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We construct the unintegrated vertex operator at the first mass level of the open superstring from the OPE of massless vertices. Using BRST cohomology manipulations, the tree amplitude of two massless and one massive state is rewritten in…

High Energy Physics - Theory · Physics 2025-03-06 Sitender Pratap Kashyap , Carlos R. Mafra , Mritunjay Verma , Luis Ypanaqué

Starting from string field theory for 2d gravity coupled to c=1 matter we analyze N-point off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the oscillator representation to extract the…

High Energy Physics - Theory · Physics 2015-06-26 I. Ya. Aref'eva , P. B. Medvedev , A. P. Zubarev

We develop calculational tools to determine higher loop superstring correlators involving massless fermionic and spin fields in four space time dimensions. These correlation functions are basic ingredients for the calculation of loop…

High Energy Physics - Theory · Physics 2010-11-05 Oliver Schlotterer

At low energies, interactions of massless particles in type II strings compactified on a torus $T^d$ are described by an effective Wilsonian action $\mathcal{S}(\Lambda)$, consisting of the usual supergravity Lagrangian supplemented by an…

High Energy Physics - Theory · Physics 2019-03-27 Boris Pioline

We describe a general formalism based on the partial-wave decomposition to compute the iterative $s$-channel discontinuity of four-point amplitudes at any loop order. As an application, we focus on the low-energy expansions of type I and II…

High Energy Physics - Theory · Physics 2024-11-25 Yu-tin Huang , Hynek Paul , Michele Santagata

We study two-dimensional string theory on a time-dependent background, whose worldsheet description consists of Liouville theory at central charge c = 1 and Liouville theory at central charge c = 25, together with the conformal ghosts. We…

High Energy Physics - Theory · Physics 2024-05-21 Victor A. Rodriguez

The high-energy behavior of string scattering in warped spacetimes is studied to all orders in perturbation theory. If one assumes that the theory is finite, the amplitudes exactly fall as powers of momentum.

High Energy Physics - Theory · Physics 2009-11-10 Oleg Andreev

1 identify a correspondence between the various spherical harmonic modes of massless 11 dimensional fields propagating on the $AdS_{4/7}$ in an $AdS_{4/7} \times S^{7\4}$ compactification of M theory, and the corresponding operators,…

High Energy Physics - Theory · Physics 2009-10-31 Shiraz Minwalla

We consider superstring theories on pp-wave backgrounds which result in an integrable ${\cal N}=(2,2)$ supersymmetric Landau-Ginzburg theory on the worldsheet. We obtain exact eigenvalues of the light-cone gauge superstring hamiltonian in…

High Energy Physics - Theory · Physics 2010-12-03 Alin Tirziu , Paul Fendley

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

High Energy Physics - Theory · Physics 2011-08-02 I. Y. Park

We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states,…

High Energy Physics - Theory · Physics 2009-09-17 M. Bershadsky , S. Cecotti , H. Ooguri , C. Vafa

In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states. The polarization dependence is organized into the same BRST…

High Energy Physics - Theory · Physics 2014-09-03 Carlos R. Mafra , Oliver Schlotterer

We evaluate in great detail one-loop four-graviton field theory amplitudes in pure N=4 D=4 supergravity. The expressions are obtained by taking the field theory limits of (4,0) and (2,2) space-time supersymmetric string theory models. For…

High Energy Physics - Theory · Physics 2013-05-30 Piotr Tourkine , Pierre Vanhove

It is argued that the complete S-matrix of string theory at tree level in a flat background can be obtained from a small set of target space properties, without recourse to the worldsheet description. The main non-standard inputs are…

High Energy Physics - Theory · Physics 2015-06-18 Rutger H. Boels , Tobias Hansen

This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree level by using twistor space techniques and…

High Energy Physics - Theory · Physics 2008-10-09 C. Vergu

We compute the disk amplitude of three closed strings in the pure spinor formalism. Among others, this amplitude probes tree-level gravitational interactions in the presence of Dp-branes. After disentangling holomorphic and anti-holomorphic…

High Energy Physics - Theory · Physics 2023-08-09 Andreas Bischof , Michael Haack , Stephan Stieberger

We extend our analysis of the soft behaviour of string amplitudes with massive insertions to closed strings at tree level (sphere). Relying on our previous results for open strings on the disk and on KLT formulae we check universality of…

High Energy Physics - Theory · Physics 2016-03-23 Massimo Bianchi , Andrea L. Guerrieri

Using the ambitwistor string theory, we study graviton scattering amplitudes in a light-like linear dilaton background of ten-dimensional supergravity. At the tree level, we find that the three-graviton amplitude coincides with the type II…

High Energy Physics - Theory · Physics 2023-08-09 Mayu Kato , Yu Nakayama

We develop ambitwistor string theories for 4 dimensions to obtain new formulae for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified…

High Energy Physics - Theory · Physics 2014-10-07 Yvonne Geyer , Arthur E. Lipstein , Lionel J. Mason

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories,…

High Energy Physics - Theory · Physics 2015-06-15 Lorenzo Bianchi , Valentina Forini , Ben Hoare