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Title: Deformations of W A,D,E SCFTs

We discuss aspects of theories with superpotentials given by Arnold’s A, D, E singularities, particularly the novelties that arise when the fields are matrices. We focus on 4d N=1 variants of susy QCD, with U(N c ) or SU(N c ) gauge group, N f fundamental flavors, and adjoint matter fields X and Y appearing in W A,D,E (X, Y) superpotentials. Many of our considerations also apply in other possible contexts for matrix-variable W A,D,E . The 4d W A,D,E SQCD-type theories RG flow to superconformal field theories, and there are proposed duals in the literature for the W Ak, W Dk, and W E7 cases. As we review, the W Deven and W E7 duals rely on a conjectural, quantum truncation of the chiral ring. We explore these issues by considering various deformations of the W A,D,E superpotentials, and the resulting RG flows and IR theories. Rather than finding supporting evidence for the quantum truncation and W Deven and W E7 duals, we note some challenging evidence to the contrary.
Authors:
 [1] ;  [1]
  1. Univ. of California, San Diego, CA (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
SC0009919
Type:
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: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of California, San Diego, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetric gauge theory; supersymmetry and duality
OSTI Identifier:
1437364

Intriligator, Ken, and Nardoni, Emily. Deformations of W A,D,E SCFTs. United States: N. p., Web. doi:10.1007/JHEP09(2016)043.
Intriligator, Ken, & Nardoni, Emily. Deformations of W A,D,E SCFTs. United States. doi:10.1007/JHEP09(2016)043.
Intriligator, Ken, and Nardoni, Emily. 2016. "Deformations of W A,D,E SCFTs". United States. doi:10.1007/JHEP09(2016)043. https://www.osti.gov/servlets/purl/1437364.
@article{osti_1437364,
title = {Deformations of W A,D,E SCFTs},
author = {Intriligator, Ken and Nardoni, Emily},
abstractNote = {We discuss aspects of theories with superpotentials given by Arnold’s A, D, E singularities, particularly the novelties that arise when the fields are matrices. We focus on 4d N=1 variants of susy QCD, with U(N c ) or SU(N c ) gauge group, N f fundamental flavors, and adjoint matter fields X and Y appearing in W A,D,E (X, Y) superpotentials. Many of our considerations also apply in other possible contexts for matrix-variable W A,D,E . The 4d W A,D,E SQCD-type theories RG flow to superconformal field theories, and there are proposed duals in the literature for the WAk, WDk, and WE7 cases. As we review, the WDeven and WE7 duals rely on a conjectural, quantum truncation of the chiral ring. We explore these issues by considering various deformations of the W A,D,E superpotentials, and the resulting RG flows and IR theories. Rather than finding supporting evidence for the quantum truncation and WDeven and WE7 duals, we note some challenging evidence to the contrary.},
doi = {10.1007/JHEP09(2016)043},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2016,
place = {United States},
year = {2016},
month = {9}
}