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Title: $$\mathcal{N}$$ = (1, 0) anomaly multiplet relations in six dimensions

Abstract

Abstract We consider conformal and ’t Hooft anomalies in six-dimensional $$ \mathcal{N} $$ N = (1, 0) superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and SU(2)R currents, as well as stress tensors. By analyzing these correlators in superspace, we explain why the number of independent conformal anomalies is reduced in supersymmetric theories. For instance, non- supersymmetric CFTs in six dimensions have three independent conformal c-anomalies, which determine the stress-tensor two- and three-point functions, but in superconformal theories the three c-anomalies are subject to a linear constraint. We also describe anomaly multiplet relations, which express the conformal anomalies of a superconformal theory in terms of its ’t Hooft anomalies. Following earlier work on the conformal a-anomaly, we argue for these relations by considering the supersymmetric dilaton effective action on the tensor branch of such a theory. We illustrate the utility of these anomaly multiplet relations by presenting exact results for conformal anomalies, and hence current and stress-tensor correlators, in several interacting examples.

Authors:
 [1];  [2];  [3]
  1. Univ. of Chicago, IL (United States). Kadanoff Center for Theoretical Physics. Enrico Fermi Inst.
  2. Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics. Dept. of Physics and Astronomy
  3. Univ. of California, San Diego, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of California, Los Angeles, CA (United States); Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1646659
Alternate Identifier(s):
OSTI ID: 1785448
Grant/Contract Number:  
SC0020421; SC0009919
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Conformal Field Theory; Extended Supersymmetry; Field Theories in Higher Dimensions

Citation Formats

Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. $\mathcal{N}$ = (1, 0) anomaly multiplet relations in six dimensions. United States: N. p., 2020. Web. https://doi.org/10.1007/JHEP07(2020)065.
Córdova, Clay, Dumitrescu, Thomas T., & Intriligator, Kenneth. $\mathcal{N}$ = (1, 0) anomaly multiplet relations in six dimensions. United States. https://doi.org/10.1007/JHEP07(2020)065
Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. Fri . "$\mathcal{N}$ = (1, 0) anomaly multiplet relations in six dimensions". United States. https://doi.org/10.1007/JHEP07(2020)065. https://www.osti.gov/servlets/purl/1646659.
@article{osti_1646659,
title = {$\mathcal{N}$ = (1, 0) anomaly multiplet relations in six dimensions},
author = {Córdova, Clay and Dumitrescu, Thomas T. and Intriligator, Kenneth},
abstractNote = {Abstract We consider conformal and ’t Hooft anomalies in six-dimensional $$ \mathcal{N} $$ N = (1, 0) superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and SU(2)R currents, as well as stress tensors. By analyzing these correlators in superspace, we explain why the number of independent conformal anomalies is reduced in supersymmetric theories. For instance, non- supersymmetric CFTs in six dimensions have three independent conformal c-anomalies, which determine the stress-tensor two- and three-point functions, but in superconformal theories the three c-anomalies are subject to a linear constraint. We also describe anomaly multiplet relations, which express the conformal anomalies of a superconformal theory in terms of its ’t Hooft anomalies. Following earlier work on the conformal a-anomaly, we argue for these relations by considering the supersymmetric dilaton effective action on the tensor branch of such a theory. We illustrate the utility of these anomaly multiplet relations by presenting exact results for conformal anomalies, and hence current and stress-tensor correlators, in several interacting examples.},
doi = {10.1007/JHEP07(2020)065},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2020,
place = {United States},
year = {2020},
month = {7}
}

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