The condensate from torus knots
A bstract We discuss recently formulated instanton-torus knot duality in Ω-deformed 5D SQED on ℝ 4 × S 1 focusing at the microscopic aspects of the condensate formation in the instanton ensemble. Using the chain of dualities and geometric transitions we embed the SQED with a surface defect into the...
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| Veröffentlicht in: | The journal of high energy physics 2015-09, Vol.2015 (9), p.1-41, Article 102 |
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| container_title | The journal of high energy physics |
| container_volume | 2015 |
| creator | Gorsky, A. Milekhin, A. Sopenko, N. |
| description | A
bstract
We discuss recently formulated instanton-torus knot duality in Ω-deformed 5D SQED on
ℝ
4
×
S
1
focusing at the microscopic aspects of the condensate formation in the instanton ensemble. Using the chain of dualities and geometric transitions we embed the SQED with a surface defect into the SU(2) SQCD with
N
f
= 4 and identify the numbers (
n
,
m
) of the torus
T
n
,
m
knot as instanton charge and electric charge. The HOMFLY torus knot invariants in the fundamental representation provide entropic factor in the condensate of the massless flavor counting the degeneracy of the instanton-W-boson web with instanton and electric numbers (
n
,
m
) but different spin and flavor content. Using the inverse geometrical transition we explain how our approach is related to the evaluation of the HOMFLY invariants in terms of Wilson loop in 3d CS theory. The reduction to 4D theory is briefly considered and some analogy with baryon vertex is conjectured. |
| doi_str_mv | 10.1007/JHEP09(2015)102 |
| format | Article |
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bstract
We discuss recently formulated instanton-torus knot duality in Ω-deformed 5D SQED on
ℝ
4
×
S
1
focusing at the microscopic aspects of the condensate formation in the instanton ensemble. Using the chain of dualities and geometric transitions we embed the SQED with a surface defect into the SU(2) SQCD with
N
f
= 4 and identify the numbers (
n
,
m
) of the torus
T
n
,
m
knot as instanton charge and electric charge. The HOMFLY torus knot invariants in the fundamental representation provide entropic factor in the condensate of the massless flavor counting the degeneracy of the instanton-W-boson web with instanton and electric numbers (
n
,
m
) but different spin and flavor content. Using the inverse geometrical transition we explain how our approach is related to the evaluation of the HOMFLY invariants in terms of Wilson loop in 3d CS theory. The reduction to 4D theory is briefly considered and some analogy with baryon vertex is conjectured.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP09(2015)102</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Charge ; Classical and Quantum Gravitation ; Condensates ; Electric charge ; Elementary Particles ; Flavours ; High energy physics ; Instantons ; Invariants ; Knots ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Three dimensional</subject><ispartof>The journal of high energy physics, 2015-09, Vol.2015 (9), p.1-41, Article 102</ispartof><rights>The Author(s) 2015</rights><rights>SISSA, Trieste, Italy 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c430t-ae2f031e0944016045b3c4d2ecd0acd0d37f6413051ff72f5fa09eab4abdc3643</citedby><cites>FETCH-LOGICAL-c430t-ae2f031e0944016045b3c4d2ecd0acd0d37f6413051ff72f5fa09eab4abdc3643</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(2015)102$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP09(2015)102$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27901,27902,41096,42165,51551</link.rule.ids></links><search><creatorcontrib>Gorsky, A.</creatorcontrib><creatorcontrib>Milekhin, A.</creatorcontrib><creatorcontrib>Sopenko, N.</creatorcontrib><title>The condensate from torus knots</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We discuss recently formulated instanton-torus knot duality in Ω-deformed 5D SQED on
ℝ
4
×
S
1
focusing at the microscopic aspects of the condensate formation in the instanton ensemble. Using the chain of dualities and geometric transitions we embed the SQED with a surface defect into the SU(2) SQCD with
N
f
= 4 and identify the numbers (
n
,
m
) of the torus
T
n
,
m
knot as instanton charge and electric charge. The HOMFLY torus knot invariants in the fundamental representation provide entropic factor in the condensate of the massless flavor counting the degeneracy of the instanton-W-boson web with instanton and electric numbers (
