3,675 research outputs found
Non-critical supergravity (d>1) and holography
In this paper we investigate the supergravity equations of motion associated
with non-critical () type II string theories that incorporate RR forms.
Using a superpotential formalism we determine several classes of solutions. In
particular we find analytic backgrounds with a structure of and numerical solutions that asymptote a linear dilaton with a
topology of . The SUGRA solutions we have found
can serve as anti holographic descriptions of gauge theories in a large
limit which is different than the one of the critical gauge/gravity duality. It
is characterized by N\rt \infty and . We have made the
first steps in analyzing the corresponding gauge theory properties like Wilson
loops and the glue-ball spectra.Comment: 48 pages, JHEP style, 11 figure
Non-critical, near extremal AdS_6 background as a holographic laboratory of four dimensional YM theory
We study certain properties of the low energy regime of a theory which
resembles four dimensional YM theory in the framework of a non-critical
holographic gravity dual. We use for the latter the near extremal
non-critical SUGRA. We extract the glueball spectra that associates with the
fluctuations of the dilaton, one form and the graviton and compare the results
to those of the critical near extremal model and lattice simulations. We
show an area law behavior for the Wilson loop and screening for the 't Hooft
loop. The Luscher term is found to be . We derive the
Regge trajectories of glueballs associated with the spinning folded string
configurations.Comment: 25 pages, JHEP styl
Static Potential in N=4 Supersymmetric Yang-Mills Theory
We compute the leading order perturbative correction to the static potential
in supersymmetric Yang-Mills theory. We show that the perturbative
expansion contains infrared logarithms which, when resummed, become logarithms
of the coupling constant. The resulting correction goes in the right direction
to match the strong coupling behavior obtained from the AdS/CFT correspondence.
We find that the strong coupling extrapolation of the sum of ladder diagrams
goes as , as in the supergravity approach.Comment: 8 pages, four figures using feynm
RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM
We determine the exact beta function and a RG flow Lyapunov function for N=2
SYM with gauge group SU(n). It turns out that the classical discriminants of
the Seiberg-Witten curves determine the RG potential. The radial
irreversibility of the RG flow in the SU(2) case and the non-perturbative
identity relating the -modulus and the superconformal anomaly, indicate the
existence of a four dimensional analogue of the c-theorem for N=2 SYM which we
formulate for the full SU(n) theory. Our investigation provides further
evidence of the essentially topological nature of the theory.Comment: 9 pages, LaTeX file. Discussion on WDVV and integrability. References
added. Version published in PR
Nonperturbative Relations in N=2 SUSY Yang-Mills and WDVV equation
We find the nonperturbative relation between , the prepotential and the
vevs in supersymmetric Yang-Mills theories with
gauge group . Nonlinear differential equations for including
the Witten -- Dijkgraaf -- Verlinde -- Verlinde equation are obtained. This
indicates that SYM theories are essentially topological field theories
and that should be seen as low-energy limit of some topological string theory.
Furthermore, we construct relevant modular invariant quantities, derive
canonical relations between the periods and investigate the structure of the
beta function by giving its explicit form in the moduli coordinates. In doing
this we discuss the uniformization problem for the quantum moduli space. The
method we propose can be generalized to supersymmetric Yang-Mills
theories with higher rank gauge groups.Comment: 12 pages, LaTex. Expanded version. New results, corrections,
references and acknowledgements adde
Supersymmetric Wilson loops in diverse dimensions
archiveprefix: arXiv primaryclass: hep-th reportnumber: AEI-2009-036, HU-EP-09-15 slaccitation: %%CITATION = ARXIV:0904.0455;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: AEI-2009-036, HU-EP-09-15 slaccitation: %%CITATION = ARXIV:0904.0455;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: AEI-2009-036, HU-EP-09-15 slaccitation: %%CITATION = ARXIV:0904.0455;%
A Soluble String Theory of Hadrons
We consider Penrose limits of the Klebanov-Strassler and Maldacena-Nunez
holographic duals to N =1 supersymmetric Yang-Mills. By focusing in on the IR
region we obtain exactly solvable string theory models. These represent the
nonrelativistic motion and low-lying excitations of heavy hadrons with mass
proportional to a large global charge. We argue that these hadrons, both
physically and mathematically, take the form of heavy nonrelativistic strings;
we term them "annulons." A simple toy model of a string boosted along a compact
circle allows us considerable insight into their properties. We also calculate
the Wilson loop carrying large global charge and show the effect of confinement
is quadratic, not linear, in the string tension.Comment: 40 pages, 1 figure; v2: typos correcte
Exotic Non-Supersymmetric Gauge Dynamics from Supersymmetric QCD
We extend Seiberg's qualitative picture of the behavior of supersymmetric QCD
to nonsupersymmetric models by adding soft supersymmetry breaking terms. In
this way, we recover the standard vacuum of QCD with flavors and
colors when . However, for , we find new exotic
states---new vacua with spontaneously broken baryon number for , and
a vacuum state with unbroken chiral symmetry for . These exotic
vacua contain massless composite fermions and, in some cases, dynamically
generated gauge bosons. In particular Seiberg's electric-magnetic duality seems
to persist also in the presence of (small) soft supersymmetry breaking. We
argue that certain, specially tailored, lattice simulations may be able to
detect the novel phenomena. Most of the exotic behavior does not survive the
decoupling limit of large SUSY breaking parameters.Comment: 36 pages, latex + 2 figures (uuencoded ps
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