Exploring the vacuum geometry of \(\mathcal N=1\) gauge theories

DOI10.1016/j.nuclphysb.2006.06.001zbMath1214.81271arXivhep-th/0604208OpenAlexW1976120611MaRDI QIDQ879888

Yang-Hui He, Brent D. Nelson, Vishnu Jejjalaa, James A. Gray

Publication date: 10 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0604208

Mathematics Subject Classification ID

Unified quantum theories (81V22) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13)

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Uses Software

• Macaulay2
• SINGULAR

Cites Work

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• Vacuum geometry and the search for new physics
• On the geometry of the string landscape and the swampland
• Consequences of the complex character of the internal symmetry in supersymmetric theories
• Orbifold resolution by D-branes
• On conformal field theories in four dimensions.
• Superconformal field theory on threebranes at a Calabi-Yau singularity
• Non-abelian finite gauge theories
• D-brane gauge theories from toric singularities and toric duality
• Flat directions in the scalar potential of the supersymmetric standard model
• Lower bounds for the polynomial calculus and the Gröbner basis algorithm
• Phases of \(N=2\) theories in two dimensions
• 4D Conformal Field Theories and Strings on Orbifolds
• D-branes at singularities: A bottom-up approach to the string embedding of the standard model