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We argue that recent results in string perturbation theory indicate that the four-graviton amplitude of four-dimensional N=8 supergravity might be ultraviolet finite up to eight loops. We similarly argue that the h-loop M-graviton amplitude…

High Energy Physics - Theory · Physics 2008-11-26 Michael B. Green , Jorge G. Russo , Pierre Vanhove

We discuss string theory relations between gravity and gauge theory tree amplitudes. Together with $D$-dimensional unitarity, these relations can be used to perturbatively quantize gravity theories, i.e. they contain the necessary…

High Energy Physics - Theory · Physics 2007-05-23 Z. Bern

We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the graviton multiplet in the Type II Superstring. In particular we obtain explicit double and single dispersion relations, formulas for all…

High Energy Physics - Theory · Physics 2011-04-20 Eric D'Hoker , D. H. Phong

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 consider a conformal system of a string and a particle defined in D=10+2 space-time dimensions. The extra time-like dimension is a gauge artifact and can be eliminated by choosing a gauge in which the SO(10,1) Lorentz symmetry is…

High Energy Physics - Theory · Physics 2007-05-23 Costas Kounnas

Type-IIB supersymmetric theories have an SL(2,Z) invariance, known as U-duality, which controls the non-perturbative behavior of the theory. Under SL(2,Z) the supercharges are doublets, implying that the bosonic charges would be singlets or…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars

In this note we derive an explicit modular invariant formula for the two loop 4-point amplitude in superstring theory in terms of a multiple integral (7 complex integration variables) over the complex plane which is shown to be convergent.…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Iengo , Chuan-Jie Zhu

In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory. It is described by a particular gauging of…

High Energy Physics - Theory · Physics 2018-04-04 Ignatios Antoniadis , Antonio Delgado , Chrysoula Markou , Stefan Pokorski

The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB…

High Energy Physics - Theory · Physics 2016-03-02 Humberto Gomez , 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

We analyze transcendentality for certain terms that arise in multiloop amplitudes in the low momentum expansion of the four graviton amplitude in type IIB string theory in ten dimensions, based on the constraints of supersymmetry and…

High Energy Physics - Theory · Physics 2020-03-18 Anirban Basu

Dualities of M-theory are used to determine the exact dependence on the coupling constant of the D^6R^4 interaction of the IIA and IIB superstring effective action. Upon lifting to eleven dimensions this determines the coefficient of the…

High Energy Physics - Theory · Physics 2009-11-11 Michael B. Green , Pierre Vanhove

The well known N=2 string theory describes self-dual gravity, as was shown by Ooguri and Vafa sometime ago. In search of a variant of this theory which would describe self-dual supergravity in 2+2 dimensions, we have constructed two new N=2…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin

We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in four dimensions with eight supercharges. Their low energy effective field theories resemble $STU$ models, but have different duality…

High Energy Physics - Theory · Physics 2025-06-16 George Gkountoumis , Chris Hull , Guo-En Nian , Stefan Vandoren

This paper investigates relationships between low-energy four-particle scattering amplitudes with external gauge particles and gravitons in the E_8 X E_8 and SO(32) heterotic string theories and the type I and type IA superstring theories…

High Energy Physics - Theory · Physics 2017-02-01 Michael B. Green , Arnab Rudra

The genus-dependence of multi-loop superstring amplitudes is bounded at large orders in perturbation theory using the super-Schottky group parametrization of supermoduli space. Partial estimates of supermoduli space integrals suggest an…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

Montonen and Olive's conjecture in 1977 that some theories possess a duality symmetry that interchanges the electrically charged particle with that of negatively charged t' Hooft-Polyakov monopoles which relates strong coupling to weak…

High Energy Physics - Theory · Physics 2009-11-17 B B Deo , L Maharana

Exact superstring solutions are constructed in 4-D space-time, with positive curvature and non-trivial dilaton and antisymmetric tensor fields. The full spectrum of string excitations is derived as a function of moduli fields $T^{i}$ and…

High Energy Physics - Theory · Physics 2016-09-06 Elias Kiritsis , Costas Kounnas

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way to tame ultraviolet divergences without…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Tirthabir Biswas , Spyridon Talaganis

We continue our investigation of the modular graph functions and string invariants that arise at genus-two as coefficients of low energy effective interactions in Type II superstring theory. In previous work, the non-separating degeneration…

High Energy Physics - Theory · Physics 2021-02-08 Eric D'Hoker , Michael B. Green , Boris Pioline