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Kory Stiffler
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Holographic k-string Tensions in Higher Representations and Luescher Term Universality
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The Luescher string is a quark-antiquark pair
stretched far apart, thus exhibiting a tension.
The k-string is m Luescher strings placed
with their quark sides close to the antiquark
side of n Luscher strings, exhibiting a k-string
tension with k = |m - n|. We have been examining
the holographic dual description of these
objects for some time, where a probe D-brane
embedded in a supergravity background is
the holographic dual description of a k-string
in an SU(N) gauge theory. Previously, we
focused on the low energy anti-symmetric
k-string representation. In this talk, we
explain our most recent publication where
we extended this holographic analysis to
higher energy, symmetric representations.
We also comment on the universality of the
Luescher term, which seems to be independent
of k whether calculated directly in the gauge
theory or in the holographic supergravity
theory.
We investigate a holographic description
of k-strings in higher representations via
D5 branes with worldvolume fluxes. The D-brane
configurations are embedded in supergravity
backgrounds dual to confining field theories
in 3 and 4 dimensions. We compute the tensions
and find qualitative agreement for the totally
symmetric and totally anti-symmetric representations
with the results of other methods such as
lattice as well as the Hamiltonian approach
of Karabali and Nair. A one-loop computation
on the D-brane configurations yields the
Luˆscher term and allows us to confirm a
previously proposed universal expression
following from holography.
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