Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory

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• 作者：Stijn J. van Tongeren ^{svantongeren@physik.hu-berlin.de" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Nuclear Physics B
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：904
• 期：Complete
• 页码：148-175
• 全文大小：518 K

文摘

We give an AdS/CFT interpretation to homogeneous Yang–Baxter deformations of the hURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000134&_mathId=si1.gif&_user=111111111&_pii=S0550321316000134&_rdoc=1&_issn=05503213&md5=7527290179f470db402f4c870a4c3f0c" title="Click to view the MathML source">AdS₅×S⁵den">de">${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ superstring as noncommutative deformations of the dual gauge theory, going well beyond the canonical noncommutative case. These homogeneous Yang–Baxter deformations can be of so-called abelian or jordanian type. While abelian deformations have a clear interpretation in string theory and many already had well understood gauge theory duals, jordanian deformations appear novel on both counts. We discuss the symmetry structure of the deformed string from the uniformizing perspective of Drinfeld twists and indicate that this structure can be realized on the gauge theory side by considering theories on various noncommutative spaces. We then conjecture that these are the gauge theory duals of our strings, modulo subtleties involving singularities. We support this conjecture by a brane construction for two jordanian examples, corresponding to noncommutative spaces with den">de">$[x^{-}\stackrel{\star }{,}{x}^i]\sim x^i$ (de2fe6755c94a3b7c8e239" title="Click to view the MathML source">i=1,2den">de">$i=1,2$). We also discuss κ  -Minkowski type deformations of AdS₅×S⁵den">de">${\mathrm{AdS}}_5\times {\mathrm{S}}^5$, one of which may be the gravity dual of gauge theory on spacelike κ-Minkowski space.