Chern-Simons-matter dualities with SO and USp gauge groups
A bstract In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups....
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container_title | The journal of high energy physics |
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creator | Aharony, Ofer Benini, Francesco Hsin, Po-Shen Seiberg, Nathan |
description | A
bstract
In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(
N
)
k
Chern-Simons theories coupled to
N
f
real scalars in the fundamental representation, and SO(
k
)
–
N
+
N f
/ 2
theories coupled to
N
f
real (Majorana) fermions in the fundamental. For
N
f
= 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For
k
= 1 we get an interesting low-energy duality between
N
f
free Majorana fermions and an SO(
N
)
1
Chern-Simons theory coupled to
N
f
scalar fields (with
N
f
≤
N
− 2). |
doi_str_mv | 10.1007/JHEP02(2017)072 |
format | Article |
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bstract
In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(
N
)
k
Chern-Simons theories coupled to
N
f
real scalars in the fundamental representation, and SO(
k
)
–
N
+
N f
/ 2
theories coupled to
N
f
real (Majorana) fermions in the fundamental. For
N
f
= 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For
k
= 1 we get an interesting low-energy duality between
N
f
free Majorana fermions and an SO(
N
)
1
Chern-Simons theory coupled to
N
f
scalar fields (with
N
f
≤
N
− 2).</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP02(2017)072</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>algebras ; Boundaries ; chern-simons theories ; Chern-Simons Therories ; Classical and Quantum Gravitation ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; conformal field theory ; dimensions ; duality in gauge field theories ; Elementary Particles ; Fermions ; field-theory ; Gages ; Gauges ; group-level duality ; High energy physics ; Insulators ; Low energy ; matter ; mirror symmetry ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Representations ; Scalars ; String Theory ; topological states of matter</subject><ispartof>The journal of high energy physics, 2017-02, Vol.2017 (2), p.1-30, Article 72</ispartof><rights>The Author(s) 2017</rights><rights>Journal of High Energy Physics is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c411t-2adbe8c77fa18a454dd32b8fc2441045d38fde13d7ed91c1e3dce4bdcfbec683</citedby><cites>FETCH-LOGICAL-c411t-2adbe8c77fa18a454dd32b8fc2441045d38fde13d7ed91c1e3dce4bdcfbec683</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/JHEP02(2017)072$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP02(2017)072$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>230,314,776,780,860,881,27903,27904,41099,42168,51555</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1356080$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Aharony, Ofer</creatorcontrib><creatorcontrib>Benini, Francesco</creatorcontrib><creatorcontrib>Hsin, Po-Shen</creatorcontrib><creatorcontrib>Seiberg, Nathan</creatorcontrib><creatorcontrib>Weizmann Inst. of Science, Rehovot (Israel)</creatorcontrib><creatorcontrib>Princeton Univ., NJ (United States)</creatorcontrib><title>Chern-Simons-matter dualities with SO and USp gauge groups</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(
N
)
k
Chern-Simons theories coupled to
N
f
real scalars in the fundamental representation, and SO(
k
)
–
N
+
N f
/ 2
theories coupled to
N
f
real (Majorana) fermions in the fundamental. For
N
f
= 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For
k
= 1 we get an interesting low-energy duality between
N
f
free Majorana fermions and an SO(
N
)
1
Chern-Simons theory coupled to
N
f
scalar fields (with
N
f
≤
N
− 2).</description><subject>algebras</subject><subject>Boundaries</subject><subject>chern-simons theories</subject><subject>Chern-Simons Therories</subject><subject>Classical and Quantum Gravitation</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>conformal field theory</subject><subject>dimensions</subject><subject>duality in gauge field theories</subject><subject>Elementary Particles</subject><subject>Fermions</subject><subject>field-theory</subject><subject>Gages</subject><subject>Gauges</subject><subject>group-level duality</subject><subject>High energy physics</subject><subject>Insulators</subject><subject>Low energy</subject><subject>matter</subject><subject>mirror