Theoretical High Energy Particle Physics Group

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no. papers found: 18


DAMTP-2002-90: Representations of the Exceptional and Other Lie Algebras with Integral Eigenvalues of the Casimir Operator
by A.J. Macfarlane, H. Pfeiffer (2002-07-17)
Published in: J. Phys. A: Math. Gen. 36 (2003) 2305-2317
LANL e-print: math-ph/0208014
Keywords: Lie algebra, Deligne conjecture, dimension formula, representation theory

DAMTP-2000-136: Hidden Supersymmetries in Supersymmetric Quantum Mechanics
by J. A. de Azcarraga, J. M. Izquierdo, A. J. Macfarlane (2000-12-13)
Published in: Nucl. Phys. B604,75-91, 2002
LANL e-print: hep-th/0101053
Keywords: HiddenSusies, Higher supercharges

DAMTP-2000-96: Lie algebra and invariant tensor technology for $g_2$
by A.J. Macfarlane (2000-09-04)
Published in: Internat. J. Mod. Phys. A16,3067-3097, 2001
LANL e-print: math-phys/0103021
Keywords: Lie algebra, invariant tensors, L operators, Casimirs

DAMTP-2000-64: Symplectic and Orthogonal Lie Algebra Technology for Bosonic and Fermionic Oscillator Models of Integrable Systems
by A.J. Macfarlane, H. Pfeiffer, F.W. Wagner (2000-06-29)
Published in: Internat. J. Mod. Phys. A16,1199-1215, 2001.
LANL e-print: math-phys/0007040
Keywords: Integrable Systems, oscillators.

DAMTP-2000-62: Monopole Supersymmetries and the Biedenharn Operator
by P. Horvathy, A. J. Macfarlane, J. W. van Holten (2000-08-03)
Published in: Physics Letters B 486,346-352,2000
LANL e-print: hep-th/0006118
Keywords: supersymmetries

DAMTP-2000-40: Optimally defined Casimir Operators for $su(n)$ and their Eigenvalues for Various Classes of Representations
by J. A. de Azcarraga, A. J. Macfarlane (2000-04-27)
Published in: J. Math. Phys. 42, 419-437, 2000.
LANL e-print: math-ph/0006013
Keywords: Casimir Operators

DAMTP-2000-18: Compilation of identities for the antisymmetric tensors of the higher cocycles of su(n)
by J. A. de Azcarraga, A. J. Macfarlane (2000-06-27)
Published in: Internat. J. Mod. Phys. A16 1377-1409 (2001)
LANL e-print: math-ph/0006026

DAMTP-2000-17: Fermionic realisations of simple Lie algebras and their group invariant fermionic operators
by J. A. de Azcarraga, A. J. Macfarlane (2000-04-20)
Published in: Nuclear Physics B581,[PM],743-760,2000
LANL e-print: hep-th/0003111
Keywords: Fermion Fock space, cubic fermionic invariants

DAMTP-1999-141: Yang-Baxter algebra for the n-harmonic oscillator realisation of sp(2n,R)
by A.J. Macfarlane, F.W. Wagner (1999-10-08)
Published in: Phys.Lett.B, Vol. 468, Issue 3-4, 1999, 244-250
LANL e-print: solv-int/9910003
Keywords: RTT-algebras, Quantum Integrable Systems

DAMTP-1999-93: On Characteristic Equations, Trace Identities and Casimir Operators of Simple Lie Algebras
by A.J. Macfarlane, H. Pfeiffer (1999-07-19)
Published in: Journal of Mathematical Physics 41 no. 5 (2000) 3192-3225
LANL e-print: math-ph/9907024
Keywords: Lie algebra, Casimir operator, invariant polynomial, invariant tensor, characteristic equation

DAMTP-1997-79: Braided Structure of Fractional $Z_3$-supersymmetry
by J. A. de Azcarraga, R. S. Dunne, A. J. Macfarlane, J. C. Perez Bueno ()
Published in: Czech. J. Phys. 46, 1145-1152 (1996)
LANL e-print: hep-th/9609002

DAMTP-1997-49: Invariant Tensors for Simple Groups
by J. A. de Azcarraga, A. J. Macfarlane, A. J. Mountain, J. C. Perez Bueno ()
Published in: Nucl. Phys. B510, 657-687, 1998.
LANL e-print: physics/9706006
Keywords: symmetric tensors, primitive cocycles, Casimirs.

DAMTP-1997-14: Construction of Supercharges for the Supersymmetric Nonlinear Sigma Model
by A.J. Macfarlane, A.J. Mountain (1999-12-15)
To Appear in: JHEP 9906:005, 1999
LANL e-print: hep-th/9703024

DAMTP-1996-75: The q-calculus for Generic q and q a Root of Unity
by R. S. Dunne, A. J. Macfarlane, J. A. Azcarraga, J. C. Perez Bueno (1999-02-01)
Published in: Czech. J. Phys. 46, 1235-1242 (1996)
LANL e-print: q-alg/9609002

DAMTP-1996-57: Geometrical Foundations of Fractional Supersymmetry
by R. S. Dunne, A. J. Macfarlane, (Cambridge U. , DAMTP), J. A. de Azcarraga, J. C. Perez Bueno,(Valencia U. ) ()
Published in: Int. J. Mod.Phys. A17, 3275-3305 (1997)
LANL e-print: hep-th/9610087

DAMTP-1996-52: Supersymmetry from a Braided Point of View
by R. S. Dunne, A. J. Macfarlane, (Cambridge U. , DAMTP), J. A. de Azcarraga, J. C. Perez Bueno,(Valencia U. ) ()
Published in: Phys.Lett.B387:294-299,1996.
LANL e-print: hep-th/9607220

DAMTP-1995-37: Particle Motion in a Yang-Mills Field: Wong's Equationsand Spin One-half Analogues
by N. Linden, A. J. Macfarlane, J. W. van Holten (NIKHEF, Amsterdam) (1999-02-01)
Published in: Czech. J. Phys. 46, 209-216 (1996)
LANL e-print: hep-th/9512071

DAMTP-1995-36: New Supersymmetry of the Monopole
by F. De Jonghe, A. J. Macfarlane, K. Peeters, J. W. van Holten ()
Published in: Phys.Lett. B359 (1995) 114
LANL e-print: hep-th/9507046