Twisted Einstein Tensors and Orbifold Geometry

DOI10.1142/S0217751X03015271zbMath1161.81419arXivhep-th/0212275MaRDI QIDQ4452511

Jan de Boer, C. Helfgott, M. B. Halpern

Publication date: 1 March 2004

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0212275

zbMATH Keywords

conformal field theoryorbifoldsEinstein equationscurrent algebras

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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Cites Work

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• Virasoro algebras and coset space models
• String models with \(c<1\) components
• Current algebras and Wess-Zumino model in two dimensions
• The operator algebra of orbifold models
• Matrix string theory
• Affine orbifolds and rational conformal field theory extensions of \(W_{1+\infty}\)
• Characters and modular properties of permutation orbifolds
• Irrational conformal field theory
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• THE WZW MODEL AS A DYNAMICAL SYSTEM ON AFFINE LIE GROUPS
• THE LIE h-INVARIANT CONFORMAL FIELD THEORIES AND THE LIE h-INVARIANT GRAPHS
• SYSTEMATIC APPROACH TO CYCLIC ORBIFOLDS
• EXTENDED OPERATOR ALGEBRA AND REDUCIBILITY IN THE WZW PERMUTATION ORBIFOLDS
• TWO LARGE EXAMPLES IN ORBIFOLD THEORY: ABELIAN ORBIFOLDS AND THE CHARGE CONJUGATION ORBIFOLD ON ${\mathfrak{su}}(n)$
• THE GENERAL COSET ORBIFOLD ACTION
• GENERAL VIRASORO CONSTRUCTION ON ORBIFOLD AFFINE ALGEBRA
• Lie algebras associated with generalized Cartan matrices
• Symmetry breaking boundary conditions and WZW orbifolds
• Fundamental strings in D\(p\)-D\(q\) brane systems