The heterotic sigma model in the presence of background gauge fields. Three-loop results期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The heterotic sigma model in the presence of background gauge fields. Three-loop results

Affiliation:	1. College of Mathematics and Econometrics, Hunan University, 410082, Changsha, PR China;2. Departamento de Matemática Aplicada, Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022, Valencia, Spain;3. Faculty of Science, Guangxi University for Nationalities, 530006, Nanning, PR China;1. Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, 80131 Napoli, Italy;2. Dipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italy;3. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic;4. Mathematical Institute, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany;1. Goethe-Universität Frankfurt, Institut für Mathematik, Robert-Mayer-Str. 10, D-60629 Frankfurt, Germany;2. African Institute for Mathematical Sciences in Senegal (AIMS Senegal), KM2, Route de Joal, B.P. 14 18, Mbour, Sénégal

Abstract:	The covariant part of the β-functions for the heterotic σ-model in the presence of background gauge fields is calculated up to three-loop order. The equations β=0 are shown to coincide with the equations of motion derived from an effective space-time action. This effective action has been obtained previously via the string S-matrix approach.

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