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In this paper, we extend the collinear superspace formalism to include the full range of $\mathcal{N} = 1$ supersymmetric interactions. Building on the effective field theory rules developed in a companion paper - "Navigating Collinear…

High Energy Physics - Theory · Physics 2020-03-25 Timothy Cohen , Gilly Elor , Andrew J. Larkoski , Jesse Thaler

We construct critical trajectories in kinetic geometry, i.e. curves in $\mathbb{R}^{1+2n}$ that are: tangential to the vector fields $\partial_t+v\cdot \nabla_x$ and $\nabla_v$, connecting any two given points, respecting the underlying…

Analysis of PDEs · Mathematics 2025-08-21 Helge Dietert , Clément Mouhot , Lukas Niebel , Rico Zacher

Four years ago the Extended Scale Relativity (ESR) theory in C-spaces (Clifford manifolds) was proposed as the plausible physical foundations of string theory. In such theory the speed of light and the minimum Planck scale are the two…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

We introduce the orthosymplectic superalgebra osp(m|2n) as the algebra of Killing vector fields on Riemannian superspace R^{m|2n} which stabilize the origin. The Laplace operator and norm squared on R^{m|2n}, which generate sl(2), are…

Representation Theory · Mathematics 2012-08-21 Kevin Coulembier

In this note we construct vertex operators in effective string theory using the simplified covariant formalism, i.e. by embedding it in the Polyakov formalism supplemented by an anomaly term, and fixing to conformal gauge. These vertex…

High Energy Physics - Theory · Physics 2017-01-24 Simeon Hellerman , Shunsuke Maeda

Composite topological structures such as superheavy "quasi-stable strings" (QSS) and "walls bounded by strings" (WBS) arise in realistic extensions of the Standard Model of high energy physics. We show that the gravitational radiation…

High Energy Physics - Phenomenology · Physics 2023-11-28 George Lazarides , Rinku Maji , Qaisar Shafi

A world-sheet sigma model approach is applied to string theories dual to four-dimensional gauge theories, and semi-classical soliton solutions representing highly excited string states are identified which correspond to gauge theory…

High Energy Physics - Theory · Physics 2015-06-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

In this paper, we consider the recently proposed bosonic/heterotic duality that relates the heterotic superstrings to the noncritical bosonic string. Although the latter is nonsupersymmetric, it can be viewed as pseudo-supersymmetric in…

High Energy Physics - Theory · Physics 2025-05-29 Kai-Peng Lu , H. Lu , Liang Ma

Fractional superstrings are recently-proposed generalizations of the traditional superstrings and heterotic strings. They have critical spacetime dimensions which are less than ten, and in this paper we investigate model-building for the…

High Energy Physics - Theory · Physics 2009-10-22 Keith R. Dienes , S. -H. Henry Tye

We reconsider here the problem of finding the general 4D spherically symmetric, asymptotically flat and time-independent solutions to the lowest-order string equations in the $\ap$ expansion. Our construction includes earlier work, but…

High Energy Physics - Theory · Physics 2010-11-19 C. P. Burgess , R. C. Myers , F. Quevedo

We perform a general analysis of representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless…

High Energy Physics - Theory · Physics 2015-06-25 Sergio Ferrara , Emery Sokatchev

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

The subject matter of these lecture notes is the open bosonic critical string, its perturbative spectrum and interactions. We begin with a brief review of classical string propagation, quantization, as well as the level-by-level…

High Energy Physics - Theory · Physics 2026-02-06 Chrysoula Markou

We obtain the correct cohomology at any ghost number for the open and closed covariant superstring, quantized by an approach which we recently developed. We define physical states by the usual condition of BRST invariance and a new…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

The symmetries of string theory on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$ at the dual of the symmetric product orbifold point are described by a so-called Higher Spin Square (HSS). We show that the massive string spectrum in…

High Energy Physics - Theory · Physics 2016-10-12 Matthias R Gaberdiel , Rajesh Gopakumar

We construct an action for double field theory using a metric connection that is compatible with both the generalised metric and the O_{D,D} structure. The connection is simultaneously torsionful and flat. Using this connection one may…

High Energy Physics - Theory · Physics 2015-06-15 David S. Berman , Chris D. A. Blair , Emanuel Malek , Malcolm J. Perry

Little string theories (LSTs) are UV complete non-local 6D theories decoupled from gravity in which there is an intrinsic string scale. In this paper we present a systematic approach to the construction of supersymmetric LSTs via the…

High Energy Physics - Theory · Physics 2019-06-03 Lakshya Bhardwaj , Michele Del Zotto , Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the…

High Energy Physics - Theory · Physics 2009-11-11 Ido Adam , Pietro Antonio Grassi , Luca Mazzucato , Yaron Oz , Shimon Yankielowicz

We examine the Hamiltonian structure of nonabelian N=2 superstrings models which are the supergroup manifold extensions of N=2 Green-Schwarz superstring. We find the Kac-Moody and Virasoro type superalgebras of the relevant constraints and…

High Energy Physics - Theory · Physics 2009-12-14 A. P. Isaev , E. A. Ivanov

We present a complete proof of the Weak Gravity Conjecture in any perturbative bosonic string theory in spacetime dimension $D\ge6$. Our proof works by relating the black hole extremality bound to long range forces, which are more easily…

High Energy Physics - Theory · Physics 2025-06-13 Ben Heidenreich , Matteo Lotito