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Abstract
Scalar field theories with appropriate potentials in Minkowski space can have time-dependent classical solutions containing topological defects which correspond to S-branes - i.e. branes all of whose tangential dimensions are spacelike. It is argued that such S-branes arise in string theory as time-dependent solutions of the worldvolume tachyon field of an unstable D-brane or D-brane-anti-D-brane pair. Using the known coupling of the spacetime RR fields to the worldvolume tachyon it is shown that these S-branes carry a charge, defined as the integral of a RR field strength over a sphere (containing a time as well as spatial dimensions) surrounding the S-brane. This same charge is carried by SD-branes, i.e. Dirichlet branes arising from open string worldsheet conformal field theories with a Dirichlet boundary condition on the timelike dimension. The corresponding SD-brane boundary state is constructed. Supergravity solutions carrying the same charges are also found for a few cases.
Highlights
Charged S-branesWe wish to consider the possibility of adding adding axion charge to the 1-brane, associated to the three-form field strength H = dB
Scalar field theories with appropriate potentials in Minkowski space can have timedependent classical solutions containing topological defects which correspond to S-branes - i.e. branes all of whose tangential dimensions are spacelike
Using the known couplings of the open string tachyon to the RR fields, one concludes that this configuration carries the same kind of charge2 as that carried by a spacelike D2brane
Summary
We wish to consider the possibility of adding adding axion charge to the 1-brane, associated to the three-form field strength H = dB. This is accomplished via the coupling g B ∧ dj,. The axion charge is defined by the integral of ∗H over a spatial contour encircling the string. For example consider an S0-brane in D=4 which has codimension three This can be coupled to a Maxwell field, which obeys dF = 0, d†F = dzδ(t)δ(x)δ(y),. In general odd (even) codimension solutions will be supported in (on) the light cone. Evolving backward in time from t = 0, one arrives at an initial state of incoming radiation with no current in the wire. The charge measured by the integral of ∗F over the S2 is given by the number of electrons which cross any three-dimensional ball whose boundary is the S2
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