Dimensional Reduction for D3-brane Moduli

Sep 19, 2016
52 pages
Published in:
  • JHEP 12 (2016) 139
  • Published: Dec 28, 2016
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Abstract: (arXiv)
Warped string compactifications are central to many attempts to stabilize moduli and connect string theory with cosmology and particle phenomenology. We present a first-principles derivation of the low-energy 4D effective theory from dimensional reduction of a D3-brane in a warped Calabi-Yau compactification of type IIB string theory with imaginary self-dual 3-form flux, including effects of D3-brane motion beyond the probe approximation, and find the metric on the moduli space of brane positions, the universal volume modulus, and axions descending from the 4-form potential. As D3-branes may be considered as carrying either electric or magnetic charges for the self-dual 5-form field strength, we present calculations in both duality frames. Our results are consistent with, but extend significantly, earlier results on the low-energy effective theory arising from D3-branes in string compactifications.
Note:
  • 37 pp + appendices; v2. typographical fixes, clarified section 4.2.3; v3. minor edits, added clarifications
  • Flux compactifications
  • D-branes
  • compactification: Calabi-Yau
  • moduli: stability
  • D-brane: 3
  • dimensional reduction
  • string model: Type IIB
  • self-duality
  • moduli space
  • energy: low