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Title: Higher derivative terms, toroidal compactification, and Weyl anomalies in six-dimensional (2, 0) theories

Abstract

We systematically analyze the effective action on the moduli space of (2,0) superconformal field theories in six dimensions, as well as their toroidal compactification to maximally supersymmetric Yang-Mills theories in five and four dimensions. We present a streamlined approach to non-renormalization theorems that constrain this effective action. The first several orders in its derivative expansion are determined by a one-loop calculation in five-dimensional Yang-Mills theory. This fixes the leading higher-derivative operators that describe the renormalization group flow into theories residing at singular points on the moduli space of the compactified (2,0) theories. This understanding allows us to compute the a-type Weyl anomaly for all (2,0) superconformal theories. We show that it decreases along every renormalization group flow that preserves (2,0) supersymmetry, thereby establishing the a-theorem for this class of theories. Along the way, we encounter various field-theoretic arguments for the ADE classification of (2,0) theories.

Authors:
 [1];  [1];  [1]
  1. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation
OSTI Identifier:
1598782
Grant/Contract Number:  
SC0007870; PHY-0847457; PHY-1067976; PHY-1205550
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: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Extended Supersymmetry; M-Theory; Supersymmetric Effective Theories

Citation Formats

Córdova, Clay, Dumitrescu, Thomas T., and Yin, Xi. Higher derivative terms, toroidal compactification, and Weyl anomalies in six-dimensional (2, 0) theories. United States: N. p., 2019. Web. https://doi.org/10.1007/JHEP10(2019)128.
Córdova, Clay, Dumitrescu, Thomas T., & Yin, Xi. Higher derivative terms, toroidal compactification, and Weyl anomalies in six-dimensional (2, 0) theories. United States. https://doi.org/10.1007/JHEP10(2019)128
Córdova, Clay, Dumitrescu, Thomas T., and Yin, Xi. Wed . "Higher derivative terms, toroidal compactification, and Weyl anomalies in six-dimensional (2, 0) theories". United States. https://doi.org/10.1007/JHEP10(2019)128. https://www.osti.gov/servlets/purl/1598782.
@article{osti_1598782,
title = {Higher derivative terms, toroidal compactification, and Weyl anomalies in six-dimensional (2, 0) theories},
author = {Córdova, Clay and Dumitrescu, Thomas T. and Yin, Xi},
abstractNote = {We systematically analyze the effective action on the moduli space of (2,0) superconformal field theories in six dimensions, as well as their toroidal compactification to maximally supersymmetric Yang-Mills theories in five and four dimensions. We present a streamlined approach to non-renormalization theorems that constrain this effective action. The first several orders in its derivative expansion are determined by a one-loop calculation in five-dimensional Yang-Mills theory. This fixes the leading higher-derivative operators that describe the renormalization group flow into theories residing at singular points on the moduli space of the compactified (2,0) theories. This understanding allows us to compute the a-type Weyl anomaly for all (2,0) superconformal theories. We show that it decreases along every renormalization group flow that preserves (2,0) supersymmetry, thereby establishing the a-theorem for this class of theories. Along the way, we encounter various field-theoretic arguments for the ADE classification of (2,0) theories.},
doi = {10.1007/JHEP10(2019)128},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2019,
place = {United States},
year = {2019},
month = {10}
}

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