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Title: $$ \mathcal{N}=1 $$ deformations and RG flows of $$ \mathcal{N}=2 $$ SCFTs

Journal Article · · Journal of High Energy Physics (Online)
 [1]; ORCiD logo [2]
  1. Imperial College, London (United Kingdom); Seikei Univ., Tokyo (Japan); University of California San Diego
  2. Univ. of California, San Diego, La Jolla, CA (United States)

Here, we study certain $$ \mathcal{N}=1 $$ preserving deformations of four-dimensional $$ \mathcal{N}=2 $$ superconformal field theories (SCFTs) with non-abelian 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 Argyres-Douglas theories and rank-one SCFTs with non-abelian flavor symmetries. Most notably, we find renormalization group flows from the deformed conformal SQCDs to the (A1,An) Argyres-Douglas 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 rank-one SCFTs, where the deformation gives genuine $$ \mathcal{N}=1 $$ fixed points.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0009919
OSTI ID:
1356082
Alternate ID(s):
OSTI ID: 1358375; OSTI ID: 22659002
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2017; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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