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We consider the twistor description of conformal higher spin theories and give twistor space actions for the self-dual sector of theories with spin greater than two that produce the correct flat space-time spectrum. We identify a ghost-free…

High Energy Physics - Theory · Physics 2017-11-22 Philipp Haehnel , Tristan McLoughlin

We derive twistorial tensionful bosonic string action by considering on the world sheet the canonical twistorial 2-form in two-twistor space. We demonstrate the equivalence of or model to two known momentum formulations of D=4 bosonic…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Fedoruk , Jerzy Lukierski

By utilizing the gauge symmetries of Two-Time Physics (2T-physics), a superstring with linearly realized global SU(2,2|4) supersymmetry in 4+2 dimensions (plus internal degrees of freedom) is constructed. It is shown that the dynamics of…

High Energy Physics - Theory · Physics 2009-11-10 Itzhak Bars

We consider convex spacelike polyhedra oriented in Minkowski space. These are the classical analogues of spinfoam intertwiners. We point out a parametrization of these shapes using null face normals, with no constraints or redundancies. Our…

General Relativity and Quantum Cosmology · Physics 2013-12-12 Yasha Neiman

Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6. The twistor action is manifestly Lorentz invariant but the anticommuting spin…

High Energy Physics - Theory · Physics 2016-01-20 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

Some shortcomings in regard to our lack of conceptual understanding of string theory are displayed and prescription to untangle them is proposed. String theory should be a fundamental dynamics of four dimensional symmetric space-times.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Boutaleb-Joutei , A. M. Elgasmi

The pure spinor superstring in a type II curved background is considered. In order to define reparametrization ghosts, non-minimal pure spinor variables have to be present in the formalism. The BRST transformations of the non-minimal…

High Energy Physics - Theory · Physics 2019-10-30 Osvaldo Chandia

We describe a novel twistorial construction of the asymptotic BMS symmetries at null infinity for asymptotically flat spacetimes. We define BMS twistors as spinor solutions to some set of components of the usual spacetime twistor equation…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Kartik Prabhu

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

In this paper, the Wheeler-DeWitt (WDW) equation is derived in null-foliated 4D spacetimes. WDW equation written in null-foliated spacetime presents an enormous simplification compared to the spacelike-foliated spacetime as the…

General Relativity and Quantum Cosmology · Physics 2020-05-04 Abhishek Mehta

We study a string theory which is exclusively based on extrinsic curvature action. It is a tensionless string theory because the action reduces to perimeter for the flat Wilson loop. We are able to solve and quantize this high-derivative…

High Energy Physics - Theory · Physics 2007-05-23 G. Savvidy

We consider a class of $2+D$ - dimensional string backgrounds with a target space metric having a covariantly constant null Killing vector and flat `transverse' part. The corresponding sigma models are invariant under $D$ abelian isometries…

High Energy Physics - Theory · Physics 2009-09-17 C. Klimcik , A. A. Tseytlin

String geometry theory is one of the candidates of non-perturbative formulation of string theory. In this paper, we have shown that dimensionally reduced string geometry theories have what we call T-symmetry. In case of the dimensional…

High Energy Physics - Theory · Physics 2025-03-04 Matsuo Sato , Taiki Tohshima

The manifestly SU(4)xU(1) super-Poincare invariant free-field N=2 twistor- string action for the ten-dimensional Green-Schwarz superstring is quantized using standard BRST methods. Unlike the light-cone and semi-light-cone gauge-fixed…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

This is a review of recent developments in the study of perturbative gauge theory and gravity using action functionals on twistor space. It is intended to provide a user-friendly introduction to twistor actions, geared towards researchers…

High Energy Physics - Theory · Physics 2013-10-10 Tim Adamo

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 introduce a Chern-Simons-type Lagrangian containing twistor…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld , Alexander D. Popov

We consider an extension of a special class of conformal sigma models (`chiral null models') which describe extreme supersymmetric string solutions. The new models contain both `left' and `right' vector couplings and should correspond to…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We review aspects of twistor theory, its aims and achievements spanning thelast five decades. In the twistor approach, space--time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex…

High Energy Physics - Theory · Physics 2017-11-01 Michael Atiyah , Maciej Dunajski , Lionel Mason

We show how the description of a shear-free ray congruence in Minkowski space as an evolving family of semi-conformal mappings can naturally be formulated on a finite graph. For this, we introduce the notion of holomorphic function on a…

Mathematical Physics · Physics 2015-05-18 Paul Baird , Mohammad Wehbe

In this thesis, we report on results in non-anticommutative field theory and twistor string theory, trying to be self-contained. We first review the construction of non-anticommutative N=4 super Yang-Mills theory and discuss a…

High Energy Physics - Theory · Physics 2007-05-23 Christian Saemann