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We show that the equivalence between the c=1 non-critical bosonic string and the N=2 topologically twisted coset SL(2)/U(1) at level one can be checked very naturally on the level of tree-level scattering amplitudes with the use of the…

High Energy Physics - Theory · Physics 2009-11-11 Shin Nakamura , Vasilis Niarchos

We overview symmetries of string scattering amplitudes in the high energy limits of both the fixed angle or Gross regime (GR) and the fixed momentum transfer or Regge regime (RR). We calculated high energy string scattering amplitudes (SSA)…

High Energy Physics - Theory · Physics 2019-08-13 Jen-Chi Lee , Yi Yang

We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from…

High Energy Physics - Theory · Physics 2009-10-28 Debashis Ghoshal , Camillo Imbimbo , Sunil Mukhi

Using light cone string field theory we derive recursion relations for closed string correlation functions and scattering amplitudes which hold to all orders in perturbation theory. These results extend to strings in a plane wave…

High Energy Physics - Theory · Physics 2008-11-26 Anton Ilderton

We use the recently developed massive spinor-helicity formalism [1] of Arkani- Hamed et al. to propose a new class of recursion relations for tree-level amplitudes in gauge theories. These relations are based on a combined complex…

High Energy Physics - Theory · Physics 2021-05-13 Sourav Ballav , Arkajyoti Manna

A geometric approach to understanding recursion relations for scattering amplitudes is developed. We achieve this by studying intersection numbers of triangulated accordiohedra presented as hyperplane arrangements. The cancellation of…

High Energy Physics - Theory · Physics 2020-12-25 Nikhil Kalyanapuram

In this note, we first explain the equivalence between the interaction Hamiltonian of Green-Schwarz light-cone gauge superstring field theory and the twist field formalism known from matrix string theory. We analyze the role of the large N…

High Energy Physics - Theory · Physics 2007-05-23 Robbert Dijkgraaf , Lubos Motl

We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as $p^2 \to 0$. In particular, we study a form factor…

High Energy Physics - Theory · Physics 2020-12-30 Marc Gillioz , Marco Meineri , Joao Penedones

We revisit the holomorphic anomaly equations satisfied by the topological string amplitude from the perspective of the 4D-5D lift, in the context of ''magic'' N=2 supergravity theories. In particular, we interpret the Gopakumar-Vafa…

High Energy Physics - Theory · Physics 2014-11-18 Peng Gao , Boris Pioline

We discuss the equivalence between Type I, Type II and Heterotic N=2 superstring theories in four dimensions. We study the effective field theory of Type I models obtained by orientifold reductions of Type IIB compactifications on…

High Energy Physics - Theory · Physics 2009-10-30 I. Antoniadis , C. Bachas , C. Fabre , H. Partouche , T. R. Taylor

Combining the Berends-Giele and on-shell recursion relations we obtain an extremely compact expression for the scattering amplitude of a complex scalar-antiscalar pair and an arbitrary number of positive helicity gluons. This is one of the…

High Energy Physics - Theory · Physics 2011-03-22 Paola Ferrario , German Rodrigo , Pere Talavera

It is generally known that the holomorphic anomaly equations in topological string theory reflect the quantum mechanical nature of the topological string partition function. We present two new results which make this assertion more precise:…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Andrew Neitzke , Boris Pioline

Examining the symmetries of the pseudo-action, we propose a prescription for the new Feynman rules for the Ramond sector of the WZW-like heterotic string field theory. The new rules are an analog of that recently proposed for the open…

High Energy Physics - Theory · Physics 2015-09-02 Hiroshi Kunitomo

A consistent action for heterotic and type II superstring field theory was recently proposed by Sen. We give an algebraic formulation of this action in terms of certain twisted $L_\infty$-algebra. We further show that Sen's Wilsonian…

High Energy Physics - Theory · Physics 2024-12-05 Ranveer Kumar Singh

The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S (f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp anomaly),…

High Energy Physics - Theory · Physics 2009-07-13 M. Beccaria , V. Forini , A. Tirziu , A. A. Tseytlin

We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons coupled to massive scalars. We provide…

High Energy Physics - Theory · Physics 2009-11-11 S. D. Badger , E. W. N. Glover , V. V. Khoze , P. Svrcek

Superstring perturbation theory based on the 1PI effective theory approach has been useful for addressing the problem of mass renormalization and vacuum shift. We derive Ward identities associated with space-time supersymmetry…

High Energy Physics - Theory · Physics 2016-01-27 Ashoke Sen

We study the partition function ${\cal N}=1$ 5D $U(N)$ gauge theory with $g$ adjoint hypermultiplets and show that for massless adjoint hypermultiplets it is equal to the partition function of a two dimensional topological field on a genus…

High Energy Physics - Theory · Physics 2021-09-15 Amer Iqbal , Ahsan Z. Khan , Babar A. Qureshi , Khurram Shabbir , Ali Shehper

Explicit expressions for one-loop five supergraviton scattering amplitudes in both type II superstring theories are determined by making use of the pure spinor formalism. The type IIB amplitude can be expressed in terms of a doubling of…

High Energy Physics - Theory · Physics 2015-06-16 Michael B. Green , Carlos R. Mafra , Oliver Schlotterer

The topological coset model appraoch to non-critical string models is summarized. The action of a topological twisted ${G\over H}$ coset model ($rank\ H = rank\ G$) is written down. A ``topological coset algebra" is derived and compared…

High Energy Physics - Theory · Physics 2007-05-23 J. Sonnenschein , S. Yankielowicz
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