Shortening anomalies in supersymmetric theories

Gomis, Jaume; Komargodski, Zohar; Ooguri, Hirosi; Seiberg, Nathan; Wang, Yifan

doi:10.1007/JHEP01(2017)067

Title: Shortening anomalies in supersymmetric theories

Journal Article · Tue Jan 17 00:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2017)067· OSTI ID:1360780

Gomis, Jaume ^[1]; Komargodski, Zohar ^[2]; Ooguri, Hirosi ^[3]; Seiberg, Nathan ^[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.

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 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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Institute for Theoretical Physics; Princeton Univ., NJ (United States)

Sponsoring Organization:: National Science Foundation (NSF); Government of Canada; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632; SC0009988; PHY-1620059; 1937/12; PHY-1066293

OSTI ID:: 1360780

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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Conformal perturbation theory for twisted fields Keller, Christoph A.; Zadeh, Ida G. Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 9 https://doi.org/10.1088/1751-8121/ab6b91	journal	February 2020
Anomalies in the space of coupling constants and their dynamical applications I Cordova, Clay; Freed, Daniel; Lam, Ho Tat SciPost Physics, Vol. 8, Issue 1 https://doi.org/10.21468/scipostphys.8.1.001	journal	January 2020
On 2-Group Global Symmetries and Their Anomalies Benini, Francesco; Cordova, Clay; Hsin, Po-Shen arXiv https://doi.org/10.48550/arxiv.1803.09336	text	January 2018
Anomalies in the Space of Coupling Constants and Their Dynamical Applications I Cordova, Clay; Freed, Daniel S.; Lam, Ho Tat arXiv https://doi.org/10.48550/arxiv.1905.09315	text	January 2019
Conformal Perturbation Theory for Twisted Fields Keller, Christoph A.; Zadeh, Ida G. arXiv https://doi.org/10.48550/arxiv.1907.08207	text	January 2019

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