A new Ricci flat geometry

Abstract

We are proposing a new Ricci flat metric constructed from an infinite family of Sasaki-Einstein, $Y^{(p,q)}$, geometries. This geometry contains a free parameter $s$ and in the $s\to 0$ limit we get back the usual CY. When this geometry is probed both by a stack of D3 and fractional D3 branes then the corresponding supergravity solution is found which is a warped product of this new 6-dimensional geometry and the flat $R^{3,1}$. This solution in the specific limit as mentioned above reproduces the solution found in hep-th/0412193. The integrated five-form field strength over $S^2\times S^3$ goes logarithmically but the argument of Log function is different than has been found before.

7pp, Kahlerian behavior is mentioned in section 2, along with two references and a note

References in corpus (5)

• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• New checks and subtleties for AdS/CFT and a-maximization
• Evidence for the Strongest Version of the 4d a-Theorem, via a-Maximization Along RG Flows
• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
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Cited by in corpus (17)

• Gauge Theories from Toric Geometry and Brane Tilings
• Gauge/Gravity Duality and Warped Resolved Conifold
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• A New Infinite Class of Quiver Gauge Theories
• Conformal Manifolds for the Conifold and other Toric Field Theories
• Explicit Toric Metric on Resolved Calabi-Yau Cone
• Marginal Deformations with U(1)^3 Global Symmetry
• The Gauge/Gravity Theory of Blown up Four Cycles
• Towards Supergravity Duals of Chiral Symmetry Breaking in Sasaki-Einstein Cascading Quiver Theories
• Sasakian Geometry, Holonomy, and Supersymmetry
• Branes in $L^{(p,q,r)}$
• Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories
• Supersymmetric solutions based on Y^{p,q} and L^{p,q,r}
• Massless fermionic bound states and the gauge/gravity correspondence
• Warped Resolved L^{a,b,c} Cones
• Renormalization group flows in gauge-gravity duality
• Brane Resolution Through Fibration