33,937 research outputs found
Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
We study the charge response in complex frequency plane and the quasi-normal
modes (QNMs) of the boundary quantum field theory with momentum dissipation
dual to a probe generalized Maxwell system with Weyl correction. When the
strength of the momentum dissipation is small, the pole
structure of the conductivity is similar to the case without the momentum
dissipation. The qualitative correspondence between the poles of the real part
of the conductivity of the original theory and the ones of its electromagnetic
(EM) dual theory approximately holds when with
being the Weyl coupling parameter. While the strong momentum
dissipation alters the pole structure such that most of the poles locate at the
purely imaginary axis. At this moment, the correspondence between the poles of
the original theory and its EM dual one is violated when . In addition, for the dominant pole, the EM duality almost holds when
for all except for a small region of
.Comment: 18 pages, 9 figure
Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
In this paper we present a discrete, non-perturbative formulation for type
IIB string theory. Being a supersymmetric quiver matrix mechanics model in the
framework of M(atrix) theory, it is a generalization of our previous proposal
of compactification via orbifolding for deconstructed IIA strings. In the
continuum limit, our matrix mechanics becomes a -dimensional Yang-Mills
theory with 16 supercharges. At the discrete level, we are able to construct
explicitly the solitonic states that correspond to membranes wrapping on the
compactified torus in target space. These states have a manifestly
SL(2,\integer)-invariant spectrum with correct membrane tension, and give
rise to an emergent flat dimension when the compactified torus shrinks to
vanishing size.Comment: LaTeX 2e; 39 pages, 3 eps figures. v2: typos corrected; references
added; identification of certain membrane states added. v3: minor corrections
on membrane state
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