FZZT brane relations in the presence of boundary magnetic fields
A bstract We show how a boundary state different from the (1, 1) Cardy state may be realised in the ( p, p + 1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Isi...
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| Veröffentlicht in: | The journal of high energy physics 2012-11, Vol.2012 (11), Article 163 |
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| container_title | The journal of high energy physics |
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| creator | Atkin, Max R. Zohren, Stefan |
| description | A
bstract
We show how a boundary state different from the (1, 1) Cardy state may be realised in the (
p, p
+ 1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Ising model. The resolvent for the auxiliary matrix is computed using an extension of the saddle-point method of Zinn-Justin to the case of non- identical potentials. The structure of the saddle-point equations result in a Seiberg-Shih like relation between the boundary states which is valid away from the continuum limit, in addition to an expression for the spectral curve of the free spin boundary state. We then show how the technique may be used to analyse boundary states corresponding to a boundary magnetic field, thereby allowing us to generalise the work of Carroll et al. on the boundary renormalisation flow of the Ising model, to any (
p, p
+ 1) model. |
| doi_str_mv | 10.1007/JHEP11(2012)163 |
| format | Article |
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bstract
We show how a boundary state different from the (1, 1) Cardy state may be realised in the (
p, p
+ 1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Ising model. The resolvent for the auxiliary matrix is computed using an extension of the saddle-point method of Zinn-Justin to the case of non- identical potentials. The structure of the saddle-point equations result in a Seiberg-Shih like relation between the boundary states which is valid away from the continuum limit, in addition to an expression for the spectral curve of the free spin boundary state. We then show how the technique may be used to analyse boundary states corresponding to a boundary magnetic field, thereby allowing us to generalise the work of Carroll et al. on the boundary renormalisation flow of the Ising model, to any (
p, p
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bstract
We show how a boundary state different from the (1, 1) Cardy state may be realised in the (
p, p
+ 1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Ising model. The resolvent for the auxiliary matrix is computed using an extension of the saddle-point method of Zinn-Justin to the case of non- identical potentials. The structure of the saddle-point equations result in a Seiberg-Shih like relation between the boundary states which is valid away from the continuum limit, in addition to an expression for the spectral curve of the free spin boundary state. We then show how the technique may be used to analyse boundary states corresponding to a boundary magnetic field, thereby allowing us to generalise the work of Carroll et al. on the boundary renormalisation flow of the Ising model, to any (
p, p
+ 1) model.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>High energy physics</subject><subject>Ising model</subject><subject>Magnetic fields</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>Saddle points</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kD1PwzAQhi0EEqUws1pigSH0zo4TZwNVLQVVgqEsXax8nEuq1il2MvDvSRUkWJjuhvd57_Qwdo1wjwDp5GUxe0O8FYDiDhN5wkYIIot0nGanf_ZzdhHCFgAVZjBiD_P1esULnzvinnZ5Wzcu8Nrx9oP4wVMgVxJvLC-azlW5_-L7fOOorUtua9pV4ZKd2XwX6Opnjtn7fLaaLqLl69Pz9HEZlRKhjZSQkCaiKBOdxdqSjBOBqK0WCiCvSCWJBlsIZUGnmJItkPIiVilVSWWlkmN2M_QefPPZUWjNtum8608aITMtYql12qcmQ6r0TQierDn4et-_bRDMUZMZNJmjJtNr6gkYiNAn3Yb8b-9_yDeb6mgS</recordid><startdate>20121101</startdate><enddate>20121101</enddate><creator>Atkin, Max R.</creator><creator>Zohren, Stefan</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>20121101</creationdate><title>FZZT brane relations in the presence of boundary magnetic fields</title><author>Atkin, Max R. ; Zohren, Stefan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c310t-5230762bc68948fe3462118f82500ade56680fb25f08717efb1eab457ed6df353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>High energy physics</topic><topic>Ising model</topic><topic>Magnetic fields</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>Saddle points</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Atkin, Max R.</creatorcontrib><creatorcontrib>Zohren, Stefan</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>Atkin, Max R.</au><au>Zohren, Stefan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>FZZT brane relations in the presence of boundary magnetic fields</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2012-11-01</date><risdate>2012</risdate><volume>2012</volume><issue>11</issue><artnum>163</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We show how a boundary state different from the (1, 1) Cardy state may be realised in the (
p, p
+ 1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Ising model. The resolvent for the auxiliary matrix is computed using an extension of the saddle-point method of Zinn-Justin to the case of non- identical potentials. The structure of the saddle-point equations result in a Seiberg-Shih like relation between the boundary states which is valid away from the continuum limit, in addition to an expression for the spectral curve of the free spin boundary state. We then show how the technique may be used to analyse boundary states corresponding to a boundary magnetic field, thereby allowing us to generalise the work of Carroll et al. on the boundary renormalisation flow of the Ising model, to any (
p, p
+ 1) model.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP11(2012)163</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | Springer Nature OA Free Journals |
| subjects | Classical and Quantum Gravitation Elementary Particles High energy physics Ising model Magnetic fields Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory Saddle points String Theory |
| title | FZZT brane relations in the presence of boundary magnetic fields |
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