526 research outputs found
The M5-brane on K3 x T^2
We discuss the low energy effective theory of an M5-brane wrapped on a smooth
holomorphic four-cycle of K3 x T^2, including the special case of T^6. In
particular we give the lowest order equations of motion and resolve a puzzle
concerning the counting of massless modes that was reported in hep-th/9906094.
In order to find agreement with black hole entropy and anomaly inflow arguments
we propose that some of the moduli become massive.Comment: 17 pages LaTex, reference adde
Heterotic M2-branes
We construct the action for N M2-branes on . The resulting theory
has a gauge anomaly but this can be cancelled if the two fixed point planes
each support 8 chiral Fermions in the fundamental of U(N). Taking the low
energy limit leads to the worldsheet theory of N free heterotic strings whose
quantization induces an spacetime gauge symmetry on each fixed point
plane. Thus this paper presents a non-abelian worldvolume analogue of the
classic Horava-Witten analysis.Comment: reference adde
Calibrations, Monopoles and Fuzzy Funnels
We present new non-Abelian solitonic configurations in the low energy
effective theory describing a collection of N parallel D1--branes. These
configurations preserve 1/4, 1/8, 1/16 and 1/32 of the spacetime supersymmetry.
They are solutions to a set of generalised Nahm's equations which are related
to self-duality equations in eight dimensions. Our solutions represent
D1--branes which expand into fuzzy funnel configurations ending on collections
of intersecting D3--branes. Supersymmetry dictates that such intersecting
D3--branes must lie on a calibrated three-surface of spacetime and we argue
that the generalised Nahm's equations encode the data for the construction of
magnetic monopoles on the relevant three-surfaces.Comment: 19 pages. Latex. v2: added references and acknowledgmen
Null Reductions of M5-Branes
We perform a general reduction of an M5-brane on a spacetime that admits a
null Killing vector, including couplings to background 4-form fluxes and
possible twisting of the normal bundle. We give the non-abelian extension of
this action and present its supersymmetry transformations. The result is a
class of supersymmetric non-lorentzian gauge theories in 4+1 dimensions, which
depend on the geometry of the six-dimensional spacetime. These can be used for
DLCQ constructions of M5-branes reduced on various manifolds.Comment: 21 pages; more typos corrected and additional comment in the
introduction, to appear in JHEP (hopefully
Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics
We present gauge theories in 2+1 and 4+1 dimensions with 16 supersymmetries
which are invariant under rotations and translations but not boosts. The
on-shell conditions reduce the dynamics to motion on a moduli space of BPS
states graded by a topologically conserved quantity. On each component of the
moduli space only half the supersymmetry is realised. We argue that these
theories describe M2-branes and M5-branes which have been infinitely boosted so
that their worldvolume `time' has become null.Comment: Minor corrections including an extra term in the susy variation of
G_{ij
Flux and Freund-Rubin Superpotentials in M-theory
We discuss the effective action for weak G_2 compactifications of M-theory.
The presence of fluxes acts as a source for the the axions and drives the
Freund-Rubin parameter to zero. The result is a stable non-supersymmetric
vacuum with a negative cosmological constant. We also give the superpotential
which generates the effective potential and discuss a simple model which aims
to incorporate the effects of supersymmetry breaking by the gauge sector.Comment: Discussion of KK-scale and cosmological scales revise
Enhanced Coset Symmetries and Higher Derivative Corrections
After dimensional reduction to three dimensions, the lowest order effective
actions for pure gravity, M-theory and the Bosonic string admit an enhanced
symmetry group. In this paper we initiate study of how this enhancement is
affected by the inclusion of higher derivative terms. In particular we show
that the coefficients of the scalar fields associated to the Cartan subalgebra
are given by weights of the enhanced symmetry group.Comment: 37 pages Latex. Reference added and other minor correction
Duality Groups, Automorphic Forms and Higher Derivative Corrections
We study the higher derivative corrections that occur in type II superstring
theories in ten dimensions or less. Assuming invariance under a discrete
duality group G(Z) we show that the generic functions of the scalar fields that
occur can be identified with automorphic forms. We then give a systematic
method to construct automorphic forms from a given group G(Z) together with a
chosen subgroup H and a linear representation of G(Z). This construction is
based on the theory of non-linear realizations and we find that the automorphic
forms contain the weights of G. We also carry out the dimensional reduction of
the generic higher derivative corrections of the IIB theory to three dimensions
and find that the weights of E_8 occur generalizing previous results of the
authors on M-theory. Since the automorphic forms of this theory contain the
weights of E_8 we can interpret the occurrence of weights in the dimensional
reduction as evidence for an underlying U-duality symmetry.Comment: Typos corrected and a reference adde
Perturbation Theory From Automorphic Forms
Using our previous construction of Eisenstein-like automorphic forms we
derive formulae for the perturbative and non-perturbative parts for any group
and representation. The result is written in terms of the weights of the
representation and the derivation is largely group theoretical. Specialising to
the E_{n+1} groups relevant to type II string theory and the representation
associated with node n+1 of the E_{n+1} Dynkin diagram we explicitly find the
perturbative part in terms of String Theory variables, such as the string
coupling g_d and volume V_n. For dimensions seven and higher we find that the
perturbation theory involves only two terms. In six dimensions we construct the
SO(5,5) automorphic form using the vector representation. Although these
automorphic forms are generally compatible with String Theory, the one relevant
to R^4 involves terms with g_d^{-6} and so is problematic. We then study a
constrained SO(5,5) automorphic form, obtained by summing over null vectors,
and compute its perturbative part. We find that it is consistent with String
Theory and makes precise predictions for the perturbative results. We also
study the unconstrained automorphic forms for E_6 in the 27 representation and
E_7 in the 133 representation, giving their perturbative part and commenting on
their role in String Theory.Comment: Typos fixed and other minor corrections. A 'note added' include
Non-Abelian Field Theory of stable non-BPS Branes
We derive the action for the non-abelian field theory living on parallel
non-BPS D3-branes in type IIA theory on the orbifold T^4/I_4(-1)^F_L. The
classical moduli space for the massless scalars originating in the ``would be''
tachyonic sector shows an interesting structure. In particular, it contains
non-abelian flat directions. At a generic point in this branch of the moduli
space the scalars corresponding to the the separations of the branes acquire
masses and the branes condense. Although these tree level flat directions are
removed by quantum corrections we argue that within the loop approximation the
branes still condense.Comment: 1 reference adde
- …