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A recently discovered relation between 4D and 5D black holes is used to derive exact (weighted) BPS black hole degeneracies for 4D N=8 string theory from the exactly known 5D degeneracies. A direct 4D microscopic derivation in terms of…

High Energy Physics - Theory · Physics 2009-11-11 David Shih , Andrew Strominger , Xi Yin

We investigate the evolution of infinite strings as a part of a complete cosmic string network in flat space. We perform a simulation of the network which uses functional forms for the string position and thus is exact to the limits of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Vitaly Vanchurin , Ken Olum , Alexander Vilenkin

We study arithmetic progressions of squares over quadratic extensions of number fields. Using a method inspired by an approach of Mordell, we characterize such progressions as quadratic points on a genus $5$ curve. Specifically, we…

Number Theory · Mathematics 2026-05-07 Enrique González-Jiménez

We introduce a new type IIB 5-brane description for the E-string theory which is the world-volume theory on the M5-brane probing the end of the world M9-brane. The E-string in the new realization is depicted as spiral 5-branes web equipped…

High Energy Physics - Theory · Physics 2015-08-04 Sung-Soo Kim , Masato Taki , Futoshi Yagi

We construct numerically static non-uniform black string solutions in six dimensions by using pseudo-spectral methods. An appropriately designed adaptation of the methods in regard of the specific behaviour of the field quantities in the…

High Energy Physics - Theory · Physics 2015-09-11 Michael Kalisch , Marcus Ansorg

A two-dimensional string is simply a two-dimensional array. We continue the study of the combinatorial properties of repetitions in such strings over the binary alphabet, namely the number of distinct tandems, distinct quartics, and runs.…

Formal Languages and Automata Theory · Computer Science 2021-06-01 Paweł Gawrychowski , Samah Ghazawi , Gad M. Landau

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

We show that in 6d models localizing gravity on stringlike defects and satisfying the dominant energy condition, the metric exterior to the string inevitably depends on the string's thickness. As a consequence, in the limit of thin string…

High Energy Physics - Theory · Physics 2009-11-07 Peter Tinyakov , Katarzyna Zuleta

Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation…

High Energy Physics - Theory · Physics 2021-09-15 Yvonne Geyer , Lionel Mason , David Skinner

Even at tree level, the first quantized string theory suffers from apparent short distance singularities associated with collision of vertex operators that prevent us from straightforward numerical computation of various quantities.…

High Energy Physics - Theory · Physics 2020-01-08 Ashoke Sen

We construct a hierarchy of supersymmetric string theories by showing that the general N-extended superstrings may be viewed as a special class of the (N+1)-extended superstrings. As a side result, we find a twisted (N+2) superconformal…

High Energy Physics - Theory · Physics 2009-10-28 Fiorenzo Bastianelli , Nobuyoshi Ohta , Jens Lyng Petersen

In addition to being a prime candidate for a fundamental unified theory of all interactions in nature, string theory provides a natural setting to understand gauge field theories. This is linked to the concept of "D-branes": extended,…

High Energy Physics - Phenomenology · Physics 2015-06-25 Sunil Mukhi

In this paper, we describe in detail a scheme for the construction of highly accurate numerical solutions to Einstein's field equations in five and six spacetime dimensions corresponding to non-uniform black strings. The scheme consists of…

General Relativity and Quantum Cosmology · Physics 2016-10-20 Michael Kalisch , Marcus Ansorg

We study 6d E-string theory with defects on a circle. Our basic strategy is to apply the geometric transition to the supersymmetric gauge theories. First, we calculate the partition functions of the 5d SU(3)$_0$ gauge theory with 10…

High Energy Physics - Theory · Physics 2021-01-01 Sung-Soo Kim , Yuji Sugimoto , Futoshi Yagi

We review the status of low-scale string theories and large extra-dimensions. After an overview on different string realizations, we discuss some of the main important problems and we summarize present bounds on the size of possible…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. Antoniadis , K. Benakli

We propose refined topological vertex formalism for 5-brane systems with ON-planes by introducing a new vertex associated with reflection over an ON-plane, which gives rise to new vertex and edge factors. We test our proposal against…

High Energy Physics - Theory · Physics 2022-08-09 Sung-Soo Kim , Xing-Yue Wei

String diagrams are a graphical language used to represent processes that can be composed sequentially or in parallel, which correspond graphically to horizontal or vertical juxtaposition. In this paper we demonstrate how to compute the…

Category Theory · Mathematics 2024-04-04 Celia Rubio-Madrigal , Jules Hedges

Recent developments in string theory suggest that there might exist extra spatial dimensions, which are not small nor compact. The framework of most brane cosmological models is that in which the matter fields are confined on a brane-world…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. J. Reboucas , J. Santos

A string action is considered in four spacetime dimensions which is obtained by dimensionally reducing the ten dimensional effective action. The equations of motion admit string like solutions. The symmetry properties of the four…

High Energy Physics - Theory · Physics 2009-10-28 Jnanadeva Maharana

We use string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. We obtain concise geometric expressions for the objects describing bulk and boundary…

Quantum Algebra · Mathematics 2022-11-09 Jürgen Fuchs , Christoph Schweigert , Yang Yang