A universal fermionic analogue of the shear viscosity
A bstract We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of...
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creator | Erdmenger, Johanna Steinfurt, Stephan |
description | A
bstract
We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of
η/s
. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D
p
-brane diffusion constants. |
doi_str_mv | 10.1007/JHEP07(2013)018 |
format | Article |
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bstract
We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of
η/s
. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D
p
-brane diffusion constants.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP07(2013)018</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Absorption cross sections ; Classical and Quantum Gravitation ; Computation ; Constants ; Diffusion ; Elementary Particles ; Fermions ; High energy physics ; Mathematical analysis ; Physics ; Physics and Astronomy ; Poles ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory ; Supersymmetry</subject><ispartof>The journal of high energy physics, 2013-07, Vol.2013 (7), p.1-30, Article 18</ispartof><rights>SISSA, Trieste, Italy 2013</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c343t-170c51d3067c5f8cae987c04b0b4afc9e885618e2deb52d6ec2e6f7f44d969b33</citedby><cites>FETCH-LOGICAL-c343t-170c51d3067c5f8cae987c04b0b4afc9e885618e2deb52d6ec2e6f7f44d969b33</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/JHEP07(2013)018$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/JHEP07(2013)018$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41096,41464,42165,42533,51294,51551</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP07(2013)018$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Erdmenger, Johanna</creatorcontrib><creatorcontrib>Steinfurt, Stephan</creatorcontrib><title>A universal fermionic analogue of the shear viscosity</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of
η/s
. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D
p
-brane diffusion constants.</description><subject>Absorption cross sections</subject><subject>Classical and Quantum Gravitation</subject><subject>Computation</subject><subject>Constants</subject><subject>Diffusion</subject><subject>Elementary Particles</subject><subject>Fermions</subject><subject>High energy physics</subject><subject>Mathematical analysis</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Poles</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><subject>Supersymmetry</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kDFPwzAQRi0EEqUws0ZiKUPo2YnjZKyqQkGVYIDZcpxzmyqNi51U6r_HVRgqJKa74X2f7h4h9xSeKICYvi0XHyAmDGjyCDS_ICMKrIjzVBSXZ_s1ufF-C0A5LWBE-Czq2_qAzqsmMuh2tW1rHalWNXbdY2RN1G0w8htULjrUXltfd8dbcmVU4_Hud47J1_Pic76MV-8vr_PZKtZJmnQxFaA5rRLIhOYm1wqLXGhISyhTZXSBec4zmiOrsOSsylAzzIwwaVoVWVEmyZhMht69s989-k7uwgnYNKpF23tJhQAmGBU0oA9_0K3tXXgjUBlnRRIc8UBNB0o7671DI_eu3il3lBTkSaMcNMqTRhk0hgQMCR_Ido3urPefyA9BsXMo</recordid><startdate>20130701</startdate><enddate>20130701</enddate><creator>Erdmenger, Johanna</creator><creator>Steinfurt, Stephan</creator><general>Springer Berlin Heidelberg</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><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20130701</creationdate><title>A universal fermionic analogue of the shear viscosity</title><author>Erdmenger, Johanna ; Steinfurt, Stephan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c343t-170c51d3067c5f8cae987c04b0b4afc9e885618e2deb52d6ec2e6f7f44d969b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Absorption cross sections</topic><topic>Classical and Quantum Gravitation</topic><topic>Computation</topic><topic>Constants</topic><topic>Diffusion</topic><topic>Elementary Particles</topic><topic>Fermions</topic><topic>High energy physics</topic><topic>Mathematical analysis</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Poles</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><topic>Supersymmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Erdmenger, Johanna</creatorcontrib><creatorcontrib>Steinfurt, Stephan</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><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_linktorsrc</fulltext></delivery><addata><au>Erdmenger, Johanna</au><au>Steinfurt, Stephan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A universal fermionic analogue of the shear viscosity</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2013-07-01</date><risdate>2013</risdate><volume>2013</volume><issue>7</issue><spage>1</spage><epage>30</epage><pages>1-30</pages><artnum>18</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of
η/s
. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D
p
-brane diffusion constants.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP07(2013)018</doi><tpages>30</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Absorption cross sections Classical and Quantum Gravitation Computation Constants Diffusion Elementary Particles Fermions High energy physics Mathematical analysis Physics Physics and Astronomy Poles Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory Supersymmetry |
title | A universal fermionic analogue of the shear viscosity |
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