Towards SDp-brane Quantization
H. Garcia-Compean, G. Garcia-Jimenez, O. Obregon, C. Ramirez
TL;DR
This paper presents a quantum analysis of SDp-branes in Type II supergravity, solving the Wheeler-deWitt equation to find exact solutions and exploring the effects of electromagnetic fields on tachyon interpretation.
Contribution
It provides the first exact quantum solutions for SDp-branes and examines how electromagnetic fields alter the tachyon as a matter clock in a homogeneous background.
Findings
Exact solutions to Wheeler-deWitt equation for SDp-branes
Probability densities for different p values analyzed
Electromagnetic fields modify tachyon interpretation as matter clock
Abstract
The quantum mechanical analysis of the canonical hamiltonian description of the effective action of a SDp-brane in bosonic ten dimensional Type II supergravity in a homogeneous background is given. We find exact solutions for the corresponding quantum theory by solving the Wheeler-deWitt equation in the late-time limit of the rolling tachyon. The probability densities for several values of p are shown and their possible interpretation is discussed. In the process the effects of electromagnetic fields are also incorporated and it is shown that in this case the interpretation of tachyon regarded as ``matter clock'' is modified.
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