10 research outputs found
Coupling between M2-branes and Form Fields
In the context of low-energy effective theory of multiple M2-branes, we
construct the interaction terms between the world-volume fields of M2-branes
and the antisymmetric tensor fields of three- and six-forms. By utilizing the
compactification procedure, we show coincidence between the dimensionally
reduced coupling and the R-R coupling to D-branes in type II string theory. We
also discuss that a cubic term proportional to six-form field reproduces the
quartic mass-deformation term in the world-volume theory of multiple M2-branes.Comment: 18 page
Exact time-localized solutions in Vacuum String Field Theory
We address the problem of finding star algebra projectors that exhibit
localized time profiles. We use the double Wick rotation method, starting from
an Euclidean (unconventional) lump solution, which is characterized by the
Neumann matrix being the conventional one for the continuous spectrum, while
the inverse of the conventional one for the discrete spectrum. This is still a
solution of the projector equation and we show that, after inverse
Wick-rotation, its time profile has the desired localized time dependence. We
study it in detail in the low energy regime (field theory limit) and in the
extreme high energy regime (tensionless limit) and show its similarities with
the rolling tachyon solution.Comment: 27 pages, 2 figures. v2: typos corrected, ref added, comment added in
last section, to appear on NP
Interaction between M2-branes and Bulk Form Fields
We construct the interaction terms between the world-volume fields of
multiple M2-branes and the 3- and 6-form fields in the context of ABJM theory
with U()U() gauge symmetry. A consistency check is made in the
simplest case of a single M2-brane, i.e, our construction matches the known
effective action of M2-brane coupled to antisymmetric 3-form field. We show
that when dimensionally reduced, our couplings coincide with the effective
action of D2-branes coupled to R-R 3- and 5-form fields in type IIA string
theory. We also comment on the relation between a coupling with a specific
6-form field configuration and the supersymmetry preserving mass deformation in
ABJM theory.Comment: 30 pages, version to appear in JHE
Bubbling AdS and Vacuum String Field Theory
We show that a family of 1/2--BPS states of SYM is in correspondence
with a family of classical solutions of VSFT with a --field playing the role
of the inverse Planck constant. We show this correspondence by relating the
Wigner distributions of the fermion systems representing such states, to
low energy space profiles of systems of VSFT D-branes. In this context the
Pauli exclusion principle appears as a consequence of the VSFT projector
equation. The family of 1/2--BPS states maps through coarse--graining to
droplet LLM supergravity solutions. We discuss the possible meaning of the
corresponding coarse graining in the VSFT side.Comment: 23 pages, subsection 4.1 added, Appendix suppressed. to be published
in NP
Ghost story. III. Back to ghost number zero
After having defined a 3-strings midpoint-inserted vertex for the bc system,
we analyze the relation between gh=0 states (wedge states) and gh=3 midpoint
duals. We find explicit and regular relations connecting the two objects. In
the case of wedge states this allows us to write down a spectral decomposition
for the gh=0 Neumann matrices, despite the fact that they are not commuting
with the matrix representation of K1. We thus trace back the origin of this
noncommutativity to be a consequence of the imaginary poles of the wedge
eigenvalues in the complex k-plane. With explicit reconstruction formulas at
hand for both gh=0 and gh=3, we can finally show how the midpoint vertex avoids
this intrinsic noncommutativity at gh=0, making everything as simple as the
zero momentum matter sector.Comment: 40 pages. v2: typos and minor corrections, presentation improved in
sect. 4.3, plots added in app. A.1, two refs added. To appear in JHE
Exact time-localized solutions in vacuum string field theory
We address the problem of finding star algebra projectors that exhibit localized time profiles. We
use the double Wick rotation method, starting from a Euclidean (unconventional) lump solution,
which is characterized by the Neumann matrix being the conventional one for the continuous spectrum,
while the inverse of the conventional one for the discrete spectrum. This is still a solution of
the projector equation and we show that, after inverse Wick-rotation, its time profile has the desired
localized time dependence. We study it in detail in the low energy regime (field theory limit) and in
the extreme high energy regime (tensionless limit) and show its similarities with the rolling tachyon
solution