تقرير
Some Lower Dimensional Quantum Field Theories Reduced from Chern-Simons Gauge Theories
| العنوان: | Some Lower Dimensional Quantum Field Theories Reduced from Chern-Simons Gauge Theories |
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| المؤلفون: | Oğuz, Burak, Tekin, Bayram |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology, Mathematical Physics |
| الوصف: | We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions. Although pure Chern-Simons theories do not admit solitonic solutions, symmetry reduction still leads to interesting results. We establish relations at the semiclassical regime between pure Chern-Simons theories on $S^3$ and the reduced Quantum Field Theories, based on actions obtained by the symmetry reduction of the Chern-Simons action, spherical symmetry being the prominent one. We also discuss symmetry reductions of Chern-Simons theories on the disk, yielding $BF$-theory in two dimensions, which signals a curious relationship between symmetry reductions and the boundary conformal field theories. Finally, we study the Chern-Simons-Higgs instantons and show that under certain circumstances, the reduced action can formally be viewed as the action of a supersymmetric quantum mechanical model. We discuss the extent to which the reduced actions have a fermionic nature at the level of the partition function. Comment: This was supposed to be a replacement for an already submitted paper arXiv:2405.09473, but we accidentally submitted it as a new paper arXiv:2407.17943. We withdraw arXiv:2407.17943 and publish the same documents as the replaced (second) version for arXiv:2405.09473 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.17943 |
| رقم الأكسشن: | edsarx.2407.17943 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |