Instantons and 2d superconformal field theory
A recently proposed correspondence between 4-dimensional SUSY SU( k ) gauge theories on and SU( k ) Toda-like theories with Z m parafermionic symmetry is used to construct four-point super Liouville conformal block, which corresponds to the particular case k = m = 2. The construction is based on...
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container_title | The journal of high energy physics |
container_volume | 2011 |
creator | Belavin, A. Belavin, V. Bershtein, M. |
description | A recently proposed correspondence between 4-dimensional
SUSY SU(
k
) gauge theories on
and SU(
k
) Toda-like theories with
Z
m
parafermionic symmetry is used to construct four-point
super Liouville conformal block, which corresponds to the particular case
k
=
m
= 2.
The construction is based on the conjectural relation between moduli spaces of SU(2) instantons on
and algebras like
. This conjecture is confirmed by checking the coincidence of number of fixed points on such instanton moduli space with given instanton number
N
and dimension of subspace degree
N
in the representation of such algebra. |
doi_str_mv | 10.1007/JHEP09(2011)117 |
format | Article |
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SUSY SU(
k
) gauge theories on
and SU(
k
) Toda-like theories with
Z
m
parafermionic symmetry is used to construct four-point
super Liouville conformal block, which corresponds to the particular case
k
=
m
= 2.
The construction is based on the conjectural relation between moduli spaces of SU(2) instantons on
and algebras like
. This conjecture is confirmed by checking the coincidence of number of fixed points on such instanton moduli space with given instanton number
N
and dimension of subspace degree
N
in the representation of such algebra.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP09(2011)117</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Classical and Quantum Gravitation ; Elementary Particles ; Field theory ; High energy physics ; Instantons ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2011-09, Vol.2011 (9), Article 117</ispartof><rights>SISSA, Trieste, Italy 2011</rights><rights>SISSA, Trieste, Italy 2011.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c422t-dd650c6b66cb9c2349b155874bf2b139c83c5fab6ac9a7b3d6faf4ff702a3b273</citedby><cites>FETCH-LOGICAL-c422t-dd650c6b66cb9c2349b155874bf2b139c83c5fab6ac9a7b3d6faf4ff702a3b273</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP09(2011)117$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/JHEP09(2011)117$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41101,41469,42170,42538,51300,51557</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP09(2011)117$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Belavin, A.</creatorcontrib><creatorcontrib>Belavin, V.</creatorcontrib><creatorcontrib>Bershtein, M.</creatorcontrib><title>Instantons and 2d superconformal field theory</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A recently proposed correspondence between 4-dimensional
SUSY SU(
k
) gauge theories on
and SU(
k
) Toda-like theories with
Z
m
parafermionic symmetry is used to construct four-point
super Liouville conformal block, which corresponds to the particular case
k
=
m
= 2.
The construction is based on the conjectural relation between moduli spaces of SU(2) instantons on
and algebras like
. This conjecture is confirmed by checking the coincidence of number of fixed points on such instanton moduli space with given instanton number
N
and dimension of subspace degree
N
in the representation of such algebra.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Field theory</subject><subject>High energy physics</subject><subject>Instantons</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kD1PwzAURS0EEqUws0ZigSH02U7seERVoUWVYIDZ8ie0Su1iJ0P_PamCBAvTu8M990kHoWsM9xiAz56Xi1cQtwQwvsOYn6AJBiLKpuLi9E8-Rxc5bwFwjQVMULkKuVOhiyEXKtiC2CL3e5dMDD6mnWoLv3GtLbpPF9PhEp151WZ39XOn6P1x8TZfluuXp9X8YV2aipCutJbVYJhmzGhhCK2ExnXd8Ep7ojEVpqGm9kozZYTimlrmla-850AU1YTTKboZd_cpfvUud3Ib-xSGl5JQ0QyLhMLQmo0tk2LOyXm5T5udSgeJQR6dyNGJPDqRg5OBgJHIQzN8uPS7-x_yDQIwYsE</recordid><startdate>20110901</startdate><enddate>20110901</enddate><creator>Belavin, A.</creator><creator>Belavin, V.</creator><creator>Bershtein, M.</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20110901</creationdate><title>Instantons and 2d superconformal field theory</title><author>Belavin, A. ; Belavin, V. ; Bershtein, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c422t-dd650c6b66cb9c2349b155874bf2b139c83c5fab6ac9a7b3d6faf4ff702a3b273</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Field theory</topic><topic>High energy physics</topic><topic>Instantons</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Belavin, A.</creatorcontrib><creatorcontrib>Belavin, V.</creatorcontrib><creatorcontrib>Bershtein, M.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Belavin, A.</au><au>Belavin, V.</au><au>Bershtein, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Instantons and 2d superconformal field theory</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2011-09-01</date><risdate>2011</risdate><volume>2011</volume><issue>9</issue><artnum>117</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A recently proposed correspondence between 4-dimensional
SUSY SU(
k
) gauge theories on
and SU(
k
) Toda-like theories with
Z
m
parafermionic symmetry is used to construct four-point
super Liouville conformal block, which corresponds to the particular case
k
=
m
= 2.
The construction is based on the conjectural relation between moduli spaces of SU(2) instantons on
and algebras like
. This conjecture is confirmed by checking the coincidence of number of fixed points on such instanton moduli space with given instanton number
N
and dimension of subspace degree
N
in the representation of such algebra.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP09(2011)117</doi><oa>free_for_read</oa></addata></record> |
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source | Springer Nature OA Free Journals |
subjects | Classical and Quantum Gravitation Elementary Particles Field theory High energy physics Instantons Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
title | Instantons and 2d superconformal field theory |
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