56 research outputs found
Exotic branes in Double Field Theory
No full textThe non-geometric Q- and R-monopole are shown to be a particular case of the DFT-monopole solution. The notion of magnetic charge for the solutions is defined and shown to be equal to the magnetic charge of the NS5-brane solution. This is a talk presented by the author at the conference QUARKS’16 in St.-Petersburg
Isometries of five-branes and T-duality
No full text© The Authors, published by EDP Sciences, 2018. T-duality chain starting from the NS5-brane is known to generate exotic backgrounds. These have been described as a DFT background whose orientation in the doubled space defines specific 10-dimensional solutions. The focus of this letter is at isometries of the corresponding background, their relation to the NS five-brane charge and the section constraint of DFT. This letter is based on the talk presented by the author at the conference QUARKS'18
Exceptional field theory: SL(5)
No full textIn this work the exceptional field theory formulation of supergravity with SL(5) gauge group is considered. This group appears as a U-duality group of maximal supergravity. In the formalism presented the hidden global duality group is promoted into a gauge group of a theory in dimensions 7+number of extended directions. This work is a continuation of the series of works for and duality groups
emusaev/sl5flux: SL5 flux formulation
No full text<p>Bianchi identities and the full flux formulation of the Sl(5) exceptional field theory</p>
Tri-vector deformations on compact isometries
No full textClassical Yang-Baxter equation governing bi-vector deformations of 10d
supergravity is known to have no solutions along non-abelian compact
isometries. By providing explicit examples we show that this is in contrast to
generalized Yang-Baxter equation governing tri-vector deformations of 11d
supergravity. We present deformations of the AdS7xS4 and flat backgrounds with
isometries generated by Killing vectors of a sphere. Isometries of the AdS
space-time are preserved by such deformations.Comment: 24 page
The invariant action for solitonic 5-branes
No full textWe construct the full effective action including DBI and WZ terms for
solitonic 5-branes covariant under T-duality. The result is a completion of
results known in the literature to a full T-duality covariant expression. The
covariant WZ action includes previously omitted R-R terms. The obtained full
covariant effective action reproduces the one obtained by S-duality from the
D5-brane upon the correct choice of the covariant charge
U-Dualities in Type II and M-Theory: A Covariant Approach
No full textIn this review, a short description of exceptional field theory and its application is presented. Exceptional field theories provide a U-duality covariant description of supergravity theories, allowing addressing relevant phenomena, such as non-geometricity. Some applications of the formalism are briefly described
U-dualities in Type II string theories and M-theory.
No full textPhDIn this thesis the recently developed duality covariant approach to string and Mtheory
is investigated. In this formalism the U-duality symmetry of M-theory or Tduality
symmetry of Type II string theory becomes manifest upon extending coordinates
that describe a background.
The effective potential of Double Field Theory is formulated only up to a boundary
term and thus does not capture possible topological effects that may come from a
boundary. By introducing a generalised normal we derive a manifestly duality covariant
boundary term that reproduces the known Gibbons-Hawking action of General Relativity,
if the section condition is imposed. It is shown that the full potential can be
represented as a sum of the scalar potential of gauged supergravity and a topological
term that is a full derivative. The latter is written totally in terms of the geometric
flux and the non-geometric Q-flux integrated over the doubled torus.
Next we show that the Scherk-Schwarz reduction of M-theory extended geometry
successfully reproduces known structures of maximal gauged supergravities. Local symmetries
of the extended space defined by a generalised Lie derivatives reduce to gauge
transformations and lead to the embedding tensor written in terms of twist matrices.
The scalar potential of maximal gauged supergravity that follows from the effective potential
is shown to be duality invariant with no need of section condition. Instead, this
condition, that assures the closure of the algebra of generalised diffeomorphisms, takes
the form of the quadratic constraints on the embedding tensor
Integrability structures in string theory
No full textThis review is a collection of various methods and observations relevant to
structures in three-dimensional systems similar to those responsible for
integrability of two-dimensional systems. Particular focus is given to Nambu
structures and loop variables naturally appearing in membrane dynamics. While
reviewing each topic in more details we emphasize connections between them and
speculate on possible relations to membrane integrability.Comment: v2: refs adde
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