Toric quiver asymptotics and Mahler measure: N=2 BPS states
A bstract The BPS sector in N = 2 , four-dimensional toric quiver gauge theories has previously been studied using the crystal melting model and dimer model. We introduce the Mahler measure associated with the statistical dimer model to study the large N limit of these quiver gauge theories. In this...
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| creator | Zahabi, Ali |
| description | A
bstract
The BPS sector in
N
=
2
, four-dimensional toric quiver gauge theories has previously been studied using the crystal melting model and dimer model. We introduce the Mahler measure associated with the statistical dimer model to study the large
N
limit of these quiver gauge theories. In this limit, the generating function of BPS states in a general toric quiver theory is studied and entropy, growth rate of BPS states and free energy of the quiver are obtained in terms of the Mahler measure. Moreover, a possible third-order phase transition in toric quivers is discussed. Explicit computations of the profile function, entropy density, BPS growth rate and phase structure of quivers are presented in concrete examples of the clover ℂ
3
, and resolved conifold
C
quivers. Finally, BPS growth rates of Hirzebruch
F
0
, and ℂ
3
/
ℤ
2
× ℤ
2
orbifold quivers are obtained and a possible interpretation of the results for certain BPS black holes is discussed. |
| doi_str_mv | 10.1007/JHEP07(2019)121 |
| format | Article |
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bstract
The BPS sector in
N
=
2
, four-dimensional toric quiver gauge theories has previously been studied using the crystal melting model and dimer model. We introduce the Mahler measure associated with the statistical dimer model to study the large
N
limit of these quiver gauge theories. In this limit, the generating function of BPS states in a general toric quiver theory is studied and entropy, growth rate of BPS states and free energy of the quiver are obtained in terms of the Mahler measure. Moreover, a possible third-order phase transition in toric quivers is discussed. Explicit computations of the profile function, entropy density, BPS growth rate and phase structure of quivers are presented in concrete examples of the clover ℂ
3
, and resolved conifold
C
quivers. Finally, BPS growth rates of Hirzebruch
F
0
, and ℂ
3
/
ℤ
2
× ℤ
2
orbifold quivers are obtained and a possible interpretation of the results for certain BPS black holes is discussed.</description><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP07(2019)121</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Dimers ; Elementary Particles ; Entropy ; Free energy ; High energy physics ; Phase transitions ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Solid phases ; String Theory</subject><ispartof>The journal of high energy physics, 2019-07, Vol.2019 (7), p.1-27</ispartof><rights>The Author(s) 2019</rights><rights>Journal of High Energy Physics is a copyright of Springer, (2019). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP07(2019)121$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP07(2019)121$$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>Zahabi, Ali</creatorcontrib><title>Toric quiver asymptotics and Mahler measure: N=2 BPS states</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
The BPS sector in
N
=
2
, four-dimensional toric quiver gauge theories has previously been studied using the crystal melting model and dimer model. We introduce the Mahler measure associated with the statistical dimer model to study the large
N
limit of these quiver gauge theories. In this limit, the generating function of BPS states in a general toric quiver theory is studied and entropy, growth rate of BPS states and free energy of the quiver are obtained in terms of the Mahler measure. Moreover, a possible third-order phase transition in toric quivers is discussed. Explicit computations of the profile function, entropy density, BPS growth rate and phase structure of quivers are presented in concrete examples of the clover ℂ
3
, and resolved conifold
C
quivers. Finally, BPS growth rates of Hirzebruch
F
0
, and ℂ
3
/
ℤ
2
× ℤ
2
orbifold quivers are obtained and a possible interpretation of the results for certain BPS black holes is discussed.</description><subject>Classical and Quantum Gravitation</subject><subject>Dimers</subject><subject>Elementary Particles</subject><subject>Entropy</subject><subject>Free energy</subject><subject>High energy physics</subject><subject>Phase transitions</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>Solid phases</subject><subject>String Theory</subject><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNpFkEFLw0AUhBdBsEbPXhe86CG67yWbzSoebKlWqVqwnpdN8qIpbZPuJoL_3pQIngaGYYb5GDsDcQVCqOvn2XQh1AUK0JeAcMBGIFCHaaz0ETv2fiUESNBixG6Xtatyvuuqb3Lc-p9N09ZtlXtutwV_sV_r3t6Q9Z2jG_56h3y8eOe-tS35E3ZY2rWn0z8N2MfDdDmZhfO3x6fJ_TxsEOM2jPOEIME0AiwwkyoC0mVJQJGSUscAGUqCPLaCCkSl06xIVB5HKs2slAVGATsfehtX7zryrVnVndv2kwYx6U8i9u0BE0PKN67afpL7T4EweyxmwGL2WEyPJfoFCFNVBg</recordid><startdate>20190719</startdate><enddate>20190719</enddate><creator>Zahabi, Ali</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</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></search><sort><creationdate>20190719</creationdate><title>Toric quiver asymptotics and Mahler measure: N=2 BPS states</title><author>Zahabi, Ali</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p224t-4c6e1628312d2b5731e9ffe1e37559411b25e1c4a0ed22798bd67c4378ba55d23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Dimers</topic><topic>Elementary Particles</topic><topic>Entropy</topic><topic>Free energy</topic><topic>High energy physics</topic><topic>Phase transitions</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>Solid phases</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zahabi, Ali</creatorcontrib><collection>Springer Nature OA Free Journals</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><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zahabi, Ali</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Toric quiver asymptotics and Mahler measure: N=2 BPS states</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2019-07-19</date><risdate>2019</risdate><volume>2019</volume><issue>7</issue><spage>1</spage><epage>27</epage><pages>1-27</pages><eissn>1029-8479</eissn><abstract>A
bstract
The BPS sector in
N
=
2
, four-dimensional toric quiver gauge theories has previously been studied using the crystal melting model and dimer model. We introduce the Mahler measure associated with the statistical dimer model to study the large
N
limit of these quiver gauge theories. In this limit, the generating function of BPS states in a general toric quiver theory is studied and entropy, growth rate of BPS states and free energy of the quiver are obtained in terms of the Mahler measure. Moreover, a possible third-order phase transition in toric quivers is discussed. Explicit computations of the profile function, entropy density, BPS growth rate and phase structure of quivers are presented in concrete examples of the clover ℂ
3
, and resolved conifold
C
quivers. Finally, BPS growth rates of Hirzebruch
F
0
, and ℂ
3
/
ℤ
2
× ℤ
2
orbifold quivers are obtained and a possible interpretation of the results for certain BPS black holes is discussed.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP07(2019)121</doi><tpages>27</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | The journal of high energy physics, 2019-07, Vol.2019 (7), p.1-27 |
| issn | 1029-8479 |
| language | eng |
| recordid | cdi_proquest_journals_2262012228 |
| source | DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection; Springer Nature OA Free Journals |
| subjects | Classical and Quantum Gravitation Dimers Elementary Particles Entropy Free energy High energy physics Phase transitions Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Solid phases String Theory |
| title | Toric quiver asymptotics and Mahler measure: N=2 BPS states |
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