symmetry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</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>Representations</subject><subject>Scalars</subject><subject>String Theory</subject><subject>topological states of matter</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kMFLwzAUh4soOKdnr0UveqhL2nRJvcmYThlM2DyHNHntOtpkJinif29GPQzB03uH7_fjvS-KrjF6wAjRydti_o7SuxRheo9oehKNMEqLhBFanB7t59GFczuEcI4LNIoeZ1uwOlk3ndEu6YT3YGPVi7bxDbj4q_HbeL2KhVbxx3of16KvIa6t6ffuMjqrROvg6neOo83zfDNbJMvVy-vsaZlIgrFPUqFKYJLSSmAmSE6UytKSVTIlBCOSq4xVCnCmKKgCSwyZkkBKJasS5JRl4-hmqDXON9zJxoPcSqM1SM9xlk8RQwG6G6C9NZ89OM-7xkloW6HB9I5jxsIxOaEH9PYPujO91eGDQE1ZngczJFCTgZLWOGeh4nvbdMJ-c4z4wTcffPODbx58hwQaEi6QugZ71PtP5Ae--4DW</recordid><startdate>20170201</startdate><enddate>20170201</enddate><creator>Aharony, Ofer</creator><creator>Benini, Francesco</creator><creator>Hsin, Po-Shen</creator><creator>Seiberg, Nathan</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Springer Berlin</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><scope>OIOZB</scope><scope>OTOTI</scope></search><sort><creationdate>20170201</creationdate><title>Chern-Simons-matter dualities with SO and USp gauge groups</title><author>Aharony, Ofer ; Benini, Francesco ; Hsin, Po-Shen ; Seiberg, Nathan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c411t-2adbe8c77fa18a454dd32b8fc2441045d38fde13d7ed91c1e3dce4bdcfbec683</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>algebras</topic><topic>Boundaries</topic><topic>chern-simons theories</topic><topic>Chern-Simons Therories</topic><topic>Classical and Quantum Gravitation</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>conformal field theory</topic><topic>dimensions</topic><topic>duality in gauge field theories</topic><topic>Elementary Particles</topic><topic>Fermions</topic><topic>field-theory</topic><topic>Gages</topic><topic>Gauges</topic><topic>group-level duality</topic><topic>High energy physics</topic><topic>Insulators</topic><topic>Low energy</topic><topic>matter</topic><topic>mirror symmetry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</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>Representations</topic><topic>Scalars</topic><topic>String Theory</topic><topic>topological states of matter</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aharony, Ofer</creatorcontrib><creatorcontrib>Benini, Francesco</creatorcontrib><creatorcontrib>Hsin, Po-Shen</creatorcontrib><creatorcontrib>Seiberg, Nathan</creatorcontrib><creatorcontrib>Weizmann Inst. of Science, Rehovot (Israel)</creatorcontrib><creatorcontrib>Princeton Univ., NJ (United States)</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><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aharony, Ofer</au><au>Benini, Francesco</au><au>Hsin, Po-Shen</au><au>Seiberg, Nathan</au><aucorp>Weizmann Inst. of Science, Rehovot (Israel)</aucorp><aucorp>Princeton Univ., NJ (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Chern-Simons-matter dualities with SO and USp gauge groups</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2017-02-01</date><risdate>2017</risdate><volume>2017</volume><issue>2</issue><spage>1</spage><epage>30</epage><pages>1-30</pages><artnum>72</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(
N
)
k
Chern-Simons theories coupled to
N
f
real scalars in the fundamental representation, and SO(
k
)
–
N
+
N f
/ 2
theories coupled to
N
f
real (Majorana) fermions in the fundamental. For
N
f
= 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For
k
= 1 we get an interesting low-energy duality between
N
f
free Majorana fermions and an SO(
N
)
1
Chern-Simons theory coupled to
N
f
scalar fields (with
N
f
≤
N
− 2).</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP02(2017)072</doi><tpages>30</tpages><oa>free_for_read</oa></addata></record> |
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source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
subjects | algebras Boundaries chern-simons theories Chern-Simons Therories Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS conformal field theory dimensions duality in gauge field theories Elementary Particles Fermions field-theory Gages Gauges group-level duality High energy physics Insulators Low energy matter mirror symmetry Physics Physics and Astronomy PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Representations Scalars String Theory topological states of matter |
title | Chern-Simons-matter dualities with SO and USp gauge groups |
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