On D3-brane Dynamics at Strong Warping
Heng-Yu Chen, Yu Nakayama, Gary Shiu

TL;DR
This paper investigates the dynamics of a D3 brane in warped IIB compactifications, deriving the warped Kahler potential and addressing gauge coupling issues with backreaction considerations.
Contribution
It introduces a Hamiltonian approach to analyze D3 brane motion, incorporating both string fluctuations and backreaction effects in warped backgrounds.
Findings
Derived the warped Kahler potential for D3 brane dynamics
Addressed the holomorphic gauge coupling problem on wrapped D7 branes
Provided insights into backreaction effects in warped geometries
Abstract
We study the dynamics of a D3 brane in generic IIB warped compactifications, using the Hamiltonian formulation discussed in arXiv:0805.3700 [hep-th]. Taking into account of both closed and open string fluctuations, we derive the warped Kahler potential governing the motion of a probe D3 brane. By including the backreaction of D3, we also comment on how the problem of defining a holomorphic gauge coupling on wrapped D7 branes in warped background can be resolved.
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