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48
Horizontal symmetries for the supersymmetric flavor problem, Nucl.Phys. B466
, 1996
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A Relation between the Kauffman and the HOMFLY polynomials for torus knots,” qalg/9507031
"... Polynomial invariants corresponding to the fundamental representation of the gauge group SO(N) are computed for arbitrary torus knots in the framework of ChernSimons gauge theory making use of knot operators. As a result, a formula which relates the Kauffman and the HOMFLY polynomials for torus kno ..."
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Polynomial invariants corresponding to the fundamental representation of the gauge group SO(N) are computed for arbitrary torus knots in the framework of ChernSimons gauge theory making use of knot operators. As a result, a formula which relates the Kauffman and the HOMFLY polynomials for torus knots is presented. Knot operators [1,2] have shown to be a powerful tool in ChernSimons gauge theory [3] to obtain general expressions for knot invariants related to torus knots and links. Computations by other methods [4,5,6,7,8,9,10] have been succesful for specific knots but not to obtain general expressions for knot sequences as torus
Fixed point gauge actions with fat links: scaling and glueballs
 Nucl. Phys. B
"... A new parametrization is introduced for the fixed point (FP) action in SU(3) gauge theory using fat links. We investigate its scaling properties by means of the static quarkantiquark potential and the dimensionless quantities r0Tc, Tc / √ √ σ and r0 σ, where Tc is the critical temperature of the d ..."
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A new parametrization is introduced for the fixed point (FP) action in SU(3) gauge theory using fat links. We investigate its scaling properties by means of the static quarkantiquark potential and the dimensionless quantities r0Tc, Tc / √ √ σ and r0 σ, where Tc is the critical temperature of the deconfining phase transition, r0 is the hadronic scale and σ is the effective string tension. These quantities scale even on lattices as coarse as a ≈ 0.3 fm. We also measure the glueball spectrum and obtain m 0 ++ = 1627(83) MeV and m 2 ++ = 2354(95) MeV for the masses of the scalar and tensor glueballs, respectively. 1 Work supported in part by Schweizerischer Nationalfonds One way to study quantum field theories beyond perturbation theory is to discretize
DEGREE THREE COHOMOLOGICAL INVARIANTS OF SEMISIMPLE GROUPS
"... Abstract. We study the degree 3 cohomological invariants with coefficients in Q/Z(2) of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given. 1. ..."
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Abstract. We study the degree 3 cohomological invariants with coefficients in Q/Z(2) of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given. 1.
Spatial periodmultiplying instabilities of hexagonal Faraday waves
, 2000
"... A recent Faraday wave experiment with twofrequency forcing reports two types of `superlattice' patterns that display periodic spatial structures having two separate scales [1]. These patterns both arise as secondary states once the primary hexagonal pattern becomes unstable. In one of these ..."
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A recent Faraday wave experiment with twofrequency forcing reports two types of `superlattice' patterns that display periodic spatial structures having two separate scales [1]. These patterns both arise as secondary states once the primary hexagonal pattern becomes unstable. In one of these patterns (socalled `superlatticetwo') the original hexagonal symmetry is broken in a subharmonic instability to form a striped pattern with a spatial scale increased by a factor of 2 p 3 from the original scale of the hexagons. In contrast, the timeaveraged pattern is periodic on a hexagonal lattice with an intermediate spatial scale ( p 3 larger than the original scale) and apparently has 60 ffi rotation symmetry. We present a symmetrybased approach to the analysis of this bifurcation. Taking as our starting point only the observed instantaneous symmetry of the superlatticetwo pattern presented in [1] and the subharmonic nature of the secondary instability, we show (a) that a...
New boundary conformal field theories indexed by the simply laced Lie algebras
 Nucl. Phys. B
, 1995
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The WessZumino Model and the AdS4/CFT3 Correspondence
, 1999
"... We consider the noninteracting massive WessZumino model in fourdimensional antide Sitter space and show that the conformal dimensions of the corresponding boundary fields do not always satisfy the relation expected from superconformal invariance. 1 ..."
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We consider the noninteracting massive WessZumino model in fourdimensional antide Sitter space and show that the conformal dimensions of the corresponding boundary fields do not always satisfy the relation expected from superconformal invariance. 1
The quantum geometry of supersymmetry and the generalized group extensions problem, J.Geom.Phys. 44
, 2002
"... We examine the notion of symmetry in quantum field theory from a fundamental representation theoretic point of view. This leads us to a generalization expressed in terms of quantum groups and braided categories. It also unifies the conventional concept of symmetry with that of exchange statistics an ..."
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We examine the notion of symmetry in quantum field theory from a fundamental representation theoretic point of view. This leads us to a generalization expressed in terms of quantum groups and braided categories. It also unifies the conventional concept of symmetry with that of exchange statistics and the spinstatistics relation. We show how this quantum group symmetry is reconstructed from the traditional (super) group symmetry, statistics and spinstatistics relation. The old question of extending the Poincaré group to unify external and internal symmetries (solved by supersymmetry) is reexamined in the new framework. The reason why we should allow supergroups in this case becomes completely transparent. However, the true symmetries are not expressed by groups or supergroups here but by ordinary (not super) quantum groups. We show in this generalized framework that supersymmetry is the most general unification of internal and spacetime symmetries provided that all particles are either bosons or fermions. Finally, we demonstrate with some examples how quantum geometry provides a natural setting for the construction of superextensions, superspaces, superderivatives etc.
Orbifold Compactifications with Continuous Wilson Lines
, 1993
"... : We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z 3 orbifold we classify all possibilities of breaking the gau ..."
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: We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z 3 orbifold we classify all possibilities of breaking the gauge group E(6)\Omega SU(3) by nine of the eighteen Wilson moduli and by additional discrete Wilson lines. New address from 1 november 1993: DESYIfH Zeuthen, Platanenallee 6, D15738 Zeuthen. (Postal address: P.O. Box, D15735 Zeuthen. Email: mohaupt at ifh.de.) y Corrected: November 8, 1993. T. Mohaupt, Orbifold Compactifications with Continuous Wilson Lines 1 1 Introduction The compactification of the heterotic string theory [1] from ten to four dimensions can be realized in a lot of different ways [2]. A generic feature of all these schemes is the appearence of contiuous deformation parameters, called moduli [3, 4]. The moduli spaces of toroidal [8, 9] and orbifold compactifica...
Identification of dynamical Lie algebras for finitelevel quantum control systems
, 2002
"... Abstract. The problem of identifying the dynamical Lie algebras of finitelevel quantum systems subject to external control is considered, with special emphasis on systems that are not completely controllable. In particular, it is shown that the dynamical Lie algebra for an Nlevel system with symme ..."
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Abstract. The problem of identifying the dynamical Lie algebras of finitelevel quantum systems subject to external control is considered, with special emphasis on systems that are not completely controllable. In particular, it is shown that the dynamical Lie algebra for an Nlevel system with symmetrically coupled transitions, such as a system with equally spaced energy levels and uniform transition dipole moments, is a subalgebra of so(N) if N = 2ℓ + 1, and a subalgebra of sp(ℓ) if N = 2ℓ. General criteria for obtaining either so(2ℓ + 1) or sp(ℓ) are established. Identification of dynamical Lie algebras for finitelevel quantum control systems 2 1.