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Wrapped D-branes as BPS monopoles: The moduli space perspective

Jessica K. Barrett*

Clifford V. Johnson†

  • Centre for Particle Theory, Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom

  • Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90084-0484, USA
  • Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA

  • *Email address: j.k.barrett@durham.ac.uk
  • †Email address: johnson1@usc.edu; johnson1@kitp.ucsb.edu
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Phys. Rev. D 69, 126005 – Published 29 June, 2004

DOI: https://doi.org/10.1103/PhysRevD.69.126005

Abstract

We study the four dimensional effective action of a system of D6-branes wrapped on the K3 manifold times a torus, allowing the volume of the internal manifolds to remain dynamical. An unwrapped brane is at best a Dirac monopole of the dual RR sector field to which it couples. After wrapping, a brane is expected to behave as a BPS monopole, where the Higgs vacuum expectation value is set by the size of the K3. We determine the moduli space of an arbitrary number of these wrapped branes by introducing a time dependent perturbation of the static solution and expanding the supergravity equations of motion to determine the dynamics of this perturbation, in the low velocity limit. The result is the hyper-Kähler generalization of the Euclidean Taub-NUT metric presented by Gibbons and Manton. We note that our results also pertain to the behavior of bound states of Kaluza-Klein monopoles and wrapped NS5-branes in the T4 compactified heterotic string.

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Phys. Rev. D 69, 126005– Published 29 June, 2004
  • Received 15 December 2003

© 2004 American Physical Society

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