A new Ricci flat geometry

preprint2005arXivOpen access

Abstract

We are proposing a new Ricci flat metric constructed from an infinite family of Sasaki-Einstein, Y(p,q)Y^{(p,q)}, geometries. This geometry contains a free parameter ss and in the s→0s\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 R3,1R^{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 S2×S3S^2\times S^3 goes logarithmically but the argument of Log function is different than has been found before.

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