Swiss Cheese D3-D7 Soft SUSY Breaking
Aalok Misra, Pramod Shukla

TL;DR
This paper explores the geometric and phenomenological aspects of Swiss-Cheese Calabi-Yau compactifications with D3 and D7-branes, deriving moduli-dependent potentials, mass hierarchies, and supersymmetry breaking features relevant for string phenomenology.
Contribution
It introduces a detailed geometric framework for D3-D7 systems in Swiss-Cheese Calabi-Yau compactifications, including new calculations of Kähler potentials, mass spectra, and supersymmetry breaking effects.
Findings
Achieved a geometric Kaehler potential in terms of genus-two Siegel theta functions.
Demonstrated the possibility of obtaining gravitino masses suitable for inflation and present era.
Derived mass hierarchies and universality conditions for moduli and matter fields.
Abstract
In type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau [11169] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (D_5) and supporting D7-brane fluxes, (i) using the toric data and GLSM techniques, we obtain the geometric Kaehler potential for D_5 in terms of genus-two Siegel theta functions; (ii) we show that as the D3-brane moves from a particular embedded non-singular elliptic curve to another one, it is possible to obtain 10^{12}GeV gravitino during the inflationary era as well as a TeV gravitino in the present era, for the same vol(CY)~10^6l_s^6; (iii) by constructing local appropriate involutively-odd harmonic one-form on D_5 that lies in the cokernel of the pullback of the immersion map, we show that it is possible to obtain an O(1) g_{YM} from the wrapping of D7-branes on D_5 due to…
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