64 research outputs found
Quadratic -Corrections to Heterotic Double Field Theory
We investigate -corrections of heterotic double field theory up to
quadratic order in the language of supersymmetric O(D,D+dim G) gauged double
field theory. After introducing double-vielbein formalism with a
parametrization which reproduces heterotic supergravity, we show that
supersymmetry for heterotic double field theory up to leading order
-correction is obtained from supersymmetric gauged double field
theory. We discuss the necessary modifications of the symmetries defined in
supersymmetric gauged double field theory. Further, we construct supersymmetric
completion at quadratic order in .Comment: 30 pages; references added, summary and text improved, published
versio
Kerr-Schild Double Field Theory and Classical Double Copy
The Kerr-Schild (KS) formalism is a powerful tool for constructing exact
solutions in general relativity. In this paper, we present a generalization of
the conventional KS formalism to double field theory (DFT) and supergravities.
We introduce a generalized KS ansatz for the generalized metric in terms of a
pair of null vectors. Applying this ansatz to the equations of motion of DFT,
we construct the generalized KS field equation. While the generalized KS
equations are quadratic in the fields, we show that it is possible to find
solutions by considering linear equations only. Furthermore, we construct a
Killing spinor equation under the generalized KS ansatz. Based on this
formalism, we show that the classical double copy structure, which represents
solutions of the Einstein equation in terms of solutions of the Maxwell
equation, can be extended to the entire massless string NS-NS sector. We
propose a supersymmetric classical double copy which shows that solutions of
the Killing spinor equation can be realized in terms of solutions of the BPS
equation of the supersymmetric Maxwell theory.Comment: 40 page
Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
We discuss the generalization of the Kerr-Schild (KS) formalism for general
relativity and double field theory (DFT) to the heterotic DFT and supergravity.
We first introduce a heterotic KS ansatz by introducing a pair of null O(d,d+G)
generalized tangent vectors. The pair of null vectors are represented by a pair
of d-dimensional vector fields, and one of the vector fields is not a null
vector. This implies that the null property of the usual KS formalism, which
plays a crucial role in linearizing the field equations, can be partially
relaxed in a consistent way. We show that the equations of motion under the
heterotic KS ansatz in a flat background can be reduced to linear equations.
Using the heterotic KS equations, we establish the single and zeroth copy for
heterotic supergravity and derive the Maxwell and Maxwell-scalar equations.
This agrees with the KLT relation for heterotic string theory.Comment: 30 pages; typos correcte
Topological Twisting of Multiple M2-brane Theory
Bagger-Lambert-Gustavsson theory with infinite dimensional gauge group has
been suggested to describe M5-brane as a condensation of multiple M2-branes.
Here we perform a topological twisting of the Bagger-Lambert-Gustavsson theory.
The original SO(8) R-symmetry is broken to SO(3)XSO(5), where the former may be
interpreted as a diagonal subgroup of the Euclidean M5-brane world-volume
symmetry SO(6), while the latter is the isometry of the transverse five
directions. Accordingly the resulting action contains an one-form and five
scalars as for the bosonic dynamical fields. We further lift the action to a
generic curved three manifold. In order to make sure the genuine topological
invariance, we construct an off-shell formalism such that the scalar
supersymmetry transformations are nilpotent strictly off-shell and independent
of the metric of the three manifold. The one loop partition function around a
trivial background yields the Ray-Singer torsion. The BPS equation involves an
M2-brane charge density given by a Nambu-Goto action defined in an internal
three-manifold.Comment: 20 pages, no figure; Refs added, minor improvement, to appear in JHE
Covariant action for a string in doubled yet gauged spacetime
The section condition in double field theory has been shown to imply that a
physical point should be one-to-one identified with a gauge orbit in the
doubled coordinate space. Here we show the converse is also true, and continue
to explore the idea of `spacetime being doubled yet gauged'. Introducing an
appropriate gauge connection, we construct a string action, with an arbitrary
generalized metric, which is completely covariant with respect to the
coordinate gauge symmetry, generalized diffeomorphisms, world-sheet
diffeomorphisms, world-sheet Weyl symmetry and O(D,D) T-duality. A topological
term previously proposed in the literature naturally arises and a self-duality
condition follows from the equations of motion. Further, the action may couple
to a T-dual background where the Riemannian metric becomes everywhere singular.Comment: 1+29 pages; v2) Refs added. minor changes. To appear in Nuclear
Physics
Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
Previous constructions of supersymmetry for double field theory have relied
on the so called strong constraint. In this paper, the strong constraint is
relaxed and the theory is shown to possess supersymmetry once the generalised
Scherk-Schwarz reduction is imposed. The equivalence between the generalised
Scherk-Schwarz reduced theory and the gauged double field theory is then
examined in detail for the supersymmetric theory. As a byproduct we write the
generalised Killing spinor equations for the supersymmetric double field
theory.Comment: 29 pages, LateX, v2 typos fixed and some improved discussion, version
as in Journa
A Note on Circle Compactification of Tensile Ambitwistor String
We discuss a number of problems associated with the circle compactification
of the bosonic tensile ambitwistor string with the asymmetric vacuum choice. By
considering the spectrum and physical state conditions, we show that the circle
radius plays a role as a tuning parameter which determines the low energy
effective field theory. At the self dual point, we construct the current
operators and compute OPEs between them. While the final outcome remains as yet
inconclusive, several new results are obtained. Through the current algebra
analysis we show that there is a subsector of the massless states where the
gauge symmetry is enhanced to . Using the fact that the
one loop partition function is not modular invariant, we show that tensile
ambitwistor string partition function is exactly the same as a field theory
partition function. Our result proves that despite the existence of winding
modes, which is a typical characteristic of a string, the tensile ambitwistor
string behaves as a point particle theory.Comment: 31 pages, v2: minor corrections, reference added, published in
Nucl.Phys.
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