12,866 research outputs found
Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32) String Theory
We check some consistency conditions for the D9-anti-D9 system in type I
string theory. The gravitational anomaly and gauge anomaly for SO(n) x SO(m)
gauge symmetry are shown to be cancelled when n-m=32. In addition, we find that
a string theory with USp(n) x USp(m) gauge symmetry also satisfies the anomaly
cancellation conditions. After tachyon condensation, the theory reduces to a
tachyon-free USp(32) string theory, though there is no spacetime supersymmetry.Comment: 17 pages + 10 eps figures, LaTeX; minor corrections, reference added,
version to appear in Prog. Theor. Phy
Reflected rough differential equations
In this paper, we study reflected differential equations driven by continuous
paths with finite -variation () and -rough paths ()
on domains in Euclidean spaces whose boundaries may not be smooth. We define
reflected rough differential equations and prove the existence of a solution.
Also we discuss the relation between the solution to reflected stochastic
differential equation and reflected rough differential equation when the
driving process is a Brownian motion.Comment: This will appear in Stochastic Processes and their applications.
doi:10.1016/j.spa.2015.03.00
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