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Title: Geometric constraints on the space of N = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows

Journal Article · · Journal of High Energy Physics (Online)

This is the second in a series of three papers on systematic analysis of rank 1 Coulomb branch geometries of four dimensional N = 2 SCFTs. In [1] we developed a strategy for classifying physical rank-1 CB geometries of N = 2 SCFTs. Here we show how to carry out this strategy computationally to construct the Seiberg-Witten curves and one-forms for all the rank-1 SCFTs. Explicit expressions are given for all 28 cases, with the exception of the N f =4 su(2) gauge theory and the En SCFTs which were constructed in [2, 3] and [4, 5].

Research Organization:
Univ. of Cincinnati, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0011784
OSTI ID:
1499173
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 61 works
Citation information provided by
Web of Science

References (49)

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories journal January 2008
Quantised Singularities in the Electromagnetic Field journal September 1931
Superconformal fixed points with En global symmetry journal March 1997
The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap journal March 2016
An N = 2 superconformal fixed point with E6 global symmetry journal December 1996
F-theory at constant coupling journal September 1996
Uncovering the symmetries on $[p,q]$ 7-branes: Beyond the Kodaira classification journal January 1999
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD journal December 1994
String junctions for arbitrary Lie-algebra representations journal March 1999
Duality and Weyl symmetry of 7-brane configurations journal September 2000
4d N $$ \mathcal{N} $$ =2 theories with disconnected gauge groups journal March 2017
Tinkertoys for the E 6 theory journal September 2015
Quantum Field Theory of Particles with Both Electric and Magnetic Charges journal December 1968
Probing F-theory with branes journal October 1996
Invariants of Finite Groups Generated by Reflections journal October 1955
Semicontinuity of 4d N = 2 $$ \mathcal{N}=2 $$ spectrum under renormalization group flow journal March 2016
A Magnetic Model of Matter journal August 1969
F-theory and orientifolds journal September 1996
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects journal August 2012
Tinkertoys for Gaiotto duality journal November 2010
On the Structure of Compact Complex Analytic Surfaces, II journal July 1966
All Possible Symmetries of the S Matrix journal July 1967
Classification of 4d $ \mathcal{N} $ =2 gauge theories journal December 2013
Finite Unitary Reflection Groups journal January 1954
Finite complex reflection groups journal January 1976
Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges journal February 2018
Supersymmetric Yang-Mills theory and integrable systems journal February 1996
New = 2 superconformal field theories in four dimensions journal February 1996
Tinkertoys for the D N series journal February 2013
N = 2 superconformal field theory with ADE global symmetry on a D3-brane probe journal September 1999
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
Stress-tensor OPE in N = 2 $$ \mathcal{N}=2 $$ superconformal theories journal February 2016
On the Structure of Compact Complex Analytic Surfaces, I journal October 1964
S-duality in N = 2 supersymmetric gauge theories journal December 2007
Reflection groups and coxeter groups text January 2016
On the Structure of Compact Complex Analytic Surfaces, ii journal June 1964
Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories text January 2007
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects text January 2012
Tinkertoys for the $E_6$ Theory preprint January 2014
4d $\mathcal{N}$=2 theories with disconnected gauge groups text January 2016
New N=2 Superconformal Field Theories in Four Dimensions text January 1995
F-theory and Orientifolds text January 1996
Probing F-theory With Branes text January 1996
F-Theory at Constant Coupling text January 1996
An N=2 Superconformal Fixed Point with E_6 Global Symmetry text January 1996
Superconformal Fixed Points with E_n Global Symmetry text January 1996
String Junctions for Arbitrary Lie Algebra Representations text January 1998
Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification text January 1998

Cited By (2)

Universal correlation functions in rank 1 SCFTs journal December 2019
Notes on anomalies, elliptic curves and the BS-D conjecture journal December 2019

Figures / Tables (6)


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