Topological masses from broken supersymmetry
Mar, 200433 pages
Published in:
- Nucl.Phys.B 695 (2004) 103-131
e-Print:
- hep-th/0403293 [hep-th]
Report number:
- CERN-PH-TH-2004-060,
- CERN-PH-TH-2004-60
Citations per year
Abstract: (Elsevier)
We develop a formalism for computing one-loop gravitational corrections to the effective action of D-branes. In particular, we study bulk to brane mediation of supersymmetry breaking in models where supersymmetry is broken at the tree-level in the closed string sector (bulk) by Scherk–Schwarz boundary conditions, while it is realized on a collection of D-branes in a linear or non-linear way. We compute the gravitational corrections to the fermion masses m 1/2 (gauginos or goldstino) induced from the exchange of closed strings, which are non-vanishing for world-sheets with Euler characteristic −1 (“genus 3/2”) due to a string diagram with one handle and one hole. We show that the corrections have a topological origin and that in general, for a small gravitino mass, the induced mass behaves as m 1/2 ∝ g 4 m 3/2 , with g the gauge coupling. In generic orbifold compactifications however, this leading term vanishes as a consequence of cancellations caused by discrete symmetries, and the remainder is exponentially suppressed by a factor of exp(−1/ α ′ m 2 3/2 ).- supersymmetry: symmetry breaking
- membrane model: D-brane
- effective action
- mass: topological
- fermion: mass
- gravitation: correction
- string model
- moduli space
- group theory: modular
- partition function
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