243 research outputs found
Dirac Branes, Characteristic Currents and Anomaly Cancellations in 5-Branes
The aim of this note is to discuss, in a somewhat informal language, the
cancellation of anomalies (in topologically trivial space-time) for 5-branes
using as "building blocks": i) a generalization to p-branes of the Dirac
strings of monopoles (Dirac branes) and a refinement of this idea involving a
geometric regularization of Dirac branes, leading to the formalism of
"characteristic currents" ii) the PST formalism . As an example of the
potentiality of the developed framework we discuss in some detail the anomaly
cancellation in the D=10 effective theory of heterotic string and 5-brane
coupled to supergravity, where the anomaly inflow is automatically generated.
Some remarks are also made on a similar approach to the problem of anomaly
cancellation in the effective theory of M5-brane coupled to D=11 supergravity,
developed in collaboration with M.Tonin, where however still as open problem
remains a Dirac anomaly.Comment: LaTeX file, espcrc2.sty, 6 pages. Based on the talk given by P.M. at
the D.V. Volkov Memorial Conference "Supersymmetry and Quantum Field Theory"
(25-29 July, 2000, Kharkov, Ukraine). To be published in Nuclear Physics B
Conference Supplement
Duality-invariant Quantum Field Theories of Charges and Monopoles
We present a manifestly Lorentz- and SO(2)-Duality-invariant local Quantum
Field Theory of electric charges, Dirac magnetic monopoles and dyons. The
manifest invariances are achieved by means of the PST-mechanism. The dynamics
for classical point particles is described by an action functional living on a
circle, if the Dirac-Schwinger quantization condition for electric and magnetic
charges holds. The inconsistent classical field theory depends on an arbitrary,
but fixed, external vector field, a generalization of the Dirac-string.
Nevertheless, the Quantum Field Theory, obtained from this classical action via
a functional integral approach, turns out to be independent of the particular
vector field chosen, and thus consistent, if the Dirac-Schwinger quantization
condition holds. We provide explicit expressions for the generating functionals
of observables, proving that they are Dirac-string independent. Since
Lorentz-invariance is manifest at each step, the quantum theory admits also a
manifestly diffeomorphism invariant coupling to external gravity. Relations
with previous formulations, and with SO(2)--non invariant theories are
clarified.Comment: 49 pages, LaTeX, no figure
Covariant Action for the Super-Five-Brane of M-Theory
We propose a complete, d=6 covariant and kappa-symmetric, action for an
M-theory five-brane propagating in D=11 supergravity background.Comment: LaTeX file, 5 pages, misprints corrected, comments and references
adde
The M five brane on a torus
The D-3 brane is examined from the point of view of the wrapped M-theory five
brane on a torus. In particular, the S-dual versions of the 3-brane are
identified as coming from different gauge choices of the auxiliary field that
is introduced in the PST description of the five brane world volume theory.Comment: 7 pages. To appear in proceedings of "Quantum aspects of gauge
theories, supergravity and unification", Corfu, September 1998, typos
correcte
Chern-kernels and anomaly cancellation in M-theory
This paper deals with magnetic equations of the type dH=J where the current J
is a delta-function on a brane worldvolume and H a p-form field strength. In
many situations in M-theory this equation needs to be solved for H in terms of
a potential. A standard universality class of solutions, involving
Dirac-branes, gives rise to strong intermediate singularities in H which in
many physically relevant cases lead to inconsistencies. In this paper we
present an alternative universality class of solutions for magnetic equations
in terms of Chern-kernels, and provide relevant applications, among which the
anomaly-free effective action for open M2-branes ending on M5-branes. The
unobservability of the Dirac-brane requires a Dirac quantization condition; we
show that the requirement of ``unobservability'' of the Chern-kernel leads in
M-theory to classical gravitational anomalies which cancel precisely their
quantum counterparts.Comment: LaTex, 39 pages, references and comments adde
A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge
fields) in 6 dimensions with a spatial direction compactified on a circle of
radius R. It has the following two properties. (1) It reduces to the Yang-Mills
theory in 5 dimensions for small R. (2) It is equivalent to the
Lorentz-invariant theory of Abelian chiral 2-forms when the gauge group is
Abelian. Previous no-go theorems prohibiting non-Abelian deformations of the
chiral 2-form gauge theory are circumvented by introducing nonlocality along
the compactified dimension.Comment: 23 pages, reference adde
New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
We discuss a generalized form of IIA/IIB supergravity depending on all R-R
potentials C^(p) (p=0,1,...,9) as the effective field theory of Type IIA/IIB
superstring theory. For the IIA case we explicitly break this R-R democracy to
either p=5 which allows us to write a new bulk action that can be
coupled to N=1 supersymmetric brane actions.
The case of 8-branes is studied in detail using the new bulk & brane action.
The supersymmetric negative tension branes without matter excitations can be
viewed as orientifolds in the effective action. These D8-branes and O8-planes
are fundamental in Type I' string theory. A BPS 8-brane solution is given which
satisfies the jump conditions on the wall. It implies a quantization of the
mass parameter in string units. Also we find a maximal distance between the two
walls, depending on the string coupling and the mass parameter. We derive the
same results via supersymmetric flow equations.Comment: 30 pages, 2nd version: reference adde
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
Poincare Invariance of a Quantized Duality Symmetric Theory
The noncovariant duality symmetric action put forward by Schwarz-Sen is
quantized by means of the Dirac bracket quantization procedure. The resulting
quantum theory is shown to be, nevertheless, relativistically invariant
Batalin-Vilkovisky gauge-fixing of a chiral two-form in six dimensions
We perform the gauge-fixing of the theory of a chiral two-form boson in six
dimensions starting from the action given by Pasti, Sorokin and Tonin. We use
the Batalin-Vilkovisky formalism, introducing antifields and writing down an
extended action satisfying the classical master equation. Then we gauge-fix the
three local symmetries of the extended action in two different ways.Comment: 15 pages, latex, no figures, version accepted by Class. Quant. Gra
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