79 citations · 399 across the 27 of their papers we have counts for
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The Lorentzian Space-Times of the Orientation-Orbifold String Systems
M. B. Halpern
To illustrate our recent discussions of the target space-times in general orbifold-string theories of permutation-type, we return here to a detailed analysis of some simple example…
The Orbifolds of Permutation-Type as Physical String Systems at Multiples of V. Cyclic Permutation Orbifolds
M. B. Halpern
I consider the prime free-bosonic permutation orbifolds as interacting physical string systems at . As a first step, I introduce twisted tree dia…
The Orbifolds of Permutation-Type as Physical String Systems at Multiples of III. The Spectra of Strings
M. B. Halpern
In the second paper of this series, I obtained the twisted BRST systems and extended physical-state conditions of all twisted open and closed strings. In this paper,…
The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26 II. The Twisted BRST Systems of \hatc=52 Matter
M. B. Halpern
This is the second in a series of papers which consider the orbifolds of permutation-type as candidates for new physical string systems at higher central charge. In the first paper…
The General Twisted Open WZW String
M. B. Halpern, C. Helfgott
We recently studied two large but disjoint classes of twisted open WZW strings: the open-string sectors of the WZW orientation orbifolds and the so-called basic class of twisted op…
A Basic Class of Twisted Open WZW Strings
M. B. Halpern, C. Helfgott
Recently, Giusto and Halpern reported the open-string description of a certain basic class of untwisted open WZW strings, including their associated non-commutative geometry and op…
On the Target-Space Geometry of Open-String Orientation-Orbifold Sectors
M. B. Halpern, C. Helfgott
Including world-sheet orientation-reversing automorphisms in the orbifold program, we recently reported the twisted operator algebra and twisted KZ equations in each open-string se…
On the Large N Limit of Conformal Field Theory
M. B. Halpern
Following recent advances in large N matrix mechanics, I discuss here the free (Cuntz) algebraic formulation of the large N limit of two-dimensional conformal field theories of chi…
Extended Operator Algebra and Reducibility in the WZW Permutation Orbifolds
M. B. Halpern, C. Helfgott
Recently the operator algebra, including the twisted affine primary fields, and a set of twisted KZ equations were given for the WZW permutation orbifolds. In the first part of thi…
Two Large Examples in Orbifold Theory: Abelian Orbifolds and the Charge Conjugation Orbifold on su(n)
M. B. Halpern, N. A. Obers
Recently the operator algebra and twisted vertex operator equations were given for each sector of all WZW orbifolds, and a set of twisted KZ equations for the WZW permutation orbif…
Large N Matrix Mechanics on the Light-Cone
M. B. Halpern, Charles B. Thorn
We report a simplification in the large N matrix mechanics of light-cone matrix field theories. The absence of pure creation or pure annihilation terms in the Hamiltonian formulati…
Hamiltonian Formulation of Open WZW Strings
S. Giusto, M. B. Halpern
Using a Hamiltonian approach, we construct the classical and quantum theory of open WZW strings on a strip. (These are the strings which end on WZW branes.) The development involve…
General Virasoro Construction on Orbifold Affine Algebra
J. Evslin, M. B. Halpern, J. E. Wang
We obtain the orbifold Virasoro master equation (OVME) at integer order lambda, which summarizes the general Virasoro construction on orbifold affine algebra. The OVME includes the…
Infinite Dimensional Free Algebra and the Forms of the Master Field
M. B. Halpern, C. Schwartz
We find an infinite dimensional free algebra which lives at large N in any SU(N)-invariant action or Hamiltonian theory of bosonic matrices. The natural basis of this algebra is a…
The Algebras of Large N Matrix Mechanics
M. B. Halpern, C. Schwartz
Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and supersymmetric matrix models, including Matrix theory: The Hamiltonian framework o…
Conformal Field Theories: From Old to New
Jan de Boer, M. B. Halpern
In a short review of recent work, we discuss the general problem of constructing the actions of new conformal field theories from old conformal field theories. Such a construction…
New Spin-Two Gauged Sigma Models and General Conformal Field Theory
Jan de Boer, M. B. Halpern
Recently, we have studied the general Virasoro construction at one loop in the background of the general non-linear sigma model. Here, we find the action formulation of these new c…
Asymptotic Search for Ground States of SU(2) Matrix Theory
M. B. Halpern, C. Schwartz
We introduce a complete set of gauge-invariant variables and a generalized Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic solutions of the Schroding…
New Semiclassical Nonabelian Vertex Operators for Chiral and Nonchiral WZW Theory
M. B. Halpern, N. A. Obers
We supplement the discussion of Moore and Reshetikhin and others by finding new semiclassical nonabelian vertex operators for the chiral, antichiral and nonchiral primary fields of…
Unified Einstein-Virasoro Master Equation in the General Non-Linear Sigma Model
J. de Boer, M. B. Halpern
The Virasoro master equation (VME) describes the general affine-Virasoro construction $T=L^{ab}J_aJ_b+iD^a \dif J_a$ in the operator algebra of the WZW model, where is the…
Semi-Classical Blocks and Correlators in Rational and Irrational Conformal Field Theory
M. B. Halpern, N. A. Obers
The generalized Knizhnik-Zamolodchikov equations of irrational conformal field theory provide a uniform description of rational and irrational conformal field theory. Starting from…
The WZW Model as a Dynamical System on Affine Lie Groups
K. Clubok, M. B. Halpern
Working directly on affine Lie groups, we construct several new formulations of the WZW model. In one formulation WZW is expressed as a one-dimensional mechanical system whose vari…
The Generic World-Sheet Action of Irrational Conformal Field Theory
K. Clubok, M. B. Halpern
We review developments in the world-sheet action formulation of the generic irrational conformal field theory, including the non-linear and the linearized forms of the action. Thes…
Irrational Conformal Field Theory
M. B. Halpern, E. Kiritsis, N. Obers +1
This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master…