We show for a series of six small donor-acceptor dyads that the energy difference between non-charge transfer (non-CT) and charge transfer (CT) excited states, as well as the squares of the electronic couplings between these states, can be predicted from first-principles using variational orbital adapted configuration interaction singles (VOA-CIS) theory. VOA-CIS correctly predicts the observed...

1.1 Notation In this note, N denotes the set of non-negative integers, i.e. N = {0, 1, 2, . . . }. Let V be a C-linear space and z a formal variable. We introduce the following linear spaces: V [z] := {n∈N vnz | vn ∈ V, vn = 0 for all but finitely many n}, V [z, z−1] := {n∈Z vnz | vn ∈ V, vn = 0 for all but finitely many n}, V [[z]] := {n∈N vnz | vn ∈ V }, V [[z, z−1]] := {n∈Z vnz | vn ∈ V }, V...

The persistence of a reservoir of latently infected CD4 T cells remains one of the major obstacles to cure HIV. Numerous strategies are being explored to eliminate this reservoir. To translate these efforts into clinical trials, there is a strong need for validated biomarkers that can monitor the reservoir over time in vivo. A comprehensive study was designed to evaluate and compare potential H...

This paper confirms the huge benefits of Factor Analysis over Maximum A-Posteriori adaptation for language recognition (up to 87% relative gain). We investigate ways to cope with the particularity of NIST’s LRE 2009, containing Conversational Telephone Speech (CTS) and phone bandwidth segments of radio broadcasts (Voice Of America, VOA). We analyze GMM systems using all data pooled together, ei...

We study McKay’s observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E8 diagram, using the theory of vertex operator algebras (VOAs). We first consider the sublattices L of the E8 lattice obtained by removing one node from the extended E8 diagram at each time. We then construct a certain coset (or commutant) subalgebra U associat...

We generalize Conway-Sloane's constructions of the Leech lattice from Niemeier lattices using Lorentzian to holomorphic vertex operator algebras (VOA) central charge 24. It provides a tool for analyzing structures and relations among VOAs related by orbifold construction. In particular, we are able get some useful information about certain subVOAs associated with Cartan subalgebra weight one Li...

We study a vertex operator algebra (VOA) V related to the M(3, p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl2. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl2. Our main concern is the subspace W generated by this action from the highest weight vector of V . Using the Fo...

Vertex operator algebras (VOA) were introduced in physics by Belavin, Polyakov and Zamolodchikov [BPZ] and in mathematics by Borcherds [B]. For a detailed exposition of the theory of VOAs see [FLM] and [FHL]. In a remarkable development of the theory, Zhu [Z] constructed an associative algebra A(V ) corresponding to a VOA V and established a 1-1 correspondence between the irreducible representa...

Abstract In several examples it has been observed that a module category of vertex operator algebra (VOA) is equivalent to representations some quantum group. The present article concerned with developing such duality in the case Virasoro VOA at generic central charge; arguably most rudimentary all VOAs, yet structurally complicated. We do not address modules VOA, but we consider infinitely man...