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All conjugate-maximal-helicity-violating amplitudes from topological open string theory in twistor space
Radu Roiban1, Anastasia Volovich
1Department of Physics, University of California, Santa Barbara, California 93106, USA.
Physical Review Letters
|November 5, 2004
Summary
The D-instanton expansion in string theory matches maximally supersymmetric Yang-Mills theory. This study constructs gauge theory amplitudes by integrating over moduli spaces, supporting the string theory construction.
Area of Science:
- String theory
- Quantum field theory
- Mathematical physics
Background:
- The D-instanton expansion of the open topological B model on P(3|4) has been proposed to be equivalent to maximally supersymmetric Yang-Mills theory.
- This equivalence suggests a deep connection between different areas of theoretical physics.
Purpose of the Study:
- To demonstrate the equivalence between the D-instanton expansion and perturbative Yang-Mills theory.
- To provide a method for constructing gauge theory results from string theory computations.
Main Methods:
- Computing integrals over the moduli space of curves of degree n-3 in P(3|4).
- Utilizing techniques from topological string theory and quantum field theory.
Main Results:
- Successfully constructed gauge theory results for all n-point conjugate-maximal-helicity-violating amplitudes.
- The results provide strong evidence for the proposed string theory construction.
Conclusions:
- The D-instanton expansion offers a powerful tool for understanding supersymmetric Yang-Mills theory.
- This work bridges concepts in string theory and gauge theory, opening new avenues for research.