منابع مشابه
Noncommutative mechanics , Landau levels , twistors and Yang - Mills amplitudes
These lectures fall into two distinct, although tenouously related, parts. The first part is about fuzzy and noncommutative spaces, and particle mechanics on such spaces, in other words, noncommutative mechanics. The second part is a discussion/review of twistors and how they can be used in the calculation of Yang-Mills amplitudes. The point of connection between these two topics, discussed in ...
متن کاملConstructing Scattering Amplitudes Lecture 3: Twistors and N = 4 Supersymmetric Yang-Mills
The main theme of these lectures is the construction of scattering amplitudes from their singularities. We have seen how complex poles are used in the BCFW construction, and later on we will discover the use of branch cuts and related singularities for loop amplitudes. In this lecture, we take a step aside and consider the construction of amplitudes from their symmetries, incarnating the simpli...
متن کاملTwistors and Black Holes
Motivated by black hole physics in N = 2, D = 4 supergravity, we study the geometry of quaternionic-Kähler manifolds M obtained by the c-map construction from projective special Kähler manifolds Ms. Improving on earlier treatments, we compute the Kähler potentials on the twistor space Z and Swann space S in the complex coordinates adapted to the Heisenberg symmetries. The results bear a simple ...
متن کاملTwistors, Cft and Holography
According to one of many equivalent definitions of twistors a (null) twistor is a null geodesic in Minkowski spacetime. Null geodesics can intersect at points (events). The idea of Penrose was to think of a spacetime point as a derived concept: points are obtained by considering the incidence of twistors. One needs two twistors to obtain a point. Twistor is thus a “square root” of a point. In t...
متن کاملD-instantons and twistors
Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds is an outstanding open problem. We address this issue by relating the quaternionic-Kähler metric on the hypermultiplet moduli space to the complex contact geometry on its twistor space. In this framework, Euclidean D-brane instantons are captured by contact...
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ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2015
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2014.0248