An orientifold of \(AdS_{5} \times T^{11}\) with D7-branes, the associated \(\alpha^{'2}\)-corrections and their role in the dual \(\mathcal N = 1 sp(2N+2M) \times sp(2N)\) gauge theory. (English) Zbl 1226.81229
Summary: We study the \(\mathcal N= 1\) \(Sp(2N+2M) \times Sp(2N)\) gauge theory on a stack of \(N\) physical and \(M\) fractional D3-branes in the background of an orientifolded conifold. The gravity dual is a type-IIB orientifold of \(AdS_{5} \times T^{11}\) (with certain background fluxes turned on) containing an O7-plane and 8 D7-branes. In the conformal case \((M = 0)\), we argue that the \(\alpha ^{'2}\)-terms localized on the 8 D7-branes and the O7-plane should give vanishing contributions to the supergravity equations of motion for the bulk fields. In the cascading case (\(M\neq 0\)), we argue that the \(\alpha^{'2}\)-terms give rise to corrections which in the dual \(Sp(2N+M) \times Sp(2N)\) gauge theory can be interpreted as corrections to the anomalous dimensions of the matter fields.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E30 | String and superstring theories in gravitational theory |
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