Superfield Approaches to a Model of Bosonic String: Curci-Ferrari-Type Restrictions

IF 1.5 4区物理与天体物理 Q3 PHYSICS, PARTICLES & FIELDS

Advances in High Energy Physics Pub Date : 2021-02-21 DOI:10.1155/2022/9505924

A. Tripathi, A. Rao, R. Malik

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引用次数: 5

Abstract

Exploiting the theoretical potential of the modified Bonora-Tonin superfield approach (MBTSA) as well as the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism, we derive the complete set of off-shell nilpotent (anti-)BRST symmetry transformations corresponding to the classical two- 1 + 1 dimensional (2D) diffeomorphism symmetry transformations on the worldsheet (that is traced out by the motion of a model of bosonic string). Only the BRST symmetry transformations for this model have been discussed in the earlier literature. We derive the (anti-)BRST invariant Curci-Ferrari- (CF-) type restrictions (using MBTSA) which turn out to be the root cause behind the absolute anticommutativity of the above (anti-)BRST symmetry transformations. We capture the symmetry invariance of the (anti-)BRST invariant Lagrangian densities within the ambit of ACSA. The derivation of the proper anti-BRST transformations (corresponding to the already-known BRST transformations) and the (anti-)BRST invariant CF-type restrictions are the novel results in our present endeavor.

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玻色子弦模型的超场方法：Curci-Ferrari型限制

利用改进的Bonora-Tonin超场方法（MBTSA）和（反）手性超场方法的理论潜力，我们导出了一组完整的离壳幂零（反）BRST对称变换，这些变换对应于世界表上的经典的两个1+1维（2D）微分同胚对称变换（通过玻色子串模型的运动来追踪）。在早期的文献中只讨论了该模型的BRST对称变换。我们导出了（反）BRST不变的Curci-Ferrari（CF-）型限制（使用MBTSA），这是上述（反）BRST对称变换的绝对反互易性背后的根本原因。我们捕获了ACSA范围内（反）BRST不变拉格朗日密度的对称不变性。正确的反BRST变换（对应于已知的BRST变换）和（反）BRST不变CF类型限制的推导是我们目前努力的新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

3.40

自引率

5.90%

发文量

审稿时长

6-12 weeks

期刊介绍： Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.