Loop Fayet-Iliopoulos terms in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>T</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> models: Instability and moduli stabilization
Hiroyuki Abé, Tatsuo Kobayashi, Shohei Uemura, Junji Yamamoto
Abstract
We study Fayet-Iliopoulos (FI) terms of six-dimensional supersymmetric Abelian gauge theory compactified on a ${T}^{2}/{Z}_{2}$ orbifold. Such orbifold compactifications can lead to localized FI-terms and instability of bulk zero modes. We study 1-loop correction to FI-terms in more general geometry than the previous works. We find induced FI-terms depend on the complex structure of the compact space. We also find the complex structure of the torus can be stabilized at a specific value corresponding to a self-consistent supersymmetric minimum of the potential by such 1-loop corrections, which is applicable to the modulus stabilization.
Topics & Concepts
OrbifoldTorusAbelian groupSupersymmetrySpace (punctuation)Zero (linguistics)PhysicsMathematicsMathematical physicsGeometryCombinatoricsComputer scienceLinguisticsPhilosophyOperating systemBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies