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Title: Shortening anomalies in supersymmetric theories

We present new anomalies in two-dimensional N = (2, 2) superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at coincident points. This implies that marginal couplings cannot be promoted to background superfields in short representations. Therefore, standard results that follow from N = (2, 2) spurion analysis are invalidated. These anomalies appear only if supersymmetry is enhanced beyond N = (2; 2). These anomalies explain why the conformal manifolds of the K 3 and T 4 sigma models are not Kähler and do not factorize into chiral and twisted chiral moduli spaces and why there are no N = (2, 2) gauged linear sigma models that cover these conformal manifolds. We also present these results from the point of view of the Riemann curvature of conformal manifolds.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ; ORCiD logo [5]
  1. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  2. Weizmann Inst. of Science, Rehovot (Israel)
  3. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe
  4. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  5. Princeton Univ., NJ (United States). Joseph Henry Lab.
Publication Date:
Grant/Contract Number:
SC0011632; SC0009988; PHY-1620059; 1937/12; PHY-1066293
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Princeton Univ., NJ (United States)
Sponsoring Org:
USDOE; National Science Foundation (NSF); Government of Canada
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Conformal Field Theory; Supersymmetric gauge theory
OSTI Identifier:
1360780