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Introduction to conformal field theory and string theory

Description: These lectures are meant to provide a brief introduction to conformal field theory (CFT) and string theory for those with no prior exposure to the subjects. There are many excellent reviews already available, and most of these go in to much more detail than I will be able to here. 52 refs., 11 figs.
Date: December 1, 1989
Creator: Dixon, L.J.
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Partner: UNT Libraries Government Documents Department
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Recent developments in the Virasoro master equation

Description: The Virasoro master equation collects all possible Virasoro constructions which are quadratic in the currents of affine Lie g. The solution space of this system is immense, with generically irrational central charge, and solutions which have so far been observed are generically unitary. Other developments reviewed include the exact C-function, the superconformal master equation and partial classification of solutions by graph theory and generalized graph theories. 37 refs., 1 fig., 1 tab.
Date: September 3, 1991
Creator: Halpern, M.B.
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Partner: UNT Libraries Government Documents Department
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Hamiltonian flows, Su( infinity ), SO( infinity ), USp( infinity ), and strings

Description: Based on the infinite-dimensional algebras we have introduced, SU({infinity}) is identified with general Hamiltonian flows in 2-d phase-space, SO({infinity}) with flows generated by x-p-odd Hamiltonians, and USp({infinity}) with those of Hamiltonians of special symmetry. Gauge theories for SU({infinity}), SO({infinity}), and USp({infinity}) are thus formulated in terms of surface (sheet) coordinates for toroidal phase-space. Spacetime-independent configurations of their gauge fields directly yi… more
Date: January 1, 1989
Creator: Zachos, C.
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Partner: UNT Libraries Government Documents Department
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Lattice fields and strong interactions

Description: I review the lattice formulation of gauge theories and the use of numerical methods to investigate nonperturbative phenomena. These methods are directly applicable to studying hadronic matter at high temperatures. Considerable recent progress has been made in numerical algorithms for including dynamical fermions in such calculations. Dealing with a nonvanishing baryon density adds new unsolved challenges. 33 refs.
Date: June 1, 1989
Creator: Creutz, M.
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Partner: UNT Libraries Government Documents Department
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Example of a quantum field theory based on a nonlinear Lie algebra

Description: In this contribution to Tini Veltman's Festschrift we shall give a paedagogical account of our work on a new class of gauge theories called W gravities. They contain higher spin gauge fields, but the usual no-go theorems for interacting field theories with spins exceeding two do not apply since these theories are in two dimensions. It is, of course, well known that ghost-free interacting massless spin 2 fields ( the metric') are gauge fields, and correspond to the geometrical notion of general … more
Date: November 1, 1991
Creator: Schoutens, K. (State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics); Sevrin, A. (Lawrence Berkeley Lab., CA (United States)) & van Nieuwenhuizen, P. (European Organization for Nuclear Research, Geneva (Switzerland). Theory Div.)
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Partner: UNT Libraries Government Documents Department
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Quantum-mechanical derivation of the Davydov equations for multi-quanta states

Description: Our purpose here is to present a derivation of the Davydov equations which employs only quantum-mechanical techniques. The derivation here is more general than our previous treatment of this problem because we use an Ansatz which has present several quanta of the high frequency oscillator system rather than just one quantum. Since some steps of the calculation are the same as those in our paper which treats the single quantum case, reference will be made to that paper for some of the those deta… more
Date: January 1, 1989
Creator: Kerr, W.C. & Lomdahl, P.S.
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Partner: UNT Libraries Government Documents Department
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Mapping in inertial frames

Description: World space mapping in inertial frames is used to examine the Lorentz covariance of symmetry operations. It is found that the Galilean invariant concepts of simultaneity (S), parity (P), and time reversal symmetry (T) are not Lorentz covariant concepts for inertial observers. That is, just as the concept of simultaneity has no significance independent of the Lorentz inertial frame, likewise so are the concepts of parity and time reversal. However, the world parity (W) (i.e., the space-time reve… more
Date: May 1, 1989
Creator: Arunasalam, V.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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New Infinite-Dimensional Algebras, Sine Brackets, and SU (Infinity)

Description: We investigate the infinite dimensional algebras we have previously introduced, which involve trigonometric functions in their structure constants. We find a realization for them which provides a basis-independent formulation, identified with the algebra of sine brackets. A special family of them, the cyclotomic ones, contain SU(N) as invariant subalgebras. In this basis, it is evident by inspection that the algebra of SU(infinity) is equivalent to the centerless algebra of SDiff/sub 0/ on two-… more
Date: January 1, 1989
Creator: Zachos, C. K. & Fairlie, D. B.
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Partner: UNT Libraries Government Documents Department
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Singularity theory and N = 2 superconformal field theories

Description: The N = 2 superconformal field theories that appear at the fixed points of the renormalization group flows of Landau-Ginsburg models are discussed. Some of the techniques of singularity theory are employed to deduce properties of these superconformal theories. These ideas are then used to deduce the relationship between Calabi-Yau compactifications and tensored discrete series models. The chiral rings of general N = 2 superconformal theories are also described. 14 refs.
Date: January 1, 1989
Creator: Warner, N.P.
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Partner: UNT Libraries Government Documents Department
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Relativistic projection and boost of solitons

Description: This report discusses the following topics on the relativistic projection and boost of solitons: The center of mass problem; momentum eigenstates; variation after projection; and the nucleon as a composite. (LSP).
Date: January 1, 1991
Creator: Wilets, L.
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Partner: UNT Libraries Government Documents Department
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A higher derivative view of the arc length and area actions

