2,206 research outputs found
Holography and CFT on Generic Manifolds
In this paper it is shown how the AdS/CFT correspondence extends to a more
general situation in which the first theory is defined on (d+1)-dimensional
manifold defined as the filling in of a compact d-dimensional
manifold M. The stability of the spectral correspondence mass/conformal-weight
under such geometry changes is also proven.Comment: 8+1 pages, no figures, misprints correcte
The geometry of the M5-branes and TQFTs
The calculation of the partition function for N M5-branes is addressed for
the case in which the worldvolume wraps a manifold , where
is simply connected and Kaehler. This is done in a compactification of M-theory
which induces the Vafa-Witten theory on in the limit of vanishing torus
volume. The results follow from the equivalence of the BPS spectrum counting in
the complementary limit of vanishing volumes and from a classification of
the the moduli space of quantum vacua of the supersymmetric twisted theory in
terms of associated spectral covers. This reduces the problem of the moduli
counting to algebraic equations.Comment: 17+1 pages, LaTeX file; v2 misprints corrected and clarifications
added, final version to appear in Journal of Geometry and Physic
The M5-brane on K3 and del Pezzo's and multi-loop string amplitudes
We study the BPS spectrum of Little String Theory for bound states of
M5-branes wrapped on six manifold of product topology and
the apparence of multi-loop -functions in a supersymmetric index
calculation. We find a total reconstruction of the g-loop heterotic
contribution in the case of a double K3 M-theory compactification. Moreover, we
consider total wrapping of M5-branes on del Pezzo surfaces and, by
studying the relevant amplitude, we notice the arising of -functions
relative to BPS strings on , i.e. membranes on . This happens
because of beautiful relations between four dimensional SYM theories and CFTs
in two dimensions and seems to be linked to a duality recently observed by
A.Iqbal, A.Neitzke and C.Vafa in.Comment: 1+14 pages; v2: misprints corrected, clarifications and one reference
adde
Topological Gauge Theories on Local Spaces and Black Hole Entropy Countings
We study cohomological gauge theories on total spaces of holomorphic line
bundles over complex manifolds and obtain their reduction to the base manifold
by U(1) equivariant localization of the path integral. We exemplify this
general mechanism by proving via exact path integral localization a reduction
for local curves conjectured in hep-th/0411280, relevant to the calculation of
black hole entropy/Gromov-Witten invariants. Agreement with the
four-dimensional gauge theory is recovered by taking into account in the latter
non-trivial contributions coming from one-loop fluctuations determinants at the
boundary of the total space. We also study a class of abelian gauge theories on
Calabi-Yau local surfaces, describing the quantum foam for the A-model,
relevant to the calculation of Donaldson-Thomas invariants.Comment: 17 page
From BRST to light-cone description of higher spin gauge fields
In this short note we show, at the level of action principles, how the
light-cone action of higher spin gauge fields can easily be obtained from the
BRST formulation through the elimination of quartets. We analyze how the
algebra of cohomology classes is affected by such a reduction. By applying the
reduction to the Poincare generators, we give an alternative way of analyzing
the physical spectrum of the Fronsdal type actions, with or without trace
condition.Comment: 13 pages Latex file, Proceedings of the Workshop "Quantum Field
Theory and Hamiltonian Systems'', Caciulata, Romania, 16 - 21 Oct, 2004; more
references added, acknowledgments correcte
Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
The recently rigorously proved nonperturbative relation between u and the
prepotential, underlying N=2 SYM with gauge group SU(2), implies both the
reflection symmetry and
which hold exactly. The relation also implies that is the inverse of the
uniformizing coordinate u of the moduli space of quantum vacua. In this
context, the above quantum symmetries are the key points to determine the
structure of the moduli space. It turns out that the functions a(u) and a_D(u),
which we derive from first principles, actually coincide with the solution
proposed by Seiberg and Witten. We also consider some relevant generalizations.Comment: 12 pg. LaTex, Discussion of the generalization to higher rank groups
added. To be published in Phys. Rev.
Conifold geometries, matrix models and quantum solutions
This paper is a continuation of hepth/0507224 where open topological B-models
describing D-branes on 2-cycles of local Calabi--Yau geometries with conical
singularities were studied. After a short review, the paper expands in
particular on two aspects: the gauge fixing problem in the reduction to two
dimensions and the quantum matrix model solutions.Comment: 17 p. To appear in proc. Symposium QTS-4, Varna (Bulgaria), August
200
Matrix String Theory, 2D SYM Instantons and affine Toda systems
Extending a recent result of S.B. Giddings, F. Hacquebord and H. Verlinde, we
show that in the U(N) SYM Matrix theory there exist classical BPS instantons
which interpolate between different closed string configurations via
joining/splitting interactions similar to those of string field theory. We
construct them starting from branched coverings of Riemann surfaces. For the
class of them which we analyze in detail the construction can be made explicit
in terms U(N) affine Toda field theories.Comment: 12 pages, 1 eps figure, JHEP.cls LaTeX2e class file; sign corrected,
ref. and acknowledgements update
Heterotic Matrix String Theory and Riemann Surfaces
We extend the results found for Matrix String Theory to Heterotic Matrix
String Theory, i.e. to a 2d O(N) SYM theory with chiral (anomaly free) matter
and N=(8,0) supersymmetry. We write down the instanton equations for this
theory and solve them explicitly. The solutions are characterized by branched
coverings of the basis cylinder, i.e. by compact Riemann surfaces with
punctures. We show that in the strong coupling limit the action becomes the
heterotic string action plus a free Maxwell action. Moreover the amplitude
based on a Riemann surface with p punctures and h handles is proportional to
g^{2-2h-p}, as expected for the heterotic string interaction theory with string
coupling g_s=1/g.Comment: 17 pages, JHEP LaTeX style, sentence delete
On the boundary gauge dual of closed tensionless free strings in AdS
We consider closed free tensionless strings in AdSd, calculate exactly the boundary/boundary string evolution kernel and find the string dynamics to be completely frozen. We interpret therefore the boundary configurations as Wilson loop operators in a confining phase. This is taken as an argument in favor to the dual weakly coupled abelian gauge theory being that of (dâ4)-forms in the (dâ1) dimensional boundary Minkowski space
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