427 citations · 746 across the 17 of their papers we have counts for
16 papers
A note on GMP algebra, dipole symmetry, and Hohenberg-Mermin-Wagner theorem in the lowest Landau level
Lev Spodyneiko
After projection to the lowest Landau level translational invariance and particle conservation combine into dipole symmetry. We show that the new symmetry forbids spontaneous $U(1)…
Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
Anton Kapustin, Lev Spodyneiko
We study the possibility of spontaneous symmetry breaking in systems with both charge and dipole symmetries. For -dimensional systems at a positive temperature, we show that cha…
Microscopic formulas for thermoelectric transport coefficients in lattice systems
Anton Kapustin, Lev Spodyneiko
A macroscopic description of thermoelectric phenomena involves several tensorial transport coefficients. Textbook microscopic Kubo formulas for them are plagued with ambiguities in…
Nernst and Ettingshausen effects in gapped quantum materials
Michael Levin, Anton Kapustin, Lev Spodyneiko
We investigate whether there could exist topological invariants of gapped 2D materials related to dissipationless thermoelectric transport at low temperatures. We give both macrosc…
Higher-dimensional generalizations of the Thouless charge pump
Anton Kapustin, Lev Spodyneiko
We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension . We show how to attach a topological invariant to a -dimensional family of…
Higher-dimensional generalizations of the Berry curvature
Anton Kapustin, Lev Spodyneiko
A family of finite-dimensional quantum systems with a non-degenerate ground state gives rise to a closed 2-form on the parameter space: the curvature of the Berry connection. Its c…
Thermal Hall conductance and a relative topological invariant of gapped two-dimensional systems
Anton Kapustin, Lev Spodyneiko
We derive a Kubo-like formula for the thermal Hall conductance of a 2d lattice systems which is free from ambiguities associated with the definition of energy magnetization. We use…
Absence of energy currents in an equilibrium state and chiral anomalies
Anton Kapustin, Lev Spodyneiko
A long time ago F. Bloch showed that in a system of interacting non-relativistic particles the net particle-number current must vanish in any equilibrium state. Bloch's argument do…
De Sitter Space and the Swampland
Georges Obied, Hirosi Ooguri, Lev Spodyneiko +1
It has been notoriously difficult to construct a meta-stable de Sitter (dS) vacuum in string theory in a controlled approximation. This suggests the possibility that meta-stable dS…
On dual description of the deformed sigma model
A. V. Litvinov, L. A. Spodyneiko
We study dual strong coupling description of integrability-preserving deformation of the sigma model. Dual theory is described by a coupled theory of Dirac fermions with fou…
New Kaluza-Klein Instantons and Decay of AdS Vacua
Hirosi Ooguri, Lev Spodyneiko
We construct a generalization of Witten's Kaluza-Klein instanton, where a higher-dimensional sphere (rather than a circle as in Witten's instanton) collapses to zero size and the g…
On W algebras commuting with a set of screenings
Alexey Litvinov, Lev Spodyneiko
We consider the problem of classification of all W algebras which commute with a set of exponential screening operators. Assuming that the W algebra has a nontrivial current of spi…
Flat structures on Frobenius Manifolds in the case of irrelevant deformations
A. Belavin, L. Spodyneiko
In this paper we use the recently suggested conjecture about the integral representation for the flat coordinates on Frobenius manifolds, connected with the isolated singularities,…
N = 2 superconformal algebra in NSR string and Gepner approach to space-time supersymmetry in ten dimensions
Alexander Belavin, Lev Spodyneiko
The fermionic NSR string possesses a hidden N = 2 superconformal algebra on the world-sheet. In this work, we show how to use an isomorphism of this algebra, the so-called spectral…
AGT correspondence, Ding-Iohara algebra at roots of unity and Lepowsky-Wilson construction
Lev Spodyneiko
It was recently conjectured that the AGT correspondence between the -instanton counting on and the two-dimensional field theories with the conformal…
Minimal Liouville Gravity on the Torus via Matrix Models
Lev Spodyneiko
In this paper we use recent results on resonance relations between the matrix models and the minimal Liouville gravity to compute the torus correlation numbers in (3,p) minimal Lio…