The Weyl double copy from twistor space
نویسندگان
چکیده
The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar, gauge and gravity theories, relates fields spacetime directly. Where this comes from, how general it is, have until recently remained mysterious. In paper, we show the current form scope of can be derived from certain twistor space. new formalism shows that more than previously thought, applying particular to with arbitrary Petrov types. We comment on obtain anti-self-dual as well self-dual fields, clarify some conceptual issues approach.
منابع مشابه
Einstein–Weyl geometry, the dKP equation and twistor theory
It is shown that Einstein–Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsev–Petviashvili (dKP) equation as a special case: If an EW structure admits a constant weighted vector then it is locally given by h = dy2−4dxdt−4udt2, ν = −4uxdt, where u = u(x, y, t) satisfies the dKP equation (ut − uux)x = uyy. Linearised solutions to the dKP equation are shown to give rise to f...
متن کاملLoops in Twistor Space
We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams. We also evaluate explicitly the ‘holomorphic anomaly’ pointed o...
متن کاملAll Googly Amplitudes from the B-model in Twistor Space
It has recently been proposed that the D-instanton expansion of the open topological B-model on P is equivalent to the perturbative expansion of N = 4 super Yang-Mills theory in four dimensions. In this note we extend the results of hep-th/0402016 and recover the gauge theory results for all n-point googly amplitudes by computing the integral over the moduli space of curves of degree n− 3 in P .
متن کاملA Googly Amplitude from the B-model in Twistor Space
Recently it has been proposed that gluon scattering amplitudes in gauge theory can be computed from the D-instanton expansion of the topological B-model on P, although only maximally helicity violating (MHV) amplitudes have so far been obtained from a direct B-model calculation. In this note we compute the simplest non-MHV gluon amplitudes (++−−− and +−+−−) from the B-model as an integral over ...
متن کاملPerturbative Gravity and Twistor Space
Tree amplitudes in gravity theories can be computed from those of gauge theory using the KLT relations [1]. Inspired by this observation, investigations [2,3,4,5] have been carried out in the hope of discovering a deeper connection at the perturbative level between N = 8 supergravity [6] and N = 4 super Yang-Mills. A link between these theories, beyond structural similarities like the non-abeli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2021
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep05(2021)239