194 research outputs found
On the ADHM construction of noncommutative U(2) k-instanton
The basic objects of the ADHM construction are reformulated in terms of
elements of the algebra of the noncommutative
space. This new formulation of the ADHM construction makes possible the
explicit calculus of the U(2) instanton number which is shown to be the product
of a trace of finite rank projector of the Fock representation space of the
algebra times a noncommutative version of the winding number.Comment: 22 pages, new version to appear in Phys. Rev.
extra-natural inflation with Standard Model on a brane
The interrelation between inflationary cosmology and new physics beyond the
Standard Model (SM) is studied in a extension of the SM embedded
in a (4+1)-dimensional spacetime. In the scenario we study, the inflaton arises
from the Wilson loop of the gauge group winding an
extra-dimensional cycle. Particular attention is paid to the coupling between
the inflaton and SM particles that are confined on a brane localised in the
extra dimension. We find that the inflaton decay channels are rather restricted
in this scenario and the resulting reheating temperature is relatively low.Comment: 1+14 page
Supersymmetric reduced models with a symmetry based on Filippov algebra
Generalizations of the reduced model of super Yang-Mills theory obtained by
replacing the Lie algebra structure to Filippov -algebra structures are
studied. Conditions for the reduced model actions to be supersymmetric are
examined. These models are related with what we call \{cal N}_{min}=2 super
-brane actions.Comment: v3: In the previous versions we overlooked that Eq.(3.9) holds more
generally, and missed some supersymmetric actions. Those are now included and
modifications including a slight change in the title were made accordingly.
1+18 page
String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
We analyze BPS equations for string-like configurations derived from the
M5-brane worldvolume action with a Nambu-Poisson structure constructed in
arXiv:0804.3629, arXiv:0805.2898. We solve the BPS equations up to the first
order in the parameter which characterizes the strength of the
Nambu-Poisson bracket. We compare our solutions to previously constructed BPS
string solitons in the conventional description of M5-brane in a constant
three-form background via Seiberg-Witten map, and find agreement.Comment: v2: minor corrections, the title slightly changed. 10 pages. v3: some
clarifying comment
Large N Reductions and Holography
The large reductions in gauge theories are identified with dimensional
reductions with homogeneous distribution of the eigenvalues of the gauge field,
and it is used to identify the corresponding closed string descriptions in the
Maldacena duality. When one does not take the zero-radii limit, the large
reductions are naturally extended to the equivalences between the gauge
theories and the "generalized" reduced models, which naturally contain the
notion of T-dual equivalence. In the dual gravitational description, T-duality
relates two type IIB supergravity solutions, the near horizon geometry of
D3-branes, and the near horizon geometry of D-instantons densely and
homogeneously distributing on the dual torus. This is the holographic
description of the generalized large reductions. A new technique for
calculating correlation functions of local gauge invariant single trace
operators from the reduced models is also given.Comment: REVTeX4 v2: simple mistake in eq.(1) corrected. footnote 4 in v1
expanded in the main body. conflicting notations for the dilaton below eq.(6)
(in v1) fixed. 6 pages, 5 figures v3: corrected typo v4: presentation
improved with explanations and clarifications. results unchanged. refs added.
8page
Calculating the Prepotential by Localization on the Moduli Space of Instantons
We describe a new technique for calculating instanton effects in
supersymmetric gauge theories applicable on the Higgs or Coulomb branches. In
these situations the instantons are constrained and a potential is generated on
the instanton moduli space. Due to existence of a nilpotent fermionic symmetry
the resulting integral over the instanton moduli space localizes on the
critical points of the potential. Using this technology we calculate the one-
and two-instanton contributions to the prepotential of SU(N) gauge theory with
N=2 supersymmetry and show how the localization approach yields the prediction
extracted from the Seiberg-Witten curve. The technique appears to extend to
arbitrary instanton number in a tractable way.Comment: 24 pages, JHEP.cls, more references and extra discussion on N_F=2N
cas
Non-Commutative Instantons and the Seiberg-Witten Map
We present several results concerning non-commutative instantons and the
Seiberg-Witten map. Using a simple ansatz we find a large new class of
instanton solutions in arbitrary even dimensional non-commutative Yang-Mills
theory. These include the two dimensional ``shift operator'' solutions and the
four dimensional Nekrasov-Schwarz instantons as special cases. We also study
how the Seiberg-Witten map acts on these instanton solutions. The infinitesimal
Seiberg-Witten map is shown to take a very simple form in operator language,
and this result is used to give a commutative description of non-commutative
instantons. The instanton is found to be singular in commutative variables.Comment: 26 pages, AMS-LaTeX. v2: the formula for the commutative description
of the Nekrasov-Schwarz instanton corrected (sec. 4). v3: minor correction
More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
We continue our investigation on the Nambu-Poisson description of M5-brane in
a large constant C-field background (NP M5-brane theory) constructed in
Refs.[1, 2]. In this paper, the low energy limit where the NP M5-brane theory
is applicable is clarified. The background independence of the NP M5-brane
theory is made manifest using the variables in the BLG model of multiple
M2-branes. An all order solution to the Seiberg-Witten map is also constructed.Comment: expanded explanations, minor corrections and typos correcte
Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
We study the noncommutative version of the extended ADHM construction in the
eight dimensional U(1) Yang-Mills theory. This construction gives rise to the
solutions of the BPS equations in the Yang-Mills theory, and these solutions
preserve at least 3/16 of supersymmetries. In a wide subspace of the extended
ADHM data, we show that the integer which appears in the extended ADHM
construction should be interpreted as the -brane charge rather than the
-brane charge by explicitly calculating the topological charges in the case
that the noncommutativity parameter is anti-self-dual. We also find the
relationship with the solution generating technique and show that the integer
can be interpreted as the charge of the -brane bound to the -brane
with the -field in the case that the noncommutativity parameter is
self-dual.Comment: 22 page
Quasi-localized states on noncommutative solitons
We consider noncommutative gauge theories which have zero mass states
propagating along both commutative and noncommutative dimensions. Solitons in
these theories generically carry U(m) gauge group on their world-volume. From
the point of view of string theory, these solitons correspond to
``branes within branes''. We show that once the world-volume U(m) gauge
theory is in the Higgs phase, light states become quasi-localized, rather than
strictly localized on the soliton, i.e. they mix with light bulk modes and have
finite widths to escape into the noncommutative dimensions. At small values of
U(m) symmetry breaking parameters, these widths are small compared to the
corresponding masses. Explicit examples considered are adjoint scalar field in
the background of a noncommutative vortex in U(1)-Higgs theory, and gauge
fields in instanton backgrounds in pure gauge noncommutative theories.Comment: 27 pages, references and comments added, final version to appear in
JHE
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