We propose a class of {\rm AdS}_3/{\rm CFT}_2 dualities with N=(2,2) supersymmetry. These dualities relate string theory on {\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G} to marginal...

# Publications for year 2017

## Pages

We prove that the K-theoretic Nekrasov instanton partition functions have a finite radius of convergence in the instanton counting parameter and are holomorphic functions of the Coulomb...

We consider the interacting, spin conserving, extended Kane-Mele-Hubbard model, and we rigorously establish the exact quantization of the edge spin conductance and the validity of the Helical...

The quantum theory of indirect measurements in physical systems is studied. The example of an indirect measurement of an observable represented by a self-adjoint operator N with finite spectrum...

We derive the relativistic Vlasov equation from quantum Hartree dynamics for fermions with relativistic dispersion in the mean-field scaling, which is naturally linked with an effective...

For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed...

The TS/ST correspondence relates the spectral theory of certain quantum mechanical operators, to topological strings on toric Calabi-Yau threefolds. So far the correspondence has been formulated...

We study the edge transport properties of 2d interacting Hall systems, displaying single-mode chiral edge currents. For this class of many-body lattice models, including for instance the...

Let S be a smooth projective surface equipped with a line bundle H. Lehn's conjecture is a formula for the top Segre class of the tautological bundle associated to H on the Hilbert scheme of...

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings...

Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in RP^{3} which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebraic...

For an oriented 2-dimensional manifold \Sigma of genus g with n boundary components the space \mathbb{C}\pi_1(\Sigma)/[\mathbb{C}\pi_1(\Sigma), \mathbb{C}\pi_1(\Sigma)] carries the Goldman-...