Coarse-graining quivers
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Abstract
We describe a block-spin-like transformation on a simplified subset of the
space of supersymmetric quiver gauge theories that arise on the worldvolumes of
D-brane probes of orbifold geometries, by sequentially Higgsing the gauge
symmetry in these theories. This process flows to lower worldvolume energies in
the regions of the orbifold moduli space where the closed string blowup modes,
and therefore the expectation values of the bifundamental scalars, exhibit a
hierarchy of scales. Lifting to the ``upstairs'' matrices of the image branes
makes contact with the matrix coarse-graining defined in a previous paper. We
describe the structure of flows we observe under this process. The quiver
lattice for $\BC^2/\BZ_N$ in this region of moduli space deconstructs an
inhomogeneous, fractal-like extra dimension, in terms of which our construction
describes a coarse-graining of the deconstruction lattice.
Type
Journal articlePermalink
https://hdl.handle.net/10161/19595Collections
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Show full item recordScholars@Duke
M. Ronen Plesser
Professor of Physics
My research is in String Theory, the most ambitious attempt yet at a comprehensive
theory of the fundamental structure of the universe. In some (rather imprecise) sense,
string theory replaces the particles that form the fundamental building blocks for
conventional theories (the fields, or wave phenomena, we observe are obtained starting
from particles when we apply the principles of quantum mechanics) with objects that
are not point-like but extended in one dimension – strings. At present, th

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