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2016

D-instantons in Klebanov-Witten model

Imaanpur, Ali

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We study D-instanton solutions in type IIB supergravity on $AdS_5\times T^{1,1}$, which has a dual ${\cal N}=1$ $SU(N)\times SU(N)$ super Yang-Mills theory.

Apart from ordinary D(-1)-brane instantons, we discuss wrapped D1-branes over minimal 2-cycles and derive explicit solutions preserving half the supersymmetries.
These solutions are identified with Yang-Mills instantons which are (anti)self-dual in both gauge group factors with instanton charge $(k,k')$.
By examining the boundary behaviour of the solutions we discuss the coupling to the corresponding dual boundary operators, and identify their vacuum expectation values.

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Built on

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J. H. Schwarz, Covariant Field Equations Of Chiral N=2 D=10 Supergravity
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C. P. Burgess and C. A. Lutken, Propagators and Effective Potentials in Anti-de Sitter Space
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M. B. Green and M. Gutperle, Effects of D-instantons
1997
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J. M. Maldacena, The Large N Limit of Superconformal Field Theories and Supergravity
1998
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I. R. Klebanov and E. Witten, Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
1998
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M. Bianchi, M. B. Green, S. Kovacs and G. Rossi, Instantons in Supersymmetric Yang-Mills and D-instantons in IIB Superstring Theory
1998
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E. Witten, Anti-de Sitter space and holography
1998
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Then

C. S. Chu, P. M. Ho and Y. Y. Wu, D instanton in AdS(5) and instanton in SYM(4)
1999
Later among the works it cites.
V. Balasubramanian, P. Kraus, A. E. Lawrence and S. P. Trivedi, Holographic probes of anti-de Sitter space-times
1999
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K. Skenderis, Lecture notes on holographic renormalization
2002
Later among the works it cites.

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