Description: Higher derivative versions of the arc length and area actions are presented. The higher derivative theories are equivalent with the corresponding lower derivative theories in absence of interactions. The extra degrees of freedom associated with the higher derivatives are pure gauge due to a hidden reparametrization invariance these theories possess. The extra degrees of freedom are no longer pure gauge in the presence of background fields and the equivalence no longer holds. A string version of… more
Date: January 1, 1991
Creator: Zoller, D.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Weight diagram construction of Lax operators

Description: We review and expand methods introduced in our previous paper. It is proved that cyclic weight diagrams corresponding to representations of affine Lie algebras allow one to construct the associated Lax operator. The resultant Lax operator is in the Miura-like form and generates the modified KdV equations. The algorithm is extended to the super-symmetric case.
Date: October 1, 1991
Creator: Carbon, S. L. & Piard, E. J.
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Partner: UNT Libraries Government Documents Department
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Differential calculus on quantum spaces and quantum groups

Description: A review of recent developments in the quantum differential calculus. The quantum group GL[sub q](n) is treated by considering it as a particular quantum space. Functions on SL[sub q] (n) are defined as a subclass of functions on GL[sub q](n). The case of SO[sub q](n) is also briefly considered. These notes cover part of a lecture given at the XIX International Conference on Group Theoretic Methods in Physics, Salamanca, Spain 1992.
Date: December 10, 1992
Creator: Zumino, B.
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Partner: UNT Libraries Government Documents Department
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Decoherence of multimode thermal squeezed coherent states

Description: It is well known that any multimode positive definite quadratic Hamiltonian can be transformed into a hamiltonian of uncoupled harmonic oscillators. Based on this theorem, the multimode thermal squeezed coherent states are constructed in terms of density operators. Decoherence of multimode thermal squeezed coherent states in investigated via the characteristic function and it is shown that the decohered (reduced) states are still thermal squeezed coherent states in general.
Date: August 14, 1992
Creator: Yeh, L.
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Partner: UNT Libraries Government Documents Department
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Quantum Maps for Deformed Algebras

Description: We find explicit functionals that map SU(2) algebra generators to those of several quantum deformations of that algebra. We indicate how any such quantized algebra can be mapped to any other, and how representations of any such algebra can be expressed as simple functions of SU(2) representations. The representation theory and its comultiplication rules are thus systematized and streamlined by direct reference to their SU(2) correspondents. We speculate on quantum deformations of the Virasoro a… more
Date: January 1, 1990
Creator: Zachos, C. K.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Relativistic Projection and Boost of Solitons

Description: This report discusses the following topics on the relativistic projection and boost of solitons: The center of mass problem; momentum eigenstates; variation after projection; and the nucleon as a composite. (LSP).
Date: December 31, 1991
Creator: Wilets, Lawrence
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Applications of an algebraic Monge property

Description: When restricted to cost arrays possessing the sum Monge property, many combinatorial optimization problems with sum objective functions become significantly easier to solve. Examples include the usual sum-objective-function versions of the assignment problem, the transportation problem, the traveling-salesman problem, and several shortest-path problems. Furthermore, the more general algebraic assignment and transportation problems, which are formulated in terms of an ordered commutative semigro… more
Date: July 1, 1993
Creator: Bein, W. W.; Brucker, P. & Park, J. K.
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Partner: UNT Libraries Government Documents Department
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Di-hedral symmetry and charge conjugation

Description: The charge conjugation C and the parity P are assumed to generate a finite group without assuming any apriori commutation or anti-commutation relation. The group then generated is the di-hedral group D/sub n/ (n being even) which has two dimensional irreducible representations. This implies that we could have in principle, elementary particles with parity and charge-conjugation doublet structure.
Date: January 1, 1976
Creator: Okubo, S.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Example of a quantum field theory based on a nonlinear Lie algebra

Description: In this contribution to Tini Veltman`s Festschrift we shall give a paedagogical account of our work on a new class of gauge theories called W gravities. They contain higher spin gauge fields, but the usual no-go theorems for interacting field theories with spins exceeding two do not apply since these theories are in two dimensions. It is, of course, well known that ghost-free interacting massless spin 2 fields (`the metric`) are gauge fields, and correspond to the geometrical notion of general … more
Date: November 1, 1991
Creator: Schoutens, K.; Sevrin, A. & van Nieuwenhuizen, P.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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THE THEORY OF QUANTIZED FIELDS. II

Description: The arguments leading to the formulation of the Action Principle for a general field are presented. In association with the complete reduction of all numerical matrices into symmetrical and anti-symmetrical parts, the general field is decomposed into two sets, which are identified with Bose-Einstein and Fermi-Dirac fields. The spin restriction on the two kinds of fields is inferred from the time reflection invariance requirement. The consistency of the theory is verified in terms of a criterion… more
Date: January 1, 1951
Creator: Schwinger, J.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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ON ANGULAR MOMENTUM

Description: The commutation relations of an arbitrary angular momentum vector can be reduced to those of the harmonic oscillator. This provides a powerful method for constructing and developing the properties of angular momentum eigenvectors. In this paper many known theorems are derived in this way, and some new results obtained. Among the topics treated are the properties of the rotation matrices; the addition of two, three, and four angular momenta; and the theory of tensor operators.
Date: January 26, 1952
Creator: Schwinger, J.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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