具有SU(1,n)时空对称性的费米子

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Joseph Smith
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引用次数: 0

摘要

我们在2n维Ω-deformed Minkowski背景下,从费米子的零约化出发,构造了具有SU(1, n)时空对称性的(2n−1)维自由费米子理论(n = 2和n = 3)。这些在5d SU(1,3)不变理论中发挥了作用,这些理论被推测为提供某些6d超共形场论的完整描述。我们找到了一个自由的2n维玻色子-费米子系统的超对称性的(2n−1)维表现形式,我们用它来固定费米子两点函数。然后证明了通过恢复可以恢复完整的2n维两点函数。考虑了理论的局限性,并观察到伽利略场论和卡罗场论出现在不同的状态。我们证实了相关函数服从SU(1, n) Ward恒等式,并讨论了费米子在这个群下的表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fermions with SU(1, n) spacetime symmetry
A bstract We construct theories of free fermions in (2 n − 1)-dimensions with SU(1 , n ) spacetime symmetry from the null reduction of fermions on a 2 n -dimensional Ω-deformed Minkowski background for n = 2 and n = 3. These play a role in the 5d SU(1 , 3)-invariant theories that are conjectured to offer a full description of certain 6d superconformal field theories. We find the (2 n − 1)-dimensional manifestation of the supersymmetry of a free 2 n -dimensional boson-fermion system, which we use to fix the fermion two-point functions. It is then shown that the full 2 n -dimensional two-point function can be recovered through resummation. Limits of the theories are considered, and it is observed that both Galilean and Carrollian field theories appear in different regimes. We confirm that the correlation functions obey the SU(1 , n ) Ward identities and the representations of the fermions under this group are discussed.
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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