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Title: Expanding the landscape of $$ \mathcal{N} $$ = 2 rank 1 SCFTs

Abstract

Here, we refine our previous proposal [1-3] for systematically classifying 4d rank-1 N = 2 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories [4, 5], including novel N = 3 SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.

Authors:
 [1];  [1];  [1];  [1]
  1. Univ. of Cincinnati, Cincinnati, OH (United States)
Publication Date:
Research Org.:
Univ. of Cincinnati, Cincinnati, OH (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1326964
Grant/Contract Number:
SC0011784
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; extended supersymmetry; nonperturbative effects; supersymmetric gauge theory

Citation Formats

Argyres, Philip C., Lotito, Matteo, Lu, Yongchao, and Martone, Mario. Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs. United States: N. p., 2016. Web. doi:10.1007/JHEP05(2016)088.
Argyres, Philip C., Lotito, Matteo, Lu, Yongchao, & Martone, Mario. Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs. United States. doi:10.1007/JHEP05(2016)088.
Argyres, Philip C., Lotito, Matteo, Lu, Yongchao, and Martone, Mario. Mon . "Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs". United States. doi:10.1007/JHEP05(2016)088. https://www.osti.gov/servlets/purl/1326964.
@article{osti_1326964,
title = {Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs},
author = {Argyres, Philip C. and Lotito, Matteo and Lu, Yongchao and Martone, Mario},
abstractNote = {Here, we refine our previous proposal [1-3] for systematically classifying 4d rank-1 N = 2 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories [4, 5], including novel N = 3 SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.},
doi = {10.1007/JHEP05(2016)088},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {Mon May 16 00:00:00 EDT 2016},
month = {Mon May 16 00:00:00 EDT 2016}
}

Journal Article:
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Cited by: 17works
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  • Here, we study certainmore » $$ \mathcal{N}=1 $$ 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.« less
  • We study certain N=1 preserving deformations of four-dimensional N=2 superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an 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 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, wemore » 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 N=1 fixed points.« less
  • We continue to investigate the N = 1 deformations of four-dimensional N = 2 superconformal field theories (SCFTs) labeled by a nilpotent element of the flavor symmetry [1]. This triggers a renormalization group (RG) flow to an N = 1 SCFT. We systematically analyze all possible deformations of this type for certain classes of N = 2 SCFTs: conformal SQCDs, generalized Argyres-Douglas theories and the E 6 SCFT. We find a number of examples where the amount of supersymmetry gets enhanced to N = 2 at the end point of the RG flow. Most notably, we find that the SU(N)more » and Sp(N) conformal SQCDs can be deformed to flow to the Argyres-Douglas (AD) theories of type (A 1,D 2 N-1) and (A 1,D 2 N) respectively. This RG flow therefore allows us to compute the full superconformal index of the (A 1,D N) class of AD theories. Moreover, we find an infrared duality between N = 1 theories where the fixed point is described by an N = 2 AD theory. We observe that the classes of examples that exhibit supersymmetry enhancement saturate certain bounds for the central charges implied by the associated two-dimensional chiral algebra.« less
  • Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C 2/Z k singularities.
  • We present D3-brane solutions in type IIB string theory which preserve 1/4 of supersymmetry. Their near-horizon geometry is AdS{sup 5}xX{sup 5} where X{sup 5} is an appropriate Einstein space and they are candidates for supergravity duals of certain four-dimensional superconformal field theories.