دورية أكاديمية
Graßmannian integrals as matrix models for non-compact Yangian invariants
| العنوان: | Graßmannian integrals as matrix models for non-compact Yangian invariants |
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| المؤلفون: | Nils Kanning, Yumi Ko, Matthias Staudacher |
| المصدر: | Nuclear Physics B, Vol 894, Iss C, Pp 407-421 (2015) |
| بيانات النشر: | Elsevier, 2015. |
| سنة النشر: | 2015 |
| المجموعة: | LCC:Nuclear and particle physics. Atomic energy. Radioactivity |
| مصطلحات موضوعية: | Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| الوصف: | In the past years, there have been tremendous advances in the field of planar N=4 super Yang–Mills scattering amplitudes. At tree-level they were formulated as Graßmannian integrals and were shown to be invariant under the Yangian of the superconformal algebra psu(2,2|4). Recently, Yangian invariant deformations of these integrals were introduced as a step towards regulated loop-amplitudes. However, in most cases it is still unclear how to evaluate these deformed integrals. In this work, we propose that changing variables to oscillator representations of psu(2,2|4) turns the deformed Graßmannian integrals into certain matrix models. We exemplify our proposal by formulating Yangian invariants with oscillator representations of the non-compact algebra u(p,q) as Graßmannian integrals. These generalize the Brezin–Gross–Witten and Leutwyler–Smilga matrix models. This approach might make elaborate matrix model technology available for the evaluation of Graßmannian integrals. Our invariants also include a matrix model formulation of the u(p,q) R-matrix, which generates non-compact integrable spin chains. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 0550-3213 1873-1562 |
| Relation: | http://www.sciencedirect.com/science/article/pii/S0550321315000930; https://doaj.org/toc/0550-3213; https://doaj.org/toc/1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2015.03.011 |
| URL الوصول: | https://doaj.org/article/75c3e250cb4c4a89a09adbe6f2557871 |
| رقم الأكسشن: | edsdoj.75c3e250cb4c4a89a09adbe6f2557871 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 05503213 18731562 |
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| DOI: | 10.1016/j.nuclphysb.2015.03.011 |