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Torsion and geometrostasis in covariant superstrings

Description: The covariant action for freely propagating heterotic superstrings consists of a metric and a torsion term with a special relative strength. It is shown that the strength for which torsion flattens the underlying 10-dimensional superspace geometry is precisely that which yields free oscillators on the light cone. This is in complete analogy with the geometrostasis of two-dimensional sigma-models with Wess-Zumino interactions. 13 refs.
Date: January 1, 1985
Creator: Zachos, C.
Partner: UNT Libraries Government Documents Department

Fermionic center in the superconformal algebra on the supertorus

Description: Krichever and Novikov (KN) have introduced a generalization of the Virasoro algebra which describes conformal transformations on a Riemann surface of arbitrary genus. We examine their genus one algebra, find explicit expressions for its center, and discuss connections and symmetries among the algebra constants. We then proceed to construct explicitly the corresponding superconformal algebra on the supertorus. An intriguing feature of the NS odd spin structure algebra is that it is enriched by a central element which is anticommuting. 6 refs.
Date: January 1, 1988
Creator: Zachos, C.K.
Partner: UNT Libraries Government Documents Department

A survey of star product geometry.

Description: A brief pedagogical survey of the star product is provided, through Groenewold's original construction based on the Weyl correspondence. It is then illustrated how simple Landau orbits in a constant magnetic field, through their Dirac Brackets, define a noncommutative structure since these brackets exponentiate to a star product--a circumstance rarely operative for generic Dirac Brackets. The geometric picture of the star product based on its Fourier representation kernel is utilized in the evaluation of chains of star products. The intuitive appreciation of their associativity and symmetries is thereby enhanced. This construction is compared and contrasted with the remarkable phase space polygon construction of Almeida.
Date: August 15, 2000
Creator: Zachos, C.
Partner: UNT Libraries Government Documents Department

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-dimensional manifolds. Gauge theories of SU(infinity) are thus simply reformulated in terms of surface (sheet) coordinates. Spacetime-independent configurations of their gauge fields describe strings through the quadratic Schild action. 11 refs.
Date: January 1, 1989
Creator: Zachos, C.K. & Fairlie, D.B.
Partner: UNT Libraries Government Documents Department

Phase-space quantization of field theory.

Description: In this lecture, a limited introduction of gauge invariance in phase-space is provided, predicated on canonical transformations in quantum phase-space. Exact characteristic trajectories are also specified for the time-propagating Wigner phase-space distribution function: they are especially simple--indeed, classical--for the quantized simple harmonic oscillator. This serves as the underpinning of the field theoretic Wigner functional formulation introduced. Scalar field theory is thus reformulated in terms of distributions in field phase-space. This is a pedagogical selection from work published and reported at the Yukawa Institute Workshop ''Gauge Theory and Integrable Models'', 26-29 January, 1999.
Date: April 20, 1999
Creator: Curtright, T. & Zachos, C.
Partner: UNT Libraries Government Documents Department

Quantum deformations

Description: I review and illustrate applications of explicit functionals we have found which map SU(2) algebra generators to those of several quantum deformations of this Lie algebra. I indicate how virtually any such quantized algebra can be mapped to any other, and how representations of such algebras 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, and may be rapidly surveyed. I further provide a candidate quantum deformation of the Virasoro algebra. 19 refs.
Date: January 1, 1990
Creator: Zachos, C.K.
Partner: UNT Libraries Government Documents Department

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 yield the quadratic Schild-Eguchi string action. 15 refs.
Date: January 1, 1989
Creator: Zachos, C.
Partner: UNT Libraries Government Documents Department

Matrix membranes and integrability

Description: This is a pedagogical digest of results reported in Curtright, Fairlie, {ampersand} Zachos 1997, and an explicit implementation of Euler`s construction for the solution of the Poisson Bracket dual Nahm equation. But it does not cover 9 and 10-dimensional systems, and subsequent progress on them Fairlie 1997. Cubic interactions are considered in 3 and 7 space dimensions, respectively, for bosonic membranes in Poisson Bracket form. Their symmetries and vacuum configurations are explored. Their associated first order equations are transformed to Nahm`s equations, and are hence seen to be integrable, for the 3-dimensional case, by virtue of the explicit Lax pair provided. Most constructions introduced also apply to matrix commutator or Moyal Bracket analogs.
Date: June 1, 1997
Creator: Zachos, C.; Fairlie, D. & Curtright, T.
Partner: UNT Libraries Government Documents Department

