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

Córdova, Clay; Dumitrescu, Thomas T.; Yin, Xi

doi:10.1007/JHEP10(2019)128

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:

Córdova, Clay ^[1]; Dumitrescu, Thomas T. ^[1]; Yin, Xi ^[1]

Harvard Univ., Cambridge, MA (United States)

Publication Date:: 2019-10-09

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.  doi:10.1007/JHEP10(2019)128.

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                    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

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                    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.

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@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}

}

Copy to clipboard

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

Abstract

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Comments on string dynamics in six dimensions journal, July 1996

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Geometric origin of Montonen–Olive duality
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Anomaly of $(2, 0)$ theories
journal, October 2001

Non-abelian tensor-multiplet anomalies
journal, September 1998

The holographic Weyl anomaly
journal, July 1998

Non-perturbative formulas for central functions of supersymmetric gauge theories
journal, August 1998

Summing up instantons in three-dimensional Yang–Mills theories
journal, January 1999

Gravitational anomalies
journal, April 1984

Open p-branes
journal, August 1996

Five-branes and M-theory on an orbifold
journal, March 1996

$M$ theory as a matrix model: A conjecture
journal, April 1997

Global aspects of current algebra
journal, August 1983

Notes on theories with 16 supercharges
journal, July 1998

Framed BPS states
journal, January 2013

Duality, self-duality, sources and charge quantization in abelian N-form theories
journal, May 1997

Deformations with maximal supersymmetries part 2: off-shell formulation
journal, April 2016

Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories
journal, June 1998

Supersymmetry and the Yang-Mills effective action at finite N
journal, June 1999

The conformal anomaly of M5-branes
journal, June 2012

Comments on higher derivative operators in some SUSY field theories
journal, September 1997

Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories
journal, August 2000

Is there a c-theorem in four dimensions?
journal, December 1988

Comments on string dynamics in six dimensions
journal, July 1996

Non-trivial fixed points of the renormalization group in six dimensions
journal, January 1997

Deformations of superconformal theories
journal, November 2016

Multiplets of superconformal symmetry in diverse dimensions
journal, March 2019

Generalized global symmetries
journal, February 2015

On D = 5 super Yang-Mills theory and (2, 0) theory
journal, February 2011

M5-Branes, D4-Branes and quantum 5D super-Yang-Mills
journal, January 2011

Revisiting soliton contributions to perturbative amplitudes
journal, September 2014

Consistent and covariant anomalies in gauge and gravitational theories
journal, October 1984

Anomaly polynomial of general 6D SCFTs
journal, October 2014

Magnetic interactions of D-branes and Wess-Zumino terms in Super Yang-Mills effective actions
journal, February 2000

Geometric classification of conformal anomalies in arbitrary dimensions
journal, July 1993

On renormalization group flows in four dimensions
journal, December 2011

The constraints of conformal symmetry on RG flows
journal, July 2012

On renormalization group flows and the a-theorem in 6d
journal, October 2012

Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
journal, February 2000

W $$ \mathcal{W} $$ symmetry in six dimensions
journal, May 2015

terms in 11 dimensions and conformal anomaly of () theory
journal, September 2000

Supergravity one-loop corrections on AdS 7 and AdS 3 , higher spins and AdS/CFT
journal, March 2015

On S-duality of 5d super Yang-Mills on S 1
journal, November 2011

On the 6d origin of discrete additional data of 4d gauge theories
journal, May 2014

Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories
journal, October 2016

RG flows in d dimensions, the dilaton effective action, and the a-theorem
journal, March 2013

The a-theorem and the asymptotics of 4D quantum field theory
journal, January 2013

Higher derivative couplings in theories with sixteen supersymmetries
journal, December 2015

Wilson-’t Hooft operators in four-dimensional gauge theories and $S$ -duality
journal, July 2006

Pseudoparticle parameters for arbitrary gauge groups
journal, November 1977

Supersymmetric deformations of maximally supersymmetric gauge theories
journal, September 2012

Integral invariants in maximally supersymmetric Yang-Mills theories
journal, May 2011

Supersymmetric non-abelian Born-Infeld revisited
journal, July 2001

$D = 5$ maximally supersymmetric Yang-Mills theory diverges at six loops
journal, January 2013

Group theory for unified model building
journal, December 1981

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching
journal, October 2014

Self-Dual Strings in Six Dimensions: Anomalies, the ADE-Classification, and the World-Sheet WZW-Model
journal, March 2005

Charge lattices and consistency of 6D supergravity
journal, June 2011

Interpolating the Coulomb phase of little string theory
journal, December 2015

Coupling a QFT to a TQFT and duality
journal, April 2014

3d dualities from 4d dualities for orthogonal groups
journal, August 2013

On 6d N = (2, 0) theory compactified on a Riemann surface with finite area
journal, January 2013

Amplitudes and spinor-helicity in six dimensions
journal, July 2009

Supertwistor space for 6D maximal super Yang-Mills
journal, April 2010

Simple superamplitudes in higher dimensions
journal, June 2012