String Tensions and Three Dimensional Confining Gauge Theories
نویسندگان
چکیده
In the context of gauge/gravity duality, we try to understand better the proposed duality between the fractional D2-brane supergravity solutions of (Nucl. Phys. B 606 (2001) 18, hep-th/0101096) and a confining 2+ 1 dimensional gauge theory. Based on the similarities between this fractional D2-brane solution and D3-brane supergravity solutions with more firmly established gauge theory duals, we conjecture that a confining q-string in the 2 + 1 dimensional gauge theory is dual to a wrapped D4-brane. In particular, the D4-brane looks like a string in the gauge theory directions but wraps a S ⊂ S in the transverse geometry. For one of the supergravity solutions, we find a near quadratic scaling law for the tension: T ∼ q (N − q). Based on the tension, we conjecture that the gauge theory dual is SU(N) far in the infrared. We also conjecture that a quadratic or near quadratic scaling is a generic feature of confining 2 + 1 dimensional SU(N) gauge theories.
منابع مشابه
High Temperature Confinement in SU(N) Gauge Theories
SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass m. Lattice simulations indicate that this confining region is smoothly connected to the confining region of low-temperature pure SU(N) gauge theory. In the high temperature confining region, the one-loop effective potential for Polyakov ...
متن کاملk-string tensions in SU(N) gauge theories
In the context of four-dimensional SU(N) gauge theories, we study the spectrum of the confining strings. We compute, for the SU(6) gauge theory formulated on a lattice, the three independent string tensions σk related to sources with ZN charge k = 1, 2, 3, using Monte Carlo simulations. Our results support the sine formula σk/σ = sin k π N / sin π N for the ratio between σk and the standard str...
متن کاملar X iv : 0 71 0 . 04 88 v 1 [ he p - la t ] 2 O ct 2 00 7 On the ratio of string tensions in the 3 D Z 4 lattice gauge theory
It was recently pointed out that simple scaling properties of Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of k-string tensions in the low temperature region is constant up to terms of order T 3. Here we argue that, at least in a three-dimensional Z4 gauge model, the above ratios are constant in the whole confining phase. This result is obtained...
متن کاملOn String Tensions in Supersymmetric Gauge Theory
In some models of N = 1 supersymmetric SU(M) gauge dynamics (hepth/9503163 and hep-th/9707244), the tension of a string ending on q external quarks is proportional to sin(πq/M), q = 1, . . . ,M − 1. In this paper we calculate the ratios of the q-string tensions using the recently derived type IIB gravity duals of N = 1 SUSY gauge theories. Far in the IR these gravity duals contain an S with M u...
متن کاملSpectrum of confining strings in SU(N) gauge theories
We study the spectrum of the confining strings in four-dimensional SU(N) gauge theories. We compute, for the SU(4) and SU(6) gauge theories formulated on a lattice, the string tensions σk related to sources with ZN charge k, using Monte Carlo simulations. Our results are consistent with the sine formula σk/σ = sin k π N / sin π N for the ratio between σk and the standard string tension σ. For t...
متن کامل