Boundary effects in super-Yang–Mills theory
| Autor: | Mushtaq B. Shah, Mir Faizal, Prince A. Ganai, Zaid Zaz, Anha Bhat, Syed Masood |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 77, Iss 5, Pp 1-8 (2017) |
| Druh dokumentu: | article |
| ISSN: | 1434-6044 1434-6052 |
| DOI: | 10.1140/epjc/s10052-017-4861-2 |
| Popis: | Abstract In this paper, we shall analyze a three dimensional supersymmetry theory with $$\mathcal {N} = 2$$ N = 2 supersymmetry. We will analyze the quantization of this theory, in the presence of a boundary. The effective Lagrangian used in the path integral quantization of this theory, will be given by the sum of the gauge fixing term and the ghost term with the original classical Lagrangian. Even though the supersymmetry of this effective Lagrangian will also be broken due to the presence of a boundary, it will be demonstrated that half of the supersymmetry of this theory can be preserved by adding a boundary Lagrangian to the effective bulk Lagrangian. The supersymmetric transformation of this new boundary Lagrangian will exactly cancel the boundary term generated from the supersymmetric transformation of the effective bulk Lagrangian. We will analyze the Slavnov–Taylor identity for this $$\mathcal {N} = 2$$ N = 2 Yang–Mills theory with a boundary. |
| Databáze: | Directory of Open Access Journals |
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