Twisting two layers into a magic angle (MA) of ~1.1{\deg} is found essential to create low energy flat bands and the resulting correlated insulating, superconducting, magnetic phases in twisted bilayer graphene (TBG). While most previous works focus on revealing these emergent states MA-TBG, study twist dependence, which helps map an evolution phases, yet less explored. Here, we report magneto-...

Let ψ be the period map for a family of the cyclic triple coverings of the complex projective line branching at six points. The symmetric group S6 acts on this family and on its image under ψ. In this paper, we give an S6-equivariant expression of ψ −1 in terms of fifteen theta constants.

Contents 1. Introduction 1 2. Semistable bundles 2 2.1. Arbitrary vector bundles 2 2.2. Semistable vector bundles 4 2.3. Example: Lazarsfeld's bundles 6 2.4. Example: Raynaud's bundles 8 2.5. The moduli space 9 3. Generalized theta divisors 11 4. Quot schemes and stable maps 14 5. Verlinde formula and Strange Duality 16 5.1. Verlinde formula 16 5.2. Strange Duality 18 6. Base points 20 6.1. Abs...

The position of a retinal cell is defined by the two polar coordinates: r, the distance from the optic disc, and theta, the angular (or clock-face) position. Axons of similar theta value were labeled by the punctate application of horseradish peroxidase (HRP) to optic axons in the retina, and axons of similar r-value were labeled by the application of this same marker to a tectal fascicle. Labe...

Adding a topological theta term to the action of $\mathcal{N}{=}\,1$ $D{=}4$ super Yang-Mills theory modifies its Nicolai map. For BPS value angle chiral version map emerges, which allows for considerable simplification compared non-chiral formulation. We exhibit these improvements all orders in perturbation and compute fourth order coupling on Laudau-gauge hypersurface. The second-order contri...

We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fiber of their momentum map. As an application we show that the general fiber of the momentum map of the periodic Volterra lattice ȧi = ai(ai−1 − ai+1), i = 1, . . . , n, an+1 = a1, is an affine part of a hyperelliptic ...

For any lacunary sequence $theta = (k_{r})$, we define the concepts of $S_{theta}-$limit point and $S_{theta}-$cluster point of a sequence of fuzzy numbers $X = (X_{k})$. We introduce the new sets  $Lambda^{F}_{S_{theta}}(X)$, $Gamma^{F}_{S_{theta}}(X)$ and prove some inclusion relaions between these and the sets $Lambda^{F}_{S}(X)$, $Gamma^{F}_{S}(X)$ introduced in ~cite{Ayt:Slpsfn} by Aytar [...

Introduction: A good understanding of the geometry of a theta divisor Θ of a principally polarized abelian variety (A,Θ) requires a knowledge of properties of its canonical linear system, the Gauss linear system |OΘ(Θ)|. A striking feature of the theta divisor Θ(C) of the Jacobian of a curve C is that the dual of the branch divisor of the associated Gauss map γΘ on Θ, is not a hypersurface as e...

objective: the aim of this study was to assess and compare the effect of two neurofeedback protocols (smr/theta and beta/theta) on adhd symptoms, selective attention and eeg (electroencephalogram) parameters in children with adhd. method: the sample consisted of 16 children (9-15 year old: 13 boys; 3 girls) with adhd-combined type (adhd-c). all of children used methylphenidate (mph) during the ...

Multi-way Theta-join queries are powerful in describing complex relations and therefore widely employed in real practices. However, existing solutions from traditional distributed and parallel databases for multi-way Theta-join queries cannot be easily extended to fit a shared-nothing distributed computing paradigm, which is proven to be able to support OLAP applications over immense data volum...