Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Losev, Andrey"'
One of the approaches to quantum gravity is to formulate it in terms of De Rham algebra, choose a triangulation of space-time, and replace differential forms by cochains (that form a finite dimensional vector space). The key issue of general relativi
Externí odkaz:
http://arxiv.org/abs/2406.17922
We construct combinatorial analogs of 2d higher topological quantum field theories. We consider triangulations as vertices of a certain CW complex $\Xi$. In the "flip theory," cells of $\Xi_\mathrm{flip}$ correspond to polygonal decompositions obtain
Externí odkaz:
http://arxiv.org/abs/2402.04468
Autor:
Losev, Andrey, Sulimov, Tim
We reformulate the time-independent Schr\"odinger equation as a Maurer-Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential so that its cohomology becomes the space of solutions with a set energy. A
Externí odkaz:
http://arxiv.org/abs/2401.17476
Autor:
Losev, Andrey, Lysov, Vyacheslav
We generalize the BV formalism for the physical theories on supermanifolds with graded symmetry algebras realized off-shell and on-shell. An application of such generalization to supersymmetric theories allows us to formulate the new classification w
Externí odkaz:
http://arxiv.org/abs/2312.13999
Autor:
Chekeres, Olga, Kandel, Santosh, Losev, Andrey, Mnev, Pavel, Wernli, Konstantin, Youmans, Donald R.
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps into quasimaps that form a projective space of their own. When a quas
Externí odkaz:
http://arxiv.org/abs/2308.06844
Autor:
Hu, Sen, Losev, Andrey
In this paper we introduce a notion of Feynman geometry on which quantum field theories could be properly defined. A strong Feynman geometry is a geometry when the vector space of $A_\infty$ structures is finite dimensional. A weak Feynman geometry i
Externí odkaz:
http://arxiv.org/abs/2308.04027
Autor:
Losev, Andrey, Lysov, Vyacheslav
We describe the tropical mirror for complex toric surfaces. In particular we provide an explicit expression for the mirror states and show that they can be written in enumerative form. Their holomorphic germs give an explicit form of good section for
Externí odkaz:
http://arxiv.org/abs/2305.00423
Autor:
Losev, Andrey S., Sulimov, Tim V.
We consider 1D quantum scattering problem for a Hamiltonian with symmetries. We show that the proper treatment of symmetries in the spirit of homological algebra leads to new objects, generalizing the well known T- and K-matrices. Homological treatme
Externí odkaz:
http://arxiv.org/abs/2302.09464
Autor:
Losev, Andrey, Lysov, Vyacheslav
We formulate the mirror symmetry for correlation functions of tropical observables. We prove the tropical mirror correspondence for correlation functions of evaluation observables on toric space. The key point of the proof is the localization of corr
Externí odkaz:
http://arxiv.org/abs/2301.01687
Autor:
Losev, Andrey
The text is devoted to explanation of the concept of Topological Quantum Field Theory (TQFT), its application to homological algebra and to the relation with the theory of good section from K.Saito's theory of Primitive forms. TQFT is explained in Di
Externí odkaz:
http://arxiv.org/abs/2301.01390