تقرير
Vertex algebras from the Hull-Strominger system
| العنوان: | Vertex algebras from the Hull-Strominger system |
|---|---|
| المؤلفون: | Álvarez-Cónsul, Luis, de La Hera, Andoni De Arriba, Garcia-Fernandez, Mario |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, High Energy Physics - Theory, Mathematics - Algebraic Geometry, Mathematics - Quantum Algebra |
| الوصف: | Motivated by the programme on mirror symmetry for non-K\"ahler manifolds, we construct representations of the $N=2$ superconformal vertex algebra associated to solutions of the Hull-Strominger system. The construction is via embeddings of the $N=2$ superconformal vertex algebra in the chiral de Rham complex of a string Courant algebroid. Our results require that the connection $\nabla$, one of the unknowns of the system, is Hermitian-Yang-Mills. Our main theorem proves that any solution of the Hull-Strominger system satisfying this condition has an associated $N=2$ embedding. Comment: 72 pages. Improved versions of the main results, which remove the hypothesis on the torsion bivector. In particular, Conjecture 1.2 in the previous version is settled in the affirmative |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.06836 |
| رقم الأكسشن: | edsarx.2305.06836 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |