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We rewrite the SL(2,Z) covariant worldsheet action for the IIB string proposed by Townsend in a Polyakov form. In a flat background the formalism yields separate (p,q) sectors. In each one the action is that of the IIB string action with…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Koenraad Schalm

The CHY formula which describes an $n$-point tree level scattering amplitude for scalars, gluons or gravitons in arbitrary dimension [22], is used to prove the sub-sub-leading soft- graviton theorem recently proposed by Cachazo and…

High Energy Physics - Theory · Physics 2016-05-30 Michael Zlotnikov

Recently, Witten proposed a topological string theory in twistor space that is dual to a weakly coupled gauge theory. In this lectures we will discuss aspects of the twistor string theory. Along the way we will learn new things about…

High Energy Physics - Theory · Physics 2007-05-23 Freddy Cachazo , Peter Svrcek

The spin-4/3 fractional superstring is characterized by a world-sheet chiral algebra involving spin-4/3 currents. The discussion of the tree-level scattering amplitudes of this theory presented in hepth/9310131 is expanded to include…

High Energy Physics - Theory · Physics 2009-10-22 Philip C. Argyres , S. -H. Henry Tye

Recent years have seen the emergence of a new understanding of scattering amplitudes in the simplest theory of colored scalar particles - the Tr$(\phi^3)$ theory - based on combinatorial and geometric ideas in the kinematic space of…

High Energy Physics - Theory · Physics 2024-12-31 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

Scattering amplitudes in quantum field theory are independent of the field parameterization, which has a natural geometric interpretation as a form of `coordinate invariance.' Amplitudes can be expressed in terms of Riemannian curvature…

High Energy Physics - Theory · Physics 2023-02-08 Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

We show how to apply the BCFW recursion relation to Feynman loop integrals with the help of the Feynman-tree theorem. We deconstruct in this way all Feynman diagrams in terms of on-shell subamplitudes. Every cut originating from the…

High Energy Physics - Theory · Physics 2016-05-18 M. Maniatis , C. M. Reyes

We discuss the role of the CPT transformation in first quantized string theories, both on the world-sheet and in the space-time. We explicitly show that the space-time CPT theorem holds for all first-quantized (perturbative) string theories…

High Energy Physics - Theory · Physics 2016-12-21 A. Pasquinucci , K. Roland

We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons of non-identical helicities behave universally in the limit,…

High Energy Physics - Theory · Physics 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov

We investigate the new soft graviton theorem recently proposed in arXiv:1404.4091. We use the CHY formula to prove this universal formula for both Yang-Mills theory and gravity scattering amplitudes at tree level in arbitrary dimension.

High Energy Physics - Theory · Physics 2014-09-10 Burkhard U. W. Schwab , Anastasia Volovich

We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color…

High Energy Physics - Theory · Physics 2017-01-24 Dhritiman Nandan , Jan Plefka , Oliver Schlotterer , Congkao Wen

We present all-multiplicity evidence that the tree-level S-matrix of gluons and gravitons in heterotic string theory can be reduced to color-ordered single-trace amplitudes of the gauge multiplet. Explicit amplitude relations are derived…

High Energy Physics - Theory · Physics 2016-11-22 Oliver Schlotterer

We calculate couplings of arbitrary order from correlation functions among twisted strings, using conformal field theory. Twisted strings arise in heterotic string compactified on orbifolds yielding matter fields in the low energy limit. We…

High Energy Physics - Theory · Physics 2008-11-26 Kang-Sin Choi , Tatsuo Kobayashi

Building on the prior work in [1] we locate a family of positive geometries in the kinematic space which are a specific class of convex realisations of the associahedron. These realisations are obtained by scaling and translating the…

High Energy Physics - Theory · Physics 2022-06-17 Mrunmay Jagadale , Alok Laddha

We propose an approach to formulating string theory in a curved spacetime, which is based on the connection between the states of the WZW model for the isometry group of a background spacetime metric and the representations of the…

High Energy Physics - Theory · Physics 2007-05-23 A. Mikovic

The nonperturbative $1\to N$ tachyon scattering amplitude in 2D type 0A string theory is computed. The probability that $N$ particles are produced is a monotonically decreasing function of $N$ whenever $N$ is large enough that statistical…

High Energy Physics - Theory · Physics 2010-02-03 Emil Martinec , Kazumi Okuyama

The soft theorem states that scattering amplitude in gauge theory with a soft gauge-boson emission can be factorized into a hard scattering amplitude and a soft factor. In this paper, we present calculations of the soft factor for processes…

High Energy Physics - Phenomenology · Physics 2024-01-25 Wen Chen , Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu

In some string theories, e.g. SO(32) heterotic string theory on Calabi-Yau manifolds, a massless field with a tree level potential can acquire a tachyonic mass at the one loop level, forcing us to quantize the theory around a new background…

High Energy Physics - Theory · Physics 2015-06-19 Roji Pius , Arnab Rudra , Ashoke Sen

Scattering amplitudes of the spin-4/3 fractional superstring are shown to satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level in the string perturbation expansion. This fractional superstring is characterized by…

High Energy Physics - Theory · Physics 2009-10-22 Philip C. Argyres , S. -H. Henry Tye

K strings in Yang-Mills theory can be considered as bound states of k elementary confining strings carrying one unit of colour flux. Current estimates of k-string tension sigma_k are very sensitive to the leading corrections due to quantum…

High Energy Physics - Lattice · Physics 2008-11-26 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini