GENERAL VIRASORO CONSTRUCTION ON ORBIFOLD AFFINE ALGEBRA

DOI10.1142/S0217751X99002360zbMath1049.81034arXivhep-th/9904105OpenAlexW3106134291MaRDI QIDQ4944658

J. E. Wang, M. B. Halpern, Jarah Evslin

Publication date: 22 June 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9904105

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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)

Related Items (18)

TWO LARGE EXAMPLES IN ORBIFOLD THEORY: ABELIAN ORBIFOLDS AND THE CHARGE CONJUGATION ORBIFOLD ON ${\mathfrak{su}}(n)$ ⋮ Orbifolds of permutation type as physical string systems at multiples of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn>26</mml:mn></mml:math>. IV. Orientation orbifolds include orientifolds ⋮ THE GENERAL COSET ORBIFOLD ACTION ⋮ THE ORBIFOLD-STRING THEORIES OF PERMUTATION-TYPE III: LORENTZIAN AND EUCLIDEAN SPACE—TIMES IN A LARGE EXAMPLE ⋮ THE ORBIFOLDS OF PERMUTATION-TYPE AS PHYSICAL STRING SYSTEMS AT MULTIPLES OF c = 26 II: THE TWISTED BRST SYSTEMS OF ${\hat c} = 52$ MATTER ⋮ The orbifold-string theories of permutation-type: I. One twisted BRST per cycle per sector ⋮ CYCLIC COSET ORBIFOLDS ⋮ MORE ABOUT ALL CURRENT-ALGEBRAIC ORBIFOLDS ⋮ The orbifolds of permutation type as physical string systems at multiples of c=26V. Cyclic permutation orbifolds ⋮ The orbifolds of permutation-type as physical string systems at multiples of \(c=26\). III: The spectra of \(\hat c =52\) strings ⋮ A BASIC CLASS OF TWISTED OPEN WZW STRINGS ⋮ EXTENDED OPERATOR ALGEBRA AND REDUCIBILITY IN THE WZW PERMUTATION ORBIFOLDS ⋮ THE GENERAL TWISTED OPEN WZW STRING ⋮ TWISTED OPEN STRINGS FROM CLOSED STRINGS: THE WZW ORIENTATION ORBIFOLDS ⋮ THE ORBIFOLD-STRING THEORIES OF PERMUTATION-TYPE II: CYCLE DYNAMICS AND TARGET SPACE–TIME DIMENSIONS ⋮ Twisted Einstein Tensors and Orbifold Geometry ⋮ On the target-space geometry of open-string orientation-orbifold sectors ⋮ NEW DUALITY TRANSFORMATIONS IN ORBIFOLD THEORY

Cites Work

• Branching functions for winding subalgebras and tensor products
• Virasoro algebras and coset space models
• Current algebras and Wess-Zumino model in two dimensions
• Conformal deformation by the currents of affine g
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• Elliptic genera of symmetric products and second quantized strings
• Characters and modular properties of permutation orbifolds
• Graph theory, \(SO(n)\) current algebra and the Virasoro master equation
• LINEARIZED FORM OF THE GENERIC AFFINE-VIRASORO ACTION
• SEMICLASSICAL BLOCKS AND CORRELATORS IN RATIONAL AND IRRATIONAL CONFORMAL FIELD THEORY
• QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• THE LIE h-INVARIANT CONFORMAL FIELD THEORIES AND THE LIE h-INVARIANT GRAPHS
• SYSTEMATIC APPROACH TO CYCLIC ORBIFOLDS
• NEW SPIN-2 GAUGED SIGMA MODELS AND GENERAL CONFORMAL FIELD THEORY
• Lie algebras associated with generalized Cartan matrices

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