Wavefunctions on magnetized branes in the conifold

Abstract

We study wavefunctions on D7-branes with magnetic fluxes in the conifold. Since some supersymmetric embeddings of D-branes on the AdS 5 × T 1,1 geometry are known, we consider one of the embeddings, especially the spacetime filling D7-branes in which (a part of) the standard model is expected to be realized. The explicit form of induced metric on the D7-branes allows us to solve the Laplace and Dirac equations to evaluate matter wavefunctions in extra dimensions analytically. We find that the zeromode wavefunctions can be localized depending on the configuration of magnetic fluxes on D7-branes, and show some phenomenological aspects.

Hierarchical structure of physical Yukawa couplings from matter field Kähler metric

“…Explicit calculations of zero-mode wavefunctions were performed on e.g., toroidal backgrounds with line bundles[13][14][15] and local 4-cycle on the conifold regime of CY threefold[16] in Type IIB string theory and smooth CY threefolds with large internal gauge fluxes[17] in the context of heterotic string theory.…”

Comprehensive analysis of Yukawa hierarchies onT2/ZNwith magnetic fluxes

“…A reasonable starting point is ten-dimensional (10D) super Yang-Mills (SYM) theory on magnetized tori [4][5][6][7][8][9][10], which could be an effective theory of superstring theories. 1 Note that various phenomenological aspects have been pursued: Yukawa couplings [8], realization of quark/lepton masses and their mixing angles [11,12], higher order couplings [13], flavor symmetries [14-20], massive modes [21], and others [22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Some related works in other stringy contexts (e.g., intersecting D-brane model and heterotic string theory) are found in [9,10,[36][37][38][39][40][41][42][43][44][45][46].…”