158 citations · 1.1k across the 45 of their papers we have counts for
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Yang-Baxter symmetries of Type II supergravity
Igor Bogatyrev, Edvard T. Musaev, Timophey Petrov
We provide a complete proof that Yang--Baxter bi-vector deformations are solution generating transformations in Type II supergravity. The proof does not rely on the assumption that…
Brane-probes response to poly-vector deformations
Sergei Barakin, Angelina Kurenkova, Edvard T. Musaev
We probe poly-vector deformations of Type II backgrounds using the fundamental string, D0-brane and D3-brane, and of the 11D membrane background by the fundamental M2-brane. We sho…
Uni-vector deformations, D0-bound states and DLCQ
Sergei Barakin, Kirill Gubarev, Edvard T. Musaev
We investigate uni-vector deformation in the Type IIA setup and show that the D0-brane background is mapped into itself (sedimentation), and other extremal backgrounds get bound wi…
Brane bound states, deformations and OM
Sergei Barakin, Kirill Gubarev, Edvard T. Musaev
We investigate behavior of brane backgrounds under poly-vector deformations in Type IIB and D=11 supergravities. We find that the standard bi-vector deformations add dissolved F1 s…
O(4,4) dualities and Manin triples
Angelina Kurenkova, Edvard T. Musaev
We provide a coarse classification of all 8-dimensional Manin triples, that describe Poisson--Lie T-dualities between 4-dimensional group manifold solutions to supergravity equatio…
Yang-Baxter structure of the extended space
Kirill Gubarev, Edvard Musaev
We construct an analogue of Yang--Baxter deformations defined by a single Killing vector, that is a solution generating transformation in Einstein--Maxwell dilaton theory. We show…
On integrability of tri-vector deformed Type II string
Edvard Musaev, Gleb Zverev
We analyse dynamics of the closed Type IIA and IIB string on various tri-vector deformed background searching for signatures of integrability. Using numerical methods we construct…
Tri-vector deformations with external fluxes
Sergei Barakin, Kirill Gubarev, Edvard T. Musaev
We extend the formalism of tri-vector deformations to the full SL(5) exceptional field theory with no truncation assumed thus covering 11D backgrounds of any form. We derive explic…
Polyvector deformations of Type IIB backgrounds
Kirill Gubarev, Edvard T. Musaev, Timophey Petrov
We develop a formalism of poly-vector deformations for Type IIB backgrounds with a block diagonal metric and non-vanishing self-dual 5-form RR field strength. Making use of the emb…
Holographic RG flows and boundary conditions in a 3D gauged supergravity
Ksenia Arkhipova, Lev Astrakhantsev, Nihat Sadik Deger +3
In this work we focus on the study of RG flows of conformal field theories that are holographically dual to Poincaré domain wall solutions in , gauged supe…
Exotic potentials and Bianchi identities in SL(5) exceptional field theory
Kirill Gubarev, Edvard T. Musaev
Tensor hierarchy of Exceptional Field Theories contains gauge fields satisfying certain Bianchi identities. We define the full set of fluxes of the SL(5) exceptional field theory c…
Tri-vector deformations on compact isometries
Edvard T. Musaev, Timophey Petrov
Classical Yang-Baxter equation governing bi-vector deformations of 10d supergravity is known to have no solutions along non-abelian compact isometries. By providing explicit exampl…
Integrability structures in string theory
Kirill Gubarev, Edvard Musaev
This review is a collection of various methods and observations relevant to structures in three-dimensional systems similar to those responsible for integrability of two-dimensiona…
On 10 dimensional Exceptional Drinfel'd Algebras
Sameer Kumar, Edvard T. Musaev
Based on Mubarakzyanov's classification of four-dimensional real Lie algebras, we classify ten-dimensional Exceptional Drinfeld algebras (EDA). The classification is restricted to…
Fermionic T-duality of DFT
Lev Astrakhantsev, Ilya Bakhmatov, Edvard T. Musaev
We provide a complete proof that non-abelian fermionic T-duality along a non-anticommuting Killing spinor always generates a solution to double field theory equations. Examples of…
SUSY and tri-vector deformations
Alexander Kulyabin, Edvard T. Musaev
We analyze conditions for a tri-vector deformation of a supergravity background to preserve some supersymmetry. Working in the formalism of the SL(5) exceptional field theory, we p…
Generalized 11D supergravity equations from tri-vector deformations
Ilya Bakhmatov, Aybike Çatal-Özer, Nihat Sadik Deger +2
In arXiv:2203.03372 we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dime…
The invariant action for solitonic 5-branes
Edvard T. Musaev, Jeffrey P. Molina
We 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…
Generalizing eleven-dimensional supergravity
Ilya Bakhmatov, Aybike Catal-Ozer, Nihat Sadik Deger +2
We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations, that facilitates generalization to U-duality covarian…
Non-abelian fermionic T-duality in supergravity
Lev Astrakhantsev, Ilya Bakhmatov, Edvard T. Musaev
Field transformation rules of the standard fermionic T-duality require fermionic isometries to anticommute, which leads to complexification of the Killing spinors and results in co…
Polyvector deformations in eleven-dimensional supergravity
Kirill Gubarev, Edvard T. Musaev
We consider 3- and 6-vector deformations of 11-dimensional supergravity backgrounds of the form admitting at least 3 Killing vectors. Using flux formulation of the…
Non-abelian U-duality at work
Edvard T. Musaev, Yuho Sakatani
Non-abelian U-duality originates from the construction of exceptional Drinfel'd algebra (EDA), which extends the constriction of the classical Drinfel'd double. This symmetry is a…
On non-abelian U-duality of 11D backgrounds
Edvard T. Musaev
In this letter we generalised the procedure of non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional b…
Non-abelian tri-vector deformations in d=11 supergravity
Ilya Bakhmatov, Kirill Gubarev, Edvard T. Musaev
A truncation of the SL(5) Exceptional Field Theory that allows to describe spacetimes of the form with the 4-form flux on is constructed. The resulting theor…