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

Maruyoshi, Kazunobu; Song, Jaewon

doi:10.1007/JHEP02(2017)075

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

Journal Article · 13 February 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP02(2017)075 · OSTI ID:1356082

Maruyoshi, Kazunobu ^[1];

^[2]

Imperial College, London (United Kingdom); Seikei Univ., Tokyo (Japan); University of California San Diego
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,A_n) Argyres-Douglas theories. From these "Lagrangian descriptions," we compute the full superconformal indices of the (A₁,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 rank-one SCFTs, where the deformation gives genuine $$ \mathcal{N}=1 $$ fixed points.

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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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