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Conformal techniques, bosonization and tree-level string amplitudes

- V. Kostelecký, O. Lechtenfeld, W. Lerche, S. Samuel, S. Watamura
- Physics
- 1987

Abstract Calculational tools are provided allowing the determination of tree-level amplitudes for processes involving fermions and bosons in heterotic and superstring theories. A simple… Expand

Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation

- Zhaoyang Yin, O. Lechtenfeld, J. Escher
- Mathematics
- 1 July 2007

After some remarks on a possible zero-curvature formulation we
first establish local well-posedness for the 2-component
Camassa-Holm equation. Then precise blow-up scenarios for strong
solutions… Expand

N=4 Supersymmetric Mechanics in Harmonic Superspace

- E. Ivanov, O. Lechtenfeld
- Physics
- 11 July 2003

We define N=4, d=1 harmonic superspace HR 1+2|4 with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2)× SU(2) of N=4, d=1 Poincare supersymmetry. We… Expand

Field-dependent BRST transformations in Yang–Mills theory

- P. Lavrov, O. Lechtenfeld
- Physics
- 3 May 2013

Abstract We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang–Mills theory. For the functional-integral representation of the (gauge-fixed) Yang–Mills… Expand

On the N =2 supersymmetric Camassa-Holm and Hunter-Saxton equations

- J. Lenells, O. Lechtenfeld
- Mathematics, Physics
- 30 August 2008

We consider N=2 supersymmetric extensions of the Camassa–Holm and Hunter–Saxton equations. We show that they admit geometric interpretations as Euler equations on the superconformal algebra of… Expand

New variant of N = 4 superconformal mechanics

- E. Ivanov, S. Krivonos, O. Lechtenfeld
- Physics
- 25 December 2002

Proceeding from a nonlinear realization of the most general N = 4, d = 1 superconformal symmetry, associated with the supergroup D(2, 1; ?), we construct a new model of nonrelativistic N = 4… Expand

On covariant multi-loop superstring amplitudes

- O. Lechtenfeld, A. Parkes
- Physics
- 26 February 1990

Abstract We present results for g-loop superstring amplitudes obtained by explicitly performing the sum over spin structures in the spinning string formulation. We do this by placing the picture… Expand

Superconformal mechanics

- S. Fedoruk, E. Ivanov, O. Lechtenfeld
- Physics, Mathematics
- 8 December 2011

We survey the salient features and problems of conformal and superconformal mechanics and portray some of its developments over the past decade. Both classical and quantum issues of singleand… Expand

Scattering of noncommutative solitons in 2+1 dimensions

- O. Lechtenfeld, A. D. Popov
- Physics
- 16 August 2001

Abstract Interactions of noncommutative solitons in a modified U ( n ) sigma model in 2+1 dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicit… Expand

Supertwistors and cubic string field theory for open N=2 strings

- O. Lechtenfeld, A. D. Popov
- Physics
- 21 June 2004

Abstract The known Lorentz invariant string field theory for open N = 2 strings is combined with a generalization of the twistor description of anti-self-dual (super-)Yang–Mills theories. We… Expand

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