On the Equivalence of Bound State Solutions
Abstract
In this paper we show the equivalence of various (nonthreshold) bound state solutions of branes, or equivalently branes in background potentials, in ten- and eleven-dimensional supergravity. We compare solutions obtained in two very different ways. One method uses a zero mode analysis to make an ansatz which makes it possible to solve the full nonlinear supergravity equations. The other method utilizes T duality techniques to turn on the fields on the brane. To be specific, in eleven dimensions we show the equivalence for the (M2,M5) bound state, or equivalently an M5-brane in a C(3) field, where we also consider the (MW,M2,M2‧,M5) solution, which can be obtained from the (M2,M5) bound state by a boost. In ten dimensions we show the equivalence for the ((F,D1),D3) bound states as well as the bound states of (p,q) five-branes with lower dimensional branes in type IIB, corresponding to D3-branes in B(2) and C(2) fields and (p,q) five-branes in B(2), C(2) and C(4) fields. We also comment on the recently proposed V duality related to infinitesimally boosted solutions.
- Publication:
-
International Journal of Modern Physics A
- Pub Date:
- 2003
- DOI:
- 10.1142/S0217751X03016045
- arXiv:
- arXiv:hep-th/0108113
- Bibcode:
- 2003IJMPA..18.3469G
- Keywords:
-
- p-branes;
- D-branes;
- M theory;
- High Energy Physics - Theory
- E-Print:
- 19 pages, LaTeX