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From AdS/CFT correspondence to hydrodynamics
- J. High Energy Phys
"... hep-th/0210220 ..."
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On limits of superstring in AdS5×S 5
, 2002
"... The superstring action in AdS5 × S 5 depends on two parameters: the inverse string tension α ′ and the radius R. The “standard ” AdS/CFT correspondence requires that the string coordinates are rescaled so that the action depends only on one combination of the two: √ λ = R 2 /α ′. Then λ → 0 limit i ..."
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The superstring action in AdS5 × S 5 depends on two parameters: the inverse string tension α ′ and the radius R. The “standard ” AdS/CFT correspondence requires that the string coordinates are rescaled so that the action depends only on one combination of the two: √ λ = R 2 /α ′. Then λ → 0 limit is equivalent to R → 0 for fixed α ′ or to the zero-tension limit in AdS5 × S 5: α ′ → ∞ for fixed R. After reviewing previous work on the light cone superstring we explicitly obtain the λ = 0 form of its action. Its zero-mode part is the same as the superparticle action in AdS5 × S 5, and thus the λ = 0 string spectrum must include, as expected, the “protected ” type IIB supergravity states. Following recent suggestions, it is conjectured that the spectrum of this tensionless string should as well contain higher spin massless states in AdS5. We also discuss the case of another parametrization of the string action which has straightforward R → ∞ flat space limit but where R → 0 and α ′ → ∞ limits are not equivalent. There R → 0 corresponds to shrinking S 5 to zero the size and “freezing ” the fluctuations of the radial coordinate of AdS5. This case is related to “non-standard ” AdS/CFT correspondence suggested in hep-th/0010106.
On novel string theories from 4d gauge theories.
"... Abstract. We investigate strings theories as defined from four dimensional gauge theo-ries. It is argued that novel (super)string theories exist up to 26 dimensions. Some of them may support weakly curved geometries. A proposal is outlined to link their local conformal invariance to the dynamics of ..."
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Abstract. We investigate strings theories as defined from four dimensional gauge theo-ries. It is argued that novel (super)string theories exist up to 26 dimensions. Some of them may support weakly curved geometries. A proposal is outlined to link their local conformal invariance to the dynamics of the bulk string theory. 1
Published by Institute of Physics Publishing for SISSA/ISAS
, 2003
"... Evaluating the AdS dual of the critical O(N) vector model ..."
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Major Subject: PhysicsGAUGED SUPERGRAVITIES FROM SPHERICAL REDUCTIONS
, 2001
"... Chair of Advisory Committee: Dr. Christopher N. Pope This dissertation is devoted to deriving the bosonic sectors of certain gauged supergravities in various dimensions from reducing eleven-dimensional supergravity, type IIA and type IIB supergravities in ten dimensions on certain spherical spaces. ..."
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Chair of Advisory Committee: Dr. Christopher N. Pope This dissertation is devoted to deriving the bosonic sectors of certain gauged supergravities in various dimensions from reducing eleven-dimensional supergravity, type IIA and type IIB supergravities in ten dimensions on certain spherical spaces. Explicit non-linear Kaluza-Klein ansätze for reductions of eleven-dimensional supergravity and of type IIA and type IIB supergravities on Sn and Sn ×T m are presented. Knowing explicit non-linear ansätze is proven to be very useful in finding super Yang-Mills operators of gauge theories via AdS/CFT correspondence. We present a sample calculation which allows us to find a super Yang-Mills operator using a non-linear ansatz. Knowing non-linear ansätze is also useful for finding supergravity duals to certain twisted supersymmetric gauge theories. These supergravity solutions are branes wrapped on certain supersymmetric cycles. Some solutions, which are dual to gauge theories in three and five dimensions, are presented. To my parents for their love and their support iv v ACKNOWLEDGMENTS I am very grateful to my advisor, Christopher N. Pope, for not only teaching me Physics, but also for helping me with various issues in life. I am also grateful to Mirjam Cvetič and Hong Lü for the research we did together. I am thankful to Glenn Agnolet, Richard Arnowitt, Michael Duff and Ergin Sezgin for teaching me various subjects of physics.
hep-th/0007099 Isometries in anti-de Sitter and Conformal Superspaces
, 2000
"... We derive explicit forms for the superisometries of a wide class of supercoset manifolds, including those with fermionic generators in the stability group. We apply the results to construct the action of SU(2,2|4) on three supercoset manifolds: (10|32)-dimensional AdS5 ×S 5 superspace, (4|16)-dimens ..."
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We derive explicit forms for the superisometries of a wide class of supercoset manifolds, including those with fermionic generators in the stability group. We apply the results to construct the action of SU(2,2|4) on three supercoset manifolds: (10|32)-dimensional AdS5 ×S 5 superspace, (4|16)-dimensional conformal superspace, and a novel (10|16)-dimensional conformal superspace. Using superembedding techniques, we show, to lowest non-trivial order in the fermions, that at the boundary of AdS5, the superisometries of the AdS5 ×S 5 superspace reduce to the standard N = 4 superconformal transformations. In particular, half of the 32 fermionic coordinates decouple from the superisometries. a