n
,
m
) but different spin and flavor content. Using the inverse geometrical transition we explain how our approach is related to the evaluation of the HOMFLY invariants in terms of Wilson loop in 3d CS theory. The reduction to 4D theory is briefly considered and some analogy with baryon vertex is conjectured.</description><subject>Charge</subject><subject>Classical and Quantum Gravitation</subject><subject>Condensates</subject><subject>Electric charge</subject><subject>Elementary Particles</subject><subject>Flavours</subject><subject>High energy physics</subject><subject>Instantons</subject><subject>Invariants</subject><subject>Knots</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><subject>Three dimensional</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNp1kL1PwzAQxS0EEqUwMxKJpQyhd7FTJyOqCgVVgqHMluOcoaWNi50M_e9xFYYKieE-dPq9p9Nj7BrhHgHk-GU-e4NylAHmdwjZCRvEXqaFkOXp0X7OLkJYQ6SwhAG7WX5SYlxTUxN0S4n1bpu0znch-WpcGy7ZmdWbQFe_c8jeH2fL6TxdvD49Tx8WqREc2lRTZoEjQSkE4AREXnEj6oxMDTpWzaWdCOSQo7Uys7nVUJKuhK5qwyeCD9mo9915991RaNV2FQxtNroh1wWFBRSIEgqI6O0fdO0638TvFErkkgMvDobjnjLeheDJqp1fbbXfKwR1CEz1galDYPGQRQX0ihDJ5oP8ke8_kh-EDmrC</recordid><startdate>20150901</startdate><enddate>20150901</enddate><creator>Gorsky, A.</creator><creator>Milekhin, A.</creator><creator>Sopenko, N.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><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><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20150901</creationdate><title>The condensate from torus knots</title><author>Gorsky, A. ; Milekhin, A. ; Sopenko, N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c430t-ae2f031e0944016045b3c4d2ecd0acd0d37f6413051ff72f5fa09eab4abdc3643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Charge</topic><topic>Classical and Quantum Gravitation</topic><topic>Condensates</topic><topic>Electric charge</topic><topic>Elementary Particles</topic><topic>Flavours</topic><topic>High energy physics</topic><topic>Instantons</topic><topic>Invariants</topic><topic>Knots</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><topic>Three dimensional</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gorsky, A.</creatorcontrib><creatorcontrib>Milekhin, A.</creatorcontrib><creatorcontrib>Sopenko, N.</creatorcontrib><collection>Springer Nature OA/Free Journals</collection><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><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gorsky, A.</au><au>Milekhin, A.</au><au>Sopenko, N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The condensate from torus knots</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2015-09-01</date><risdate>2015</risdate><volume>2015</volume><issue>9</issue><spage>1</spage><epage>41</epage><pages>1-41</pages><artnum>102</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We discuss recently formulated instanton-torus knot duality in Ω-deformed 5D SQED on
ℝ
4
×
S
1
focusing at the microscopic aspects of the condensate formation in the instanton ensemble. Using the chain of dualities and geometric transitions we embed the SQED with a surface defect into the SU(2) SQCD with
N
f
= 4 and identify the numbers (
n
,
m
) of the torus
T
n
,
m
knot as instanton charge and electric charge. The HOMFLY torus knot invariants in the fundamental representation provide entropic factor in the condensate of the massless flavor counting the degeneracy of the instanton-W-boson web with instanton and electric numbers (
n
,
m
) but different spin and flavor content. Using the inverse geometrical transition we explain how our approach is related to the evaluation of the HOMFLY invariants in terms of Wilson loop in 3d CS theory. The reduction to 4D theory is briefly considered and some analogy with baryon vertex is conjectured.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP09(2015)102</doi><tpages>41</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | The journal of high energy physics, 2015-09, Vol.2015 (9), p.1-41, Article 102 |
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| language | eng |
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| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection; Springer Nature OA/Free Journals |
| subjects | Charge Classical and Quantum Gravitation Condensates Electric charge Elementary Particles Flavours High energy physics Instantons Invariants Knots Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Three dimensional |
| title | The condensate from torus knots |
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