Book contents
- Frontmatter
- Contents
- The network
- Preface
- The constraint algebra of higher dimensional Chern-Simons theories
- Nonrelativistic Chern-Simons vortices from the constrained Hamiltonian formalism
- Classical solutions of gravitating Chern-Simons electrodynamics
- Exponentially localised instantons in a hierarchy of Higgs models
- Obstructions to ganging WZ terms: a symplectic curiosity
- Global aspects of symmetries in sigma models with torsion
- Canonical structure of the non-linear σ-model in a polynomial formulation
- A manifestly gauge-invariant approach to quantum theories of gauge fields
- On the Hamiltonian formulation of higher dimensional Chern-Simons gravity
- An Example of Loop Quantization
- Gauge fixing in constrained systems
- Light-cone formulation of gauge theories
- Hamiltonian constraints and Dirac observables
- Gauging kinematical and internal symmetry groups for extended systems
- On the harmonic interaction of three relativistic point particles
- Non existence of static multi-black-hole solutions in 2+1 dimensions
- Spherically symmetric gravity and the notion of time in general relativity
- Canonical decomposition of Belinskii-Zakharov one-soliton solutions
- Hamiltonian reduction and the R-matrix of the Calogero model
- Intrinsic approach to the Legendre transformation in super-mechanics
- Field-antifield description of anomalous theories
- Transfer matrix quantization of general relativity, and the problem of time
- The W3-particle
- Pure geometrical approach to singular Lagrangians with higher derivatives
- Dirac versus reduced phase space quantization
- Classical and quantum aspects of degenerate metric fields
- BRST-antibracket cohomology in 2d conformal gravity
- Quantisation of 2 + 1 gravity for g = 1 and g = 2
- Geometry and dynamics with time-dependent constraints
- Collective coordinates and BRST transformations or Gauge theories without gauge fields
- Geometry of fermionic constraints in superstring theories
- BRST and new superstring states
- Generalized canonical quantization of gauge theories with polarized second–class constraints
- Radiation field on superspace
- Participants
Geometry of fermionic constraints in superstring theories
Published online by Cambridge University Press: 05 November 2011
- Frontmatter
- Contents
- The network
- Preface
- The constraint algebra of higher dimensional Chern-Simons theories
- Nonrelativistic Chern-Simons vortices from the constrained Hamiltonian formalism
- Classical solutions of gravitating Chern-Simons electrodynamics
- Exponentially localised instantons in a hierarchy of Higgs models
- Obstructions to ganging WZ terms: a symplectic curiosity
- Global aspects of symmetries in sigma models with torsion
- Canonical structure of the non-linear σ-model in a polynomial formulation
- A manifestly gauge-invariant approach to quantum theories of gauge fields
- On the Hamiltonian formulation of higher dimensional Chern-Simons gravity
- An Example of Loop Quantization
- Gauge fixing in constrained systems
- Light-cone formulation of gauge theories
- Hamiltonian constraints and Dirac observables
- Gauging kinematical and internal symmetry groups for extended systems
- On the harmonic interaction of three relativistic point particles
- Non existence of static multi-black-hole solutions in 2+1 dimensions
- Spherically symmetric gravity and the notion of time in general relativity
- Canonical decomposition of Belinskii-Zakharov one-soliton solutions
- Hamiltonian reduction and the R-matrix of the Calogero model
- Intrinsic approach to the Legendre transformation in super-mechanics
- Field-antifield description of anomalous theories
- Transfer matrix quantization of general relativity, and the problem of time
- The W3-particle
- Pure geometrical approach to singular Lagrangians with higher derivatives
- Dirac versus reduced phase space quantization
- Classical and quantum aspects of degenerate metric fields
- BRST-antibracket cohomology in 2d conformal gravity
- Quantisation of 2 + 1 gravity for g = 1 and g = 2
- Geometry and dynamics with time-dependent constraints
- Collective coordinates and BRST transformations or Gauge theories without gauge fields
- Geometry of fermionic constraints in superstring theories
- BRST and new superstring states
- Generalized canonical quantization of gauge theories with polarized second–class constraints
- Radiation field on superspace
- Participants
Summary
During recent years there has been an activity in the development of a, so called, twistor-like, doubly supersymmetric approach for describing superparticles and superstrings [1]–[8]. The aim of the approach is to provide with clear geometrical meaning an obscure local fermionic symmetry (k-symmetry) of superparticles and superstrings [9, 10], which plays an essential role in quantum consistency of the theory. At the same time this local fermionic symmetry causes problems with performing the covariant Hamiltonian analysis and quantization of the th eories. This is due to the fact that the first–class constraints corresponding to the k-symmetry form an infinit reducible set, and in a conventional formulation of superparticles and superstrings (see [10] and references therein) it turned out impossible to single out an irreducible set of the fermionic first–class constraints in a Lorentz covariant way. So the idea was to replace the k-symmetry by a local extended supersymmetry on the worldsheet by constructing superparticle and superstring models which would be manifestly supersymmetric in a target superspace and on the world-sheet with the number of local supersymmetries being equal to the number of independet k-symmetry transformations, that is n = D - 2 in a space–time with the dimension D = 3, 4, 6 and 10. Note that it is just in these space–time dimensions the classical theory of Green–Schwarz superstrings may be formulated [10], and twistor relations [11] take place.
The doubly supersymmetric formulation provides the ground for natural incorporating twistors into the structure of supersymmetric theories.
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- Geometry of Constrained Dynamical Systems , pp. 301 - 307Publisher: Cambridge University PressPrint publication year: 1995