1,537 research outputs found
Classical self-dual strings in d=6, (2,0) theory from afar
We show how one can get solitonic strings in a six-dimensional (2,0)
supersymmetric theory by incorporating a nonlinear interaction term. We derive
a zero force condition between parallel strings, and compute a metric on a
moduli space which is when the strings are far apart. When compactifying
the strings on a two-torus we show that, in the limit of vanishing two-torus,
one regains the moduli space of two widely separated dyons of equal magnetic
charges in four dimensions.Comment: 13 pages, clarifications and added reference
A reparametrization invariant surface ordering
We introduce a notion of a non-Abelian loop gauge field defined on points in
loop space. For this purpose we first find an infinite-dimensional tensor
product representation of the Lie algebra which is particularly suited for
fields on loop space. We define the non-Abelian Wilson surface as a `time'
ordered exponential in terms of this loop gauge field and show that it is
reparametrization invariant.Comment: 11 pages, clarifications and added ref
Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra
In this paper, we study the equations of motion for non-Abelian N=(2,0)
tensor multiplets in six dimensions, which were recently proposed by Lambert
and Papageorgakis. Some equations are regarded as constraint equations. We
employ a loop extension of the Lorentzian three-algebra (3-algebra) and examine
the equations of motion around various solutions of the constraint equations.
The resultant equations take forms that allow Lagrangian descriptions. We find
various (5+d)-dimensional Lagrangians and investigate the relation between them
from the viewpoint of M-theory duality.Comment: 44+1 pages, reference added, typos corrected, and several discussions
added; v3, reference added, many typos corrected, the language improved; v4,
some typos and references corrected, final version to appear in J. Phys.
Supersymmetric coupling of a self-dual string to a (2,0) tensor multiplet background
We construct an interaction between a (2,0) tensor multiplet in six
dimensions and a self-dual string. The interaction is a sum of a Nambu-Goto
term, with the tension of the string given by the modulus of the scalar fields
of the tensor multiplet, and a non-local Wess-Zumino term, that encodes the
electromagnetic coupling of the string to the two-form gauge field of the
tensor multiplet. The interaction is invariant under global (2,0)
supersymmetry, modulo the equations of motion of a free tensor multiplet. It is
also invariant under a local fermionic kappa-symmetry, as required by the
BPS-property of the string.Comment: 12 pages, LaTe
Free tensor multiplets and strings in spontaneously broken six-dimensional (2,0) theory
We first review the representations of the six-dimensional (2,0) superalgebra
on a free tensor multiplet and on a free string. We then construct a
supersymmetric Lagrangian describing a free tensor multiplet. (It also includes
a decoupled anti self-dual part of the three-form field strength.) This field
theory is then rewritten in variables appropriate for analyzing a situation
where the R-symmetry is spontaneously broken by the vacuum expectation values
of the scalar moduli fields. Finally, we construct a supersymmetric and
kappa-symmetric action for a free string.Comment: 15 pages, LaTe
KK6 from M2 in BLG
We study the possibility that the Kaluza-Klein monopole (KK6) world-volume
action may be obtained from the multiple membranes (M2) action which is
described by BLG theory. We first point out that the infinite dimensional Lie
3-algebra based on the Nambu-Poisson structure could not only provide three
dimensional manifolds to allow M5 from M2, which was studied by previous
authors, but also provide five dimensional manifolds to allow KK6 from M2. We
next present a possible way that the U(1) field on KK6 world-volume action
could be produced form the gauge potential in BLG theory.Comment: Latex, 15 pages. V3: Add theorem 2 to complete proof. V4: Detail
physical interpretations and calculations in section
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
Super-Yang-Mills and M5-branes
We uplift 5-dimensional super-Yang-Mills theory to a 6-dimensional gauge
theory with the help of a space-like constant vector , whose norm
determines the Yang-Mills coupling constant. After the localization of
the 6D gauge theory acquires Lorentzian invariance as well as scale invariance.
We discuss KK states, instantons and the flux quantization. The 6D theory
admits extended solutions like 1/2 BPS `strings' and monopoles.Comment: 15 pages; minor changes, to appear in JHE
N=8 superconformal gauge theories and M2 branes
Based on recent developments, in this letter we find 2+1 dimensional gauge
theories with scale invariance and N=8 supersymmetry. The gauge theories are
defined by a Lagrangian and are based on an infinite set of 3-algebras,
constructed as an extension of ordinary Lie algebras. Recent no-go theorems on
the existence of 3-algebras are circumvented by relaxing the assumption that
the invariant metric is positive definite. The gauge group is non compact, and
its maximally compact subgroup can be chosen to be any ordinary Lie group,
under which the matter fields are adjoints or singlets. The theories are parity
invariant and do not admit any tunable coupling constant. In the case of SU(N)
the moduli space of vacua contains a branch of the form (R^8)^N/S_N. These
properties are expected for the field theory living on a stack of M2 branes.Comment: 14 pages, no figure
BPS States on M5-brane in Large C-field Background
We extensively study BPS solutions of the low energy effective theory of
M5-brane in large C-field background. This provides us an opportunity to
explore the interactions turned on by C-field background through the
Nambu-Poisson structure. The BPS states considered in this paper include the
M-waves, the self-dual string (M2 ending on M5), tilted M5-brane, holomorphic
embedding of M5-brane and the intersection of two M5-branes along a 3-brane.Comment: 25 pages, reference adde
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