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  <doc>
    <id>1173</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation>Lab. de Physique Th. LAPTH (CNRS);  Nat. Centr.  Univ., Taiwan; Brock Univ., St. Catherines, Ontario; Moscow State Univ.</contributingCorporation>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2010-07-05</completedDate>
    <publishedDate>2010-07-05</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">G_2 generating technique for minimal D=5 supergravity and black rings</title>
    <abstract language="eng">A solution generating technique is developed for $D=5$ minimal supergravity with two commuting Killing vectors based on the $G_2$ U-duality arising in the reduction of the theory to three dimensions. The target space of the corresponding 3-dimensional sigma-model is the coset $G_{2(2)}/(SL(2,R)\times SL(2,R))$. Its isometries constitute the set of solution generating symmetries. These include two electric and two magnetic Harrison transformations with the corresponding two pairs of gauge transformations, three $SL(2,R) \; S$-duality transformations, and the three gravitational scale, gauge and Ehlers transformations (altogether 14). We construct a representation of the coset in terms of $7\times 7$ matrices realizing the automorphisms of split octonions. Generating a new solution amounts to transforming the coset matrices by one-parametric subgroups of $G_{2(2)}$ and subsequently solving the dualization equations. Using this formalism we derive a new charged black ring solution with two independent parameters of rotation.</abstract>
    <identifier type="serial">10-14</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1237</identifier>
    <identifier type="arxiv">0708.2361</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11732</identifier>
    <enrichment key="SourceTitle">Appeared in: Phys. Rev. D 76, 104032 (2007).</enrichment>
    <author>Adel Bouchareb</author>
    <submitter>unknown unknown</submitter>
    <author>Gérard Clément</author>
    <author>Chiang-Mei Chen</author>
    <author>Thomas Wolf</author>
    <author>Dmitri V. Gal'tsov</author>
    <author>Nikolai G. Scherbluk</author>
    <series>
      <title>ZIB-Report</title>
      <number>10-14</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>supergravity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>black rings</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Killing vectors</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>duality</value>
    </subject>
    <collection role="ddc" number="530">Physik</collection>
    <collection role="pacs" number="04.20.Jb">Exact solutions</collection>
    <collection role="institutes" number="sis">Digital Data and Information for Society, Science, and Culture</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1173/ZR_10_14.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/1173/ZR_10_14.ps</file>
  </doc>
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