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arXiv · 1510.07039

D3-brane model building and the supertrace rule

Iosif Bena·Mariana Graña·Stanislav Kuperstein·Praxitelis Ntokos·Michela Petrini
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Abstract

A common way to obtain standard-model-like Lagrangians in string theory is to place D3-branes inside flux compactifications. The bosonic and fermionic masses and couplings of the resulting gauge theory are determined by the ten-dimensional metric and the fluxes, respectively, and the breaking of supersymmetry is soft. However, not any soft-supersymmetry-breaking Lagrangian can be obtained this way since the string theory equations of motion impose certain relations between the soft couplings. We show that for D3-branes in background fluxes, these relations imply that the sums of the squares of the boson and of the fermion masses are equal and that, furthermore, one- and two-loop quantum corrections do not spoil this equality. This makes the use of D3-branes for constructing computationally controllable models for physics beyond the standard model problematic.

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Iosif Bena, Mariana Graña, Stanislav Kuperstein, Praxitelis Ntokos, Michela Petrini. 2016-04-06. D3-brane model building and the supertrace rule. https://doi.org/10.1103/physrevlett.116.141601

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