Zobrazeno 1 - 10
of 256
pro vyhledávání: '"Picard, Sébastien"'
We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory. We compute these cohomology groups at the standard embedding, and show that they decompose into a direct sum of cohomologies
Externí odkaz:
http://arxiv.org/abs/2409.04350
We study the geometry of Calabi-Yau conifold transitions. This deformation process is known to possibly connect a K\"ahler threefold to a non-K\"ahler threefold. We use balanced and Hermitian-Yang-Mills metrics to geometrize the conifold transition a
Externí odkaz:
http://arxiv.org/abs/2404.11840
Autor:
Picard, Sébastien
This is a survey on the Strominger system and a geometric flow known as the anomaly flow. We will discuss various aspects of non-K\"ahler geometry on Calabi-Yau threefolds. Along the way, we discuss balanced metrics and balanced classes, the Aeppli c
Externí odkaz:
http://arxiv.org/abs/2402.17770
We consider N=1, d=4 vacua of heterotic theories in the large radius limit in which alpha' << 1. We construct a real differential operator $\mathcal{D}= D+\bar{D}$ on an extension bundle $(Q, \mathcal{D})$ with underlying topology $Q=(T^{1,0}X)^* \op
Externí odkaz:
http://arxiv.org/abs/2402.10354
Autor:
Picard, Sébastien, Wu, Pei-Lin
In this paper, we fix the complex structure and explore the moduli space of the heterotic system by considering two different yet "dual" deformation paths starting from a K\"ahler solution. They correspond to deformation along the Bott-Chern cohomolo
Externí odkaz:
http://arxiv.org/abs/2401.05331
We study the Strominger system with fixed balanced class. We show that classes which are the square of a K\"ahler metric admit solutions to the system for vector bundles satisfying the necessary conditions. Solutions are constructed by deforming a Ca
Externí odkaz:
http://arxiv.org/abs/2211.03784
Autor:
Picard, Sébastien, Suan, Caleb
We establish a correspondence between a parabolic complex Monge-Amp\`ere equation and the $G_2$-Laplacian flow for initial data produced from a K\"ahler metric on a complex $2$- or $3$-fold. By applying estimate for the complex Monge-Amp\`ere equatio
Externí odkaz:
http://arxiv.org/abs/2209.03411
In this paper the dynamical stability of the Type IIA flow with no source near its stationary points is established. These stationary points had been shown previously by the authors to be Ricci-flat K\"ahler metrics on Calabi-Yau 3-folds. The dynamic
Externí odkaz:
http://arxiv.org/abs/2112.15580
We construct special Lagrangian 3-spheres in non-K\"ahler compact threefolds equipped with the Fu-Li-Yau geometry. These non-K\"ahler geometries emerge from topological transitions of compact Calabi-Yau threefolds. From this point of view, a conifold
Externí odkaz:
http://arxiv.org/abs/2111.10355
Let $X$ be a compact, K\"ahler, Calabi-Yau threefold and suppose $X\mapsto \underline{X}\leadsto X_t$ , for $t\in \Delta$, is a conifold transition obtained by contracting finitely many disjoint $(-1,-1)$ curves in $X$ and then smoothing the resultin
Externí odkaz:
http://arxiv.org/abs/2102.11170