theories and find agreements with the previous results. Furthermore, we study the cases, including the TN and R0,N theories of class S and some of rankone SCFTs, where the deformation gives genuine $ \mathcal{N}=1 $ fixed points.},
doi = {10.1007/JHEP02(2017)075},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2017,
place = {United States},
year = {2017},
month = {2}
}