skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [1]
  1. Univ. of Cincinnati, OH (United States)
+ Show Author Affiliations

Coulomb branch chiral rings of N = 2 SCFTs are conjectured to be freely generated. While no counter-example is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying non-trivial relations, restricting our analysis to rank 1. The main result of our study is that (rank-1) SCFTs with non-freely generated CB chiral rings when deformed by relevant deformations, always flow to theories with non-freely generated CB rings. This implies that if they exist, they must thus form a distinct subset under RG flows. We also nd many interesting characteristic properties that these putative theories satisfy which may be helpful in proving or disproving their existence using other methods.

Research Organization:
Univ. of Cincinnati, OH (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0011784
OSTI ID:
1424739
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 6; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 24 works
Citation information provided by
Web of Science

References (17)

Infinite Chiral Symmetry in Four Dimensions journal January 2015
Causality, analyticity and an IR obstruction to UV completion journal October 2006
The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap journal March 2016
Superconformal fixed points with En global symmetry journal March 1997
On the Structure of Compact Complex Analytic Surfaces, II journal July 1966
An N = 2 superconformal fixed point with E6 global symmetry journal December 1996
Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs journal May 2016
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD journal December 1994
4D $\mathcal{N} = 2$ SCFT and singularity theory. Part II: complete intersection journal January 2017
Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators journal January 2016
On short and semi-short representations for four-dimensional superconformal symmetry journal September 2003
Supersymmetric Yang-Mills theory and integrable systems journal February 1996
Chiral algebras of class S $$ \mathcal{S} $$ journal May 2015
Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories journal December 2013
Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory journal September 1994
On the Structure of Compact Complex Analytic Surfaces, I journal October 1964
Special K�hler Manifolds journal May 1999

Cited By (6)

Flavor symmetries and the topology of special Kähler structures at rank 1 journal February 2019
The singularity structure of scale-invariant rank-2 Coulomb branches journal May 2018
Geometric classification of 4d N = 2 $$ \mathcal{N}=2 $$ SCFTs journal July 2018
4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging journal October 2018
Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text January 2017
Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text January 2017

Similar Records

Towards a classification of rank r $\mathscr{N}$ = 2 SCFTs. Part II. Special Kahler stratification of the Coulomb branch
Journal Article · Thu Dec 03 00:00:00 EST 2020 · Journal of High Energy Physics (Online) · OSTI ID:1424739
Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations
Journal Article · Thu Feb 01 00:00:00 EST 2018 · Journal of High Energy Physics (Online) · OSTI ID:1424739
+1 more
Coulomb branches with complex singularities
Journal Article · Fri Jun 08 00:00:00 EDT 2018 · Journal of High Energy Physics (Online) · OSTI ID:1424739

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Conformal and W Symmetry
Conformal Field Theory
Extended Super-symmetry