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arXiv 2012.10243hep-thmath-phmath.MP
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超几何中的自对偶形式I:手征玻色子

Self-Dual Forms in Supergeometry I: The Chiral Boson

C. A. Cremonini, P. A. Grassi

摘要:

A.最近的研究结果具有自对偶场强度的量子场论模型使用弦场论作为出发点。在目前的工作中,我们表明,结合弦场论和超几何,我们可以提供一个建设性的方法,所有这些模型,任何超空间表示和任何给定的背景。分析是基于新的概念,伪形,出现在超几何,这打开了新的一页,在量子场论,特别是在超引力。目前的工作涉及一个明确的例子,在d=2的手征玻色子多重态的情况下。

英文摘要:

Recent results of A. Sen on quantum field theory models with self-dual field strengths use string field theory as a starting point. In the present work, we show that combining string field theory and supergeometry we can provide a constructive method for all these models, for any superspace representation and for any given background. The analysis is based on the new concept of pseudoform, emerging in supergeometry, which opens a new page in quantum field theory and, in particular, in supergravity. The present work deals with an explicit example, the case of the chiral boson multiplet in d=2.

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