English

A new Ricci flat geometry

High Energy Physics - Theory 2010-04-05 v2

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 s0s\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.

Cite

@article{arxiv.hep-th/0501012,
  title  = {A new Ricci flat geometry},
  author = {Shesansu Pal},
  journal= {arXiv preprint arXiv:hep-th/0501012},
  year   = {2010}
}

Comments

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