Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD

We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge coupling, obeying differential equations which take the form of t...

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Detalles Bibliográficos
Autores principales: Baggio, Marco, Niarchos, Vasilis, Papadodimas, Kyriakos
Lenguaje:eng
Publicado: 2014
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.113.251601
http://cds.cern.ch/record/1756059
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author Baggio, Marco
Niarchos, Vasilis
Papadodimas, Kyriakos
author_facet Baggio, Marco
Niarchos, Vasilis
Papadodimas, Kyriakos
author_sort Baggio, Marco
collection CERN
description We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere. Our results are verified independently in perturbation theory with a Feynman diagram computation up to 2-loops. This is a short version of a companion paper that contains detailed technical remarks, additional material and aspects of an extension to SU(N) gauge group.
id cern-1756059
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
record_format invenio
spelling cern-17560592023-07-01T03:48:44Zdoi:10.1103/PhysRevLett.113.251601http://cds.cern.ch/record/1756059engBaggio, MarcoNiarchos, VasilisPapadodimas, KyriakosExact correlation functions in $SU(2) \mathcal N=2$ superconformal QCDParticle Physics - TheoryWe report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere. Our results are verified independently in perturbation theory with a Feynman diagram computation up to 2-loops. This is a short version of a companion paper that contains detailed technical remarks, additional material and aspects of an extension to SU(N) gauge group.<p>We report an exact solution of 2- and 3-point functions of chiral primary fields in <inline-formula><mml:math display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math></inline-formula> super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are nontrivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere. Our results are verified independently in perturbation theory with a Feynman diagram computation up to 2 loops. This is a short version of a companion paper that contains detailed technical remarks, additional material, and aspects of an extension to the <inline-formula><mml:math display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math></inline-formula> gauge group.</p>We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere. Our results are verified independently in perturbation theory with a Feynman diagram computation up to 2-loops. This is a short version of a companion paper that contains detailed technical remarks, additional material and aspects of an extension to SU(N) gauge group.arXiv:1409.4217CCTP-2014-18CCQCN-2014-42CERN-PH-TH-2014-177CCTP-2014-18CCQCN-2014-42CERN-PH-TH-2014-177oai:cds.cern.ch:17560592014-09-15
spellingShingle Particle Physics - Theory
Baggio, Marco
Niarchos, Vasilis
Papadodimas, Kyriakos
Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD
title Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD
title_full Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD
title_fullStr Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD
title_full_unstemmed Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD
title_short Exact correlation functions in $SU(2) \mathcal N=2$ superconformal QCD
title_sort exact correlation functions in $su(2) \mathcal n=2$ superconformal qcd
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevLett.113.251601
http://cds.cern.ch/record/1756059
work_keys_str_mv AT baggiomarco exactcorrelationfunctionsinsu2mathcaln2superconformalqcd
AT niarchosvasilis exactcorrelationfunctionsinsu2mathcaln2superconformalqcd
AT papadodimaskyriakos exactcorrelationfunctionsinsu2mathcaln2superconformalqcd

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