High Energy Physics Division semiannual report of research activities, January 1, 2003 - June 30, 2003.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of January 1 through June 30, 2003. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: January 27, 2004
Creator: Spinka, H.; Nodulman, L.; Goodman, M.; Repond, J.; Cadman, R.; Ayres, D. S. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics Division semiannual report of research activities, January 1, 2002 - June 30, 2002.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of January 1 through June 30, 2002. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: January 31, 2003
Creator: Spinka, H. M.; Nodulman, L. J.; Goodman, M. C.; Repond, J.; Cadman, R.; Ayres, D. S. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics Division semiannual report of research activities, January 1, 1999--June 30, 1999.

Description: In the period January--June 1999 accomplishments for the ANL-HEP division medium energy physics project consisted of the completion of two papers on past Saclay experiments, the beginning of analysis of recent data from the Crystal Ball measurements at the Brookhaven AGS, and preparations for a RHIC polarimeter. Two papers on Saclay pp elastic scattering data were completed by an ANL physicist, submitted and accepted in Physical Review. Results for the spin observable P - A{sub oono} = A{sub ooon} = A{sub y} at over 30 beam kinetic energies between 800 and 2,800 MeV and C.M. angles from about 70{degree}--110{degree} are described. A total of 919 new data points are presented in these articles. The energy dependence at fixed c.m. angles appears smooth, with no evidence for rapid energy-dependent structure. Work has also begun on two additional papers at Argonne and on others at Saclay.
Date: January 26, 2000
Creator: Spinka, H.; Nodulman, L.; Goodman, M.C.; Repond, J.; Proudfoot, J.; Underwood, D. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics division semiannual report of research activities, January 1, 1998--June 30, 1998.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of January 1, 1998 through June 30, 1998. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: March 9, 1999
Creator: Ayres, D. S.; Berger, E. L.; Blair, R.; Bodwin, G. T.; Drake, G.; Goodman, M. C. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics division semiannual report of research activities.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of July 1, 2001 through December 31, 2001. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: August 29, 2002
Creator: Spinka, H. M.; Nodulman, L. J.; Goodman, M. C.; Repond, J.; Ayres, D. S.; Proudfoot, J. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics Division semiannual report of research activities, January 1, 2004 - June 30, 2004.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of January 1 through June 30, 2004. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: February 21, 2005
Creator: Spinka, H. M.; Nodulman, L. J.; Goodman, M. C.; Repond, J.; Ayres, D. S.; Proudfoot, J. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics semiannual report of research activities. July 1, 2003 - December 31, 2003.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of July 1 through December 31, 2003. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: June 2, 2004
Creator: Spinka, H. M.; Nodulman, L. J.; Goodman, M. C.; Repond, J.; Ayres, D. S.; Proudfoot, J. et al.
Partner: UNT Libraries Government Documents Department

High energy physics division semiannual report of research activities January 1, 2001 - June 30, 2001.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of January 1, 2001 through June 31, 2001. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: March 19, 2002
Creator: Spinka, H. M.; Nodulman, L. J.; Goodman, M. C.; Repond, J.; Ayres, D. S.; Proudfoot, J. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics Division semiannual report of research activities July 1, 2002 - December 31, 2002.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of July 1 through December 31, 2002. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: July 30, 2003
Creator: Spinka, H. M.; Nodulman, L.J.; Goodman, M.C.; Repond, J.; Ayres, D.S.; Proudfoot, J. et al.
Partner: UNT Libraries Government Documents Department

High Energy Physics Division semiannual report of research activities : July 1, 2004 - December 31, 2004.

Description: This report describes the research conducted in the High Energy Physics Division of Argonne National Laboratory during the period of July 1 through December 31, 2004. Topics covered here include experimental and theoretical particle physics, advanced accelerator physics, detector development, and experimental facilities research. Lists of Division publications and colloquia are included.
Date: June 3, 2005
Creator: Nodulman, L.; Repond, J.; Ayres, D. S.; Proudfoot, J.; Stanek, R.; Schlereth, J. et al.
Partner: UNT Libraries Government Documents Department