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Moduli Space Metric of N = 2 Supersymmetric SU(N) Gauge Theory and the Enhancon
, 2002
"... We compute the moduli space metric of SU(N) YangMills theory with N = 2 supersymmetry in the vicinity of the point where the classical moduli vanish. This gauge theory may be realized as a set of N D7branes wrapping a K3 surface, near the enhancon locus. The moduli space metric determines the low ..."
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We compute the moduli space metric of SU(N) YangMills theory with N = 2 supersymmetry in the vicinity of the point where the classical moduli vanish. This gauge theory may be realized as a set of N D7branes wrapping a K3 surface, near the enhancon locus. The moduli space metric determines the lowenergy worldvolume dynamics of the D7 branes near this point, including stringy corrections. Nonabelian gauge symmetry is not restored on the worldvolume at the enhancon point, but rather the gauge group remains U(1) N−1 and light electric and magnetically charged particles coexist. We also study the moduli space metric for a single probe brane in the background of N − 1 branes near the enhancon point. We find quantum corrections to the supergravity probe metric that are not suppressed at large separations, but are down by 1/N factors, due to the response of the N − 1 enhancon branes to the probe. A singularity appears before the probe reaches the enhancon point where a dyon becomes massless. We compute the masses of Wbosons and monopoles in a large N limit near this critical point. March
hepth/0204196 UPR989T Open Strings From N = 4 Super YangMills
, 2004
"... Exploiting insights on strings moving in ppwave backgrounds, we show how open strings emerge from N = 4 SU(N) YangMills theory as fluctuations around certain states carrying Rcharge of order N. These states are dual to spherical D3branes of AdS5 × S 5 and we reproduce the spectrum of small fluct ..."
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Exploiting insights on strings moving in ppwave backgrounds, we show how open strings emerge from N = 4 SU(N) YangMills theory as fluctuations around certain states carrying Rcharge of order N. These states are dual to spherical D3branes of AdS5 × S 5 and we reproduce the spectrum of small fluctuations of these states from YangMills theory. We discuss the emergence of the G 2 light degrees of freedom expected when G such D3branes nearly coincide. The open strings running between the branes can be quantized easily in a Penrose limit of the spacetime. Taking the corresponding large charge limit of the YangMills theory, we reproduce the open string worldsheets and their spectra from field theory degrees of freedom. 1
BROWNHET1313 Probing the Enhancon via Calculations in Supersymmetric Gauge Theory
, 2002
"... We consider the N = 2 gauge theory on N D7branes wrapping K3, with D3brane probes. In the large N limit, the D7branes blow up to form an enhancon shell. We probe the region inside and outside the enhancon shell using the D3branes, and compute the probe metric using the SeibergWitten formalism. S ..."
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We consider the N = 2 gauge theory on N D7branes wrapping K3, with D3brane probes. In the large N limit, the D7branes blow up to form an enhancon shell. We probe the region inside and outside the enhancon shell using the D3branes, and compute the probe metric using the SeibergWitten formalism. Supergravity arguments suggest a flat interior up to 1/N corrections, and indeed our results for the D3brane probes are consistent with that. By including the dynamics of the branes, these results, together with those of hepth/0204050, demonstrate the robustness of the enhancon mechanism beyond patching together of supergravity One of the most important questions that a consistent theory of quantum gravity should answer is how spacetime singularities are to be resolved. This is of particular importance in cosmology, where we believe the big bang emerged from a spacelike or null singularity. In the present paper we will consider the resolution of timelike singularities in string
Noncritical superstrings from . . .
, 2005
"... We study largeN doublescaling limits of U(N) gauge theories in four dimensions. We focus on theories in a partially confining phase where an abelian subgroup ˆ G of the gauge group remains unconfined. Doublescaling is defined near critical points in the parameter/moduli space where states charged ..."
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We study largeN doublescaling limits of U(N) gauge theories in four dimensions. We focus on theories in a partially confining phase where an abelian subgroup ˆ G of the gauge group remains unconfined. Doublescaling is defined near critical points in the parameter/moduli space where states charged under ˆ G become massless. In specific cases, we present evidence that the doublescaled theory is dual to a noncritical superstring background. Models studied include the βdeformation of N = 4 SUSY YangMills which leads to a noncritical string theory with sixteen supercharges. We also study N = 1 SUSY YangMills theory coupled to a single chiral superfield with a polynomial superpotential which leads to a related string theory with eight supercharges. In both cases the string coupling is small and the background is free from RamondRamond flux.
Double scaling limits in gauge theories and . . .
, 2006
"... We show that N = 1 gauge theories with an adjoint chiral multiplet admit a wide class of largeN doublescaling limits where N is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an ArgyresDouglastype singularity where a ..."
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We show that N = 1 gauge theories with an adjoint chiral multiplet admit a wide class of largeN doublescaling limits where N is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an ArgyresDouglastype singularity where a set of nonlocal dibaryons becomes massless in conjunction with a set of confining strings becoming tensionless. The doublyscaled theory consists of two decoupled sectors, one whose spectrum and interactions follow the usual largeN scaling whilst the other has light states of fixed mass in the largeN limit which subvert the usual largeN scaling and lead to an interacting theory in the limit. Fterm properties of this interacting sector can be calculated using a DijkgraafVafa matrix model and in this context the doublescaling limit is precisely the kind investigated in the “old matrix model ” to describe twodimensional gravity coupled to c < 1 conformal field theories. In particular, the old matrix model doublescaling limit describes a sector of a gauge theory with a mass gap and light mesonlike composite states, the approximate Goldstone boson of superconformal invariance, with a mass which is fixed in the doublescaling limit. Consequently, the gravitational Fterms in these cases satisfy the string equation of the KdV hierarchy.