56 citations · 321 across the 19 of their papers we have counts for
19 papers
Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
Benjamin Basso, Alexander G. Tumanov
We propose a dual Wilson loop description for the MHV super form factors of half-BPS operators in planar super-Yang-Mills theory. In this description, the local ope…
Hölder regularity of the equation on the polydisc
Yu Jun Loo, Alexander Tumanov
In this note, we show the existence of a solution operator to the equation in the polydisc that preserves Hölder regularity. This solution operator is constructed us…
Infinitesimal automorphisms of quadrics and second jet determination for CR mappings
Alexander Tumanov
We consider a problem whether a CR mapping of a generic manifold in complex space is uniquely determined by its finite jet at a point, which is referred to as finite jet determinat…
An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
Amit Sever, Alexander G. Tumanov, Matthias Wilhelm
Form factors in planar super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the for…
An Operator Product Expansion for Form Factors II. Born level
Amit Sever, Alexander G. Tumanov, Matthias Wilhelm
Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion…
An Operator Product Expansion for Form Factors
Amit Sever, Alexander G. Tumanov, Matthias Wilhelm
We propose an operator product expansion for planar form factors of local operators in SYM theory. This expansion is based on the dual conformal symmetry of these o…
Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar Correction
Roy Ben-Israel, Alexander G. Tumanov, Amit Sever
We study the first non-planar correction to gluon scattering amplitudes in SYM theory. The correction takes the form of a double trace partial amplitude and is suppres…
E11 and the non-linear dual graviton
Alexander G. Tumanov, Peter West
The non-linear duality relation between the gravity and dual gravity fields are found in E theory by carrying out variations of previously found duality relations. We also…
E11, Romans theory and higher level duality relations
Alexander G. Tumanov, Peter West
From the underlying non-linear realisation we compute the complete E11 invariant equations of motion in eleven dimensions, at the linearised level, up to and including level four i…
E11 in 11D
Alexander G. Tumanov, Peter West
We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in eleven dimensions and find the dynamical equations it predicts at low lev…
E11 must be a symmetry of strings and branes
Alexander G. Tumanov, Peter West
We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in five and eleven dimensions and find the dynamical equations it predicts a…
E11 and exceptional field theory
Alexander G. Tumanov, Peter West
We demonstrate that exceptional field theory is a truncation of the non-linear realisation of the semi-direct product of E11 and its first fundamental as proposed in 2003. Evaluati…
Generalised vielbeins and non-linear realisations
Alexander G. Tumanov, Peter West
We briefly review why the non-linear realisation of the semi-direct product of a group with one of its representations leads to a field theory defined on a generalised space-time e…
Gromov's Non-Squeezing Theorem and Beltrami type equation
A. Sukhov, A. Tumanov
We introduce a method for constructing J-complex discs. The method only uses the standard scheme for solving the Beltrami equation and the Schauder principle. As an application, we…
Minimal biquadratic energy of 5 particles on 2-sphere
Alexander Tumanov
Consider n points on the unit 2-sphere. The potential of the interaction of two points is a function f(r) of the distance r between the points. The total energy E of n points is th…
Low-energy general relativity with torsion: a systematic derivative expansion
Dmitri Diakonov, Alexander G. Tumanov, Alexey A. Vladimirov
We attempt to build systematically the low-energy effective Lagrangian for the Einstein--Cartan formulation of gravity theory that generally includes the torsion field. We list all…
Hartogs figure and symplectic non-squeezing
A. Sukhov, A. Tumanov
We solve a problem on filling by Levi-flat hypersurfaces for a class of totally real 2-tori in a real 4-manifold with an almost complex structure tamed by an exact symplectic form.…
Deformations and transversality of pseudo-holomorphic discs
A. Sukhov, A. Tumanov
We prove analogs of Thom's transversality theorem and Whitney's theorem on immersions for pseudo-holomorphic discs. We also prove that pseudo-holomorphic discs form a manifold.
Regularization of almost complex structures and and gluing holomorphic discs to tori
A. Sukhov, A. Tumanov
We prove a result on removing singularities of almost complex structures pulled back by a non-diffeomorphic map. As an application we prove the existence of global J-holomorphic di…