427 citations · 746 across the 17 of their papers we have counts for
8 papers · 1 filter
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…