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This article is devoted to an overview of superstring perturbation theory from the point of view of super Riemann surfaces. We aim to elucidate some of the subtleties of superstring perturbation that caused difficulty in the early…

High Energy Physics - Theory · Physics 2016-07-26 Edward Witten

We investigate the field theory of strings having as a target space an arbitrary discrete one-dimensional manifold. The existence of the continuum limit is guaranteed if the target space is a Dynkin diagram of a simply laced Lie algebra or…

High Energy Physics - Theory · Physics 2009-10-22 I. Kostov

In typical examples of the AdS/CFT correspondence, the world-sheet theory with holes in the presence of D-branes is assumed to be equivalent in a low-energy limit to a world-sheet theory without holes for a different background such as…

High Energy Physics - Theory · Physics 2020-07-01 Yuji Okawa

We investigate the following three consistency conditions for constructing string theories on orbifolds: i) the invariance of the energy-momentum tensors under twist operators, ii) the duality of amplitudes and iii) modular invariance of…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Sakamoto , Masayoshi Tabuse

We study a consistent deformation of the cubic open bosonic string theory in such a way that the non-planar world sheet diagrams of the perturbative string theory are mapped onto their equivalent planar diagrams of the light-cone string…

High Energy Physics - Theory · Physics 2017-03-21 Taejin Lee

We find the general solution to Polchinski's classical scattering equations for $1+1$ dimensional string theory. This allows efficient computation of scattering amplitudes in the standard Liouville $\times$ $c=1$ background. Moreover, the…

High Energy Physics - Theory · Physics 2011-10-11 G. Moore , R. Plesser

Using the Moyal star product, we define open bosonic string field theory carefully, with a cutoff, for any number of string oscillators and any oscillator frequencies. Through detailed computations, such as Neumann coefficients for all…

High Energy Physics - Theory · Physics 2009-11-07 Itzhak Bars , Yutaka Matsuo

The similarity between tree-level string theory scalar amplitudes, the Koba-Nielsen form ($S^{1}$) and the Virasoro-Shapiro form ($S^{2}$) suggests a natural $S^{n}$ generalization for a scalar amplitude. It is shown that the $S^{n}$…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Natsuume

We verify that the dilaton together with one exactly marginal field, form a moduli space of marginal deformations of closed bosonic string field theory to polynomial order five. We use the results of this successful check in order to find…

High Energy Physics - Theory · Physics 2009-04-17 Nicolas Moeller

Supersymmetric bosonic backgrounds governed by first-order BPS equations, can be realised in a much broader setting by relaxing the requirement of closure of the superalgebra beyond the level of quadratic fermion terms. The resulting…

High Energy Physics - Theory · Physics 2021-07-21 Falk Hassler , C. N. Pope , Hao-Yu Zhang

We generalize a family of Lagrangians with values in the Poincar\'e group ISO(d-1,1), which contain the description of spinning strings in flat (d-1)+1 dimensions, by including symmetric terms in the world-sheet coordinates. Then, by…

High Energy Physics - Theory · Physics 2016-08-25 Roberto Casadio , Benjamin Harms

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

We study the perturbative S-matrix of closed strings in the two-dimensional type 0B string theory from the worldsheet perspective, by directly integrating correlation functions of ${\cal N}=1$ Liouville theory. The latter is computed…

High Energy Physics - Theory · Physics 2023-06-14 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

We review the features of the pomeron in the S-matrix theory and in quantum field theory. We extend those general properties to the pomeron of closed bosonic string theory in a Minkowskian background. We compute the couplings of the pomeron…

High Energy Physics - Theory · Physics 2015-05-18 A. R. Fazio

Recently Berkovits and Vafa have shown that the bosonic string can be viewed as the fermionic string propagating in a particular background. Such a background is described by a somewhat unusual $N=1$ superconformal system. By coupling it to…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli

Non-perturbative interactions in the effective action of two-dimensional bosonic string theory are described. These interactions are due to ``stringy" instantons that are associated with a space-varying coupling parameter. We present…

High Energy Physics - Theory · Physics 2007-05-23 R. Brustein , M. Faux , B. Ovrut

In this paper we discuss symmetry breaking in string theory. Spacetime symmetries are implemented as inner automorphisms of the underlying superconformal algebra. Conserved currents generate unbroken spacetime symmetries. As we deform the…

High Energy Physics - Theory · Physics 2017-08-23 Ioannis Giannakis

We describe the ${\cal{O}}({\alpha'}^0)$ constraints on the target space geometry of the $N=(2,1)$ heterotic superstring due to the left-moving $N=1$ supersymmetry and $U(1)$ currents. In the fermionic description of the internal sector…

High Energy Physics - Theory · Physics 2009-10-30 Albion Lawrence

We investigate classical dynamics of the bosonic string in the background metric, antisymmetric and dilaton fields. We use canonical methods to find Hamiltonian in terms of energy-momentum tensor components. The later are secondary…

High Energy Physics - Theory · Physics 2009-11-10 Branislav Sazdovic

Conventional superstring perturbation theory based on the world-sheet approach gives divergent results for the S-matrix whenever the total center of mass energy of the incoming particles exceeds the threshold of production of any final…

High Energy Physics - Theory · Physics 2017-04-26 Ashoke Sen