Shortening anomalies in supersymmetric theories
We present new anomalies in twodimensional 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]};
^{[5]}
 Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
 Weizmann Inst. of Science, Rehovot (Israel)
 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
 Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
 Princeton Univ., NJ (United States). Joseph Henry Lab.
 Publication Date:
 Grant/Contract Number:
 SC0011632; SC0009988; PHY1620059; 1937/12; PHY1066293
 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 10298479
 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
Gomis, Jaume, Komargodski, Zohar, Ooguri, Hirosi, Seiberg, Nathan, and Wang, Yifan. Shortening anomalies in supersymmetric theories. United States: N. p.,
Web. doi:10.1007/JHEP01(2017)067.
Gomis, Jaume, Komargodski, Zohar, Ooguri, Hirosi, Seiberg, Nathan, & Wang, Yifan. Shortening anomalies in supersymmetric theories. United States. doi:10.1007/JHEP01(2017)067.
Gomis, Jaume, Komargodski, Zohar, Ooguri, Hirosi, Seiberg, Nathan, and Wang, Yifan. 2017.
"Shortening anomalies in supersymmetric theories". United States.
doi:10.1007/JHEP01(2017)067. https://www.osti.gov/servlets/purl/1360780.
@article{osti_1360780,
title = {Shortening anomalies in supersymmetric theories},
author = {Gomis, Jaume and Komargodski, Zohar and Ooguri, Hirosi and Seiberg, Nathan and Wang, Yifan},
abstractNote = {We present new anomalies in twodimensional 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 K3 and T4 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.},
doi = {10.1007/JHEP01(2017)067},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2017,
place = {United States},
year = {2017},
month = {1}
}