D 3 -Brane Model Building and the Supertrace Rule
Abstract
A common way to obtain standard-model-like Lagrangians in string theory is to place D 3 -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 D 3 -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 D 3 -branes for constructing computationally controllable models for physics beyond the standard model problematic.
- Publication:
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Physical Review Letters
- Pub Date:
- April 2016
- DOI:
- 10.1103/PhysRevLett.116.141601
- arXiv:
- arXiv:1510.07039
- Bibcode:
- 2016PhRvL.116n1601B
- Keywords:
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- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 4 pages. v2: minor changes