تقرير
Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
| العنوان: | Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes |
|---|---|
| المؤلفون: | Ashwinkumar, Meer, Schmidt, Lennart, Tan, Meng-Chwan |
| المصدر: | JHEP 07 (2021) 172 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Quantum Physics |
| الوصف: | We present an explicit matrix algebra quantization of the algebra of volume-preserving diffeomorphisms of the $n$-torus. That is, we approximate the corresponding classical Nambu brackets using $\mathfrak{sl}(N^{\lceil\frac{n}{2}\rceil},\mathbb{C})$-matrices equipped with the finite bracket given by the completely anti-symmetrized matrix product, such that the classical brackets are retrieved in the $N\rightarrow \infty$ limit. We then apply this approximation to the super $4$-brane in $9$ dimensions and give a regularized action in analogy with the matrix quantization of the supermembrane. This action exhibits a reduced gauge symmetry that we discuss from the viewpoint of $L_\infty$-algebras in a slight generalization to the construction of Lie $2$-algebras from Bagger--Lambert $3$-algebras. Comment: 36 pages. Updated title and refined presentation. Published in JHEP |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP07(2021)172 |
| URL الوصول: | http://arxiv.org/abs/2103.06666 |
| رقم الأكسشن: | edsarx.2103.06666 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP07(2021)172 |
|---|