# Large Volume Cosmo-Pheno Reconciliation mu-Split SUSY and Ricci-flat Swiss Cheese Metrics

**When:**Friday, May 20, 2011 at 4:00 pm

**Where:**DA 114

**Speaker**: Professor Aalok Misra

**Organization**: Indian Institute of Technology Roorkee, Department of Physics

**Sponsor**: Physics Seminar

Starting with a summary of our previous work on obtaining axionic slow inflation with the correct number of 60 e-foldings getting non-trivial non-Gaussianities-related f_{NL} in slow-roll and beyond slow-roll scenarios as well as non-trivial tensor-to-scalar ratio in axionic slow-roll inflation in the framework of type IIB string theory compactified on an orientifold of a Swiss-Cheese Calabi-Yau expressed as a degree-18 hypersurface in the weighted complex projective space WCP^4[1 1 6 9] after the inclusion of a mobile space-time filling D3-brane and fluxed [stack(s) of] space-time filling D7-brane(s) wrapping the ”big” (as opposed to the ”small”) divisor we give a geometric proposal for obtaining a super-massive gravitino in the inflationary epoch and a “light” gravitino in the present era in a single setup. We also show that the setup naturally realizes a “mu-split supersymmetry scenario” wherein having restricted the mobile D3-brane to the big divisor one obtains super-massive D3-brane positon moduli – identified as the two Higgs doublets – at the string scale and after 1-loop Nath-Arnowitt RG-evolution to the EW scale one obtains one light and one super-massive Higgs doublet. Also the fermions (quarks/leptons) corresponding to the fermionic super-partners of the Wilson line moduli are very light but the Higgsino mass parameter is very large. I also discuss issues like neutrino masses gluino and proton decays. As a bonus I will discuss obtaining the geometric Kaehler potential (relevant to the moduli space Kaehler potential in the presence of a mobile D3-brane) corresponding to a Ricci-flat metric for the Swiss-Cheese Calabi-Yau used in the large volume limit using Gauged Linear Sigma Model techniques for obtaining the geometric Kaehler potential for the big divisor and the Donaldson’s algorithm for obtaining Ricci-flat metics as guides.

Host: Professor Pran Nath