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arXiv 1702.05755hep-thmath-phmath.MP
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超空间中Lorentz违反$p$ -形式规范理论

Lorentz Violating $p$-form Gauge Theories in Superspace

Sudhaker Upadhyay, Mushtaq B. Shah, Prince A. Ganai

摘要:

非常狭义相对论(VSR)保持了狭义相对论的主要特征,但由于一个内在的优选方向而破坏了旋转不变性。研究了$p=1,2,3$形式规范理论中Batalin-Vilkovisky(BV)作用量的VSR修正的扩展BRST和反BRST对称性.在VSR框架内,我们讨论了这些BV动作的扩展BRST不变量以及扩展BRST和反BRST不变量超空间公式。在这里,我们观察到,VSR修改的扩展BRST不变BV作用量对应的$p=1,2,3$ -形式的规范理论可以写在一个超空间与一个格拉斯曼坐标显着协变的方式。此外,需要两个格拉斯曼坐标来描述超空间中的VSR修改的扩展BRST和扩展的反BRST不变BV动作。这些结果与洛伦兹不变量(狭义相对论)公式是一致的。

英文摘要:

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance due to an intrinsic preferred direction. We study the VSR modified extended BRST and anti-BRST symmetry of the Batalin-Vilkovisky (BV) actions corresponding to the $p=1,2,3$-form gauge theories. Within VSR framework, we discuss the extended BRST invariant and extended BRST and anti-BRST invariant superspace formulations for these BV actions. Here we observe that the VSR modified extended BRST invariant BV actions corresponding to the $p=1,2,3$-form gauge theories can be written manifestly covariant manner in a superspace with one Grassmann coordinate. Moreover, two Grassmann coordinates are required to describe the VSR modified extended BRST and extended anti-BRST invariant BV actions in a superspace. These results are consistent with the Lorentz invariant (special relativity) formulation.

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