On `light' fermions and proton stability in `big divisor' D3/ D7 large volume compactifications
Abstract
Building on our earlier work (Misra and Shukla, Nucl. Phys. B 827:112, 2010; Phys. Lett. B 685:347352, 2010), we show the possibility of generating "light" fermion mass scales of MeVGeV range (possibly related to the first two generations of quarks/leptons) as well as eV (possibly related to first two generations of neutrinos) in type IIB string theory compactified on SwissCheese orientifolds in the presence of a mobile spacetime filling D3brane restricted to (in principle) stacks of fluxed D7branes wrapping the "big" divisor Σ _{ B }. This part of the paper is an expanded version of the latter half of Sect. 3 of a published short invited review (Misra, Mod. Phys. Lett. A 26:1, 2011) written by one of the authors [AM]. Further, we also show that there are no SUSY GUTtype dimensionfive operators corresponding to proton decay, and we estimate the proton lifetime from a SUSY GUTtype fourfermion dimensionsix operator to be 10^{61} years. Based on GLSM calculations in (Misra and Shukla, Nucl. Phys. B 827:112, 2010) for obtaining the geometric Kähler potential for the "big divisor," using further the Donaldson's algorithm, we also briefly discuss in the first of the two appendices the metric for the SwissCheese CalabiYau used, which we obtain and which becomes Ricci flat in the largevolume limit.
 Publication:

European Physical Journal C
 Pub Date:
 June 2011
 DOI:
 10.1140/epjc/s100520111662x
 arXiv:
 arXiv:1007.1157
 Bibcode:
 2011EPJC...71.1662M
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 v2: 1+25 pages, Title modified and text thoroughly expanded including a brief discussion on obtaining Ricciflat Swiss Cheese CalabiYau metrics using the Donaldson's algorithm, references added, to appear in EPJC