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The N-point amplitudes for the Type II and Heterotic superstrings at two-loop order and for $N \leq 4$ massless NS bosons are evaluated explicitly from first principles, using the method of projection onto super period matrices introduced…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , D. H. Phong

We show that certain type II string amplitudes at genus $g$ are given by the topological partition function $F_g$ discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional…

High Energy Physics - Theory · Physics 2009-10-22 I. Antoniadis , E. Gava , K. S. Narain , T. R. Taylor

We propose a new approach for deriving the string field equations from a general sigma model on the world sheet. This approach leads to an equation which combines some of the attractive features of both the renormalization group method and…

High Energy Physics - Theory · Physics 2009-10-30 K. Bardakci , L. M. Bernardo

We quantize in light cone gauge the bosonic sector of string theory on Anti-de Sitter space in the zero curvature radius limit. We find that the worldsheet falls apart into a theory of free partons and map the Hilbert space of the string…

High Energy Physics - Theory · Physics 2007-05-23 Andreas Karch

We explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field. In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes…

High Energy Physics - Theory · Physics 2008-11-26 Youngjai Kiem , Sangmin Lee

The $R^2 F^{2g-2}$ terms of Type IIA strings on Calabi-Yau 3-folds, which are given by the corresponding topological string amplitudes (a worldsheet instanton sum for all genera), are shown to have a simple M-theory interpretation. In…

High Energy Physics - Theory · Physics 2007-05-23 Rajesh Gopakumar , Cumrun Vafa

It is shown that the one-loop two-point amplitude in {\it Lorentz-invariant} non-commutative (NC) $\phi^3$ theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule, thereby eliminating the unitarity…

High Energy Physics - Theory · Physics 2009-11-10 Katsusada Morita , Yoshitaka Okumura , Eizou Umezawa

We propose a new ``boundary'' term in free bosonic string field theory. Here, the term ``boundary'' refers to a contribution introduced to restore the cyclicity broken by the insertion of a stringy step-function operator, although it is not…

High Energy Physics - Theory · Physics 2026-05-05 Yasu Gen , Hiroaki Matsunaga , Jojiro Totsuka

Scattering amplitudes for the simplest theory of colored scalar particles - the Tr($\Phi^3$) theory - have recently been the subject of active investigations. In this letter we describe an unanticipated wider implication of this work: the…

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

In type II superstring theory, the vacuum amplitude at a given loop order $g$ can receive contributions from the boundary of the compactified, genus $g$ supermoduli space of curves $\overline{\mathfrak M}_g$. These contributions capture the…

High Energy Physics - Theory · Physics 2023-02-16 Kowshik Bettadapura , Hai Lin

We apply stochastic quantization method to the bosonic part of IIB matrix model, i.e., a naive zero volume limit of large N Yang-Mills theory, to construct a collective field theory of Wilson loops. The Langevin equation for Wilson loops…

High Energy Physics - Theory · Physics 2009-11-07 Daiji Ennyu , Hiroshi Kawabe , Naohito Nakazawa

Methods to apply the spinor helicity technique and string reorganization to multiloop amplitudes using the Feynman- and Schwinger-parameter representations are reviewed and expanded.

High Energy Physics - Phenomenology · Physics 2015-06-25 C. S. Lam

Generalised bi-adjoint scalar amplitudes, obtained from integrations over moduli space of punctured $\mathbb{CP}^{k-1}$, are novel extensions of the CHY formalism. These amplitudes have realisations in terms of Grassmannian cluster…

High Energy Physics - Theory · Physics 2021-05-19 Md. Abhishek , Subramanya Hegde , Arnab Priya Saha

We generalize the CHY formalism to one-loop level, based on the framework of the null string theory. The null string, a tensionless string theory, produces the same results as the ones from the chiral ambitwistor string theory, with the…

High Energy Physics - Theory · Physics 2018-02-12 Ming Yu , Chi Zhang , Yao-Zhong Zhang

In this paper we investigate the tachyon instability of open bosonic string theory applying methods of boundary conformal field theory. We consider compactifications on maximal tori of various simple Lie algebras with a specific background…

High Energy Physics - Theory · Physics 2010-11-19 K. Bardakci , A. Konechny

We present a method to compute the integrands of one-loop Einstein-Yang-Mills amplitudes for any number of external gauge and gravity multiplets. Our construction relies on the double-copy structure of Einstein-Yang-Mills as…

High Energy Physics - Theory · Physics 2023-03-01 Franziska Porkert , Oliver Schlotterer

In previous work we have shown that large $N$ field theory amplitudes, in Schwinger parametrised form, can be organised into integrals over the stringy moduli space ${\cal M}_{g,n}\times R_{+}^n$. Here we flesh this out into a concrete…

High Energy Physics - Theory · Physics 2009-11-11 Rajesh Gopakumar

We compute off-shell three- and four-tachyon amplitudes at tree level by using a prescription based on the requirement of projective invariance. In particular we show that the off-shell four-tachyon amplitude can be put in the same form as…

High Energy Physics - Theory · Physics 2009-10-31 F. Cuomo , R. Marotta , F. Nicodemi , R. Pettorino , F. Pezzella , G. Sabella

We propose a systematic approximation scheme to calculate general $n$-point $HSSA$ of open bosonic string theory. This stringy scaling loop expansion contains finite number of vacuum diagram terms at each loop order of scattering energy due…

High Energy Physics - Theory · Physics 2025-10-22 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

Motivated by the standard form of string-theory amplitude, we calculate the field-theory amplitude to complete the higher-derivative terms in type II supergravity theories in their conventional form. We derive explicitly the $ O(\alpha'^3)…

High Energy Physics - Theory · Physics 2018-01-17 Hamid R. Bakhtiarizadeh