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Search: authors:"Evgeny I. Buchbinder"

9 papers found.
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Three-form multiplet and supersymmetry breaking

Recently, a nilpotent real scalar superfield V was introduced in [1] as a model for the Goldstino. It contains only two independent component fields, the Goldstino and the auxiliary D-field. Here we first show that V can equivalently be realised as a constrained three-form superfield. We demonstrate that every irreducible Goldstino superfield (of which the Goldstino is the only...

Non-vanishing superpotentials in heterotic string theory and discrete torsion

We study the non-perturbative superpotential in E 8 × E 8 heterotic string theory on a non-simply connected Calabi-Yau manifold X, as well as on its simply connected covering space \( \tilde{X} \). The superpotential is induced by the string wrapping holomorphic, isolated, genus 0 curves. According to the residue theorem of Beasley and Witten, the non-perturbative superpotential...

Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds

We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. Our methods are based on constructing the required bundle-valued forms explicitly and evaluating the relevant integrals over the projective ambient space. We also show how...

Holomorphic Yukawa couplings in heterotic string theory

We develop techniques, based on differential geometry, to compute holomorphic Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as complete intersections in projective spaces. It is shown explicitly how these techniques relate to algebraic methods for computing holomorphic Yukawa couplings. We apply our methods to various examples and evaluate the...

Implications of \( \mathcal{N}=4 \) superconformal symmetry in three spacetime dimensions

We study implications of \( \mathcal{N}=4 \) superconformal symmetry in three dimensions, thus extending our earlier results in [1] devoted to the \( \mathcal{N}\le 3 \) cases. We show that the three-point function of the supercurrent in \( \mathcal{N}=4 \) superconformal field theories contains two linearly independent forms. However, only one of these structures contributes to...

Superconformal field theory in three dimensions: correlation functions of conserved currents

For \( \mathcal{N} \)-extended superconformal field theories in three spacetime dimensions (3D), with 1 ≤ \( \mathcal{N} \) ≤ 3, we compute the two- and three-point correlation functions of the supercurrent and the flavour current multiplets. We demonstrate that supersymmetry imposes additional restrictions on the correlators of conserved currents as compared with the non...

A heterotic standard model with B − L symmetry and a stable proton

We consider heterotic Calabi-Yau compactifications with S(U(4) × U(1)) background gauge fields. These models lead to gauge groups with an additional U(1) factor which, under certain conditions, can combine with hypercharge to a B − L symmetry. The associated gauge boson is automatically super-massive and, hence, does not constitute a phenomenological problem. We illustrate this...

The moduli space of heterotic line bundle models: a case study for the tetra-quadric

It has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers of phenomenologically promising such models have been constructed for various classes of Calabi-Yau manifolds. In this paper we focus on a case study for the tetra-quadric—a Calabi-Yau hypersurface...