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We study the nonlinear sigma model (NLSM) worldsheet action describing the motion of closed bosonic strings in the target space of a two-dimensional (2D) flat cone in polar coordinates. We calculate the cylinder partition function. We first…

High Energy Physics - Theory · Physics 2025-12-02 Amr Ahmadain , Ming Yang

This article aims to study fractal interpolation functions corresponding to a sequence of iterated function systems (IFSs). For a suitable choice of a sequence of IFS parameters, the corresponding non-stationary fractal function is a better…

Dynamical Systems · Mathematics 2023-03-22 Anarul Islam Mondal , Sangita Jha

Cosmic strings are linear topological defects that may have been produced during symmetry-breaking phase transitions in the very early Universe. In an expanding Universe the existence of causally separate regions prevents such symmetries…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-15 Matthew A. Price , Matthijs Mars , Matthew M. Docherty , Alessio Spurio Mancini , Augustin Marignier , Jason. D. McEwen

A full quantum description of global vortex strings is presented in the framework of a pure Higgs system with a broken global U(1) symmetry in 3+1D. An explicit expression for the string creation operator is obtained, both in terms of the…

High Energy Physics - Theory · Physics 2009-10-31 H. Fort , E. Marino

Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinh-Gordon model). A new feature without flat spacetime analogy appears: starting with a single world-sheet, several (here two)…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , A. V. Mikhailov , N. Sanchez

The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor. Fast basins can have non-integer dimension and comprise a…

Dynamical Systems · Mathematics 2015-10-19 Michael F. Barnsley , Andrew Vince

Recent studies of the fluctuations of an open string in AdS space show some pieces of evidence that the string with a worldsheet horizon could be a dual description of SYK model, as they saturate universal chaos bound and share the same…

High Energy Physics - Theory · Physics 2017-09-20 Rong-Gen Cai , Shan-Ming Ruan , Run-Qiu Yang , Yun-Long Zhang

We study the instantons describing the production of particles at the ends of codimension-one objects (strings and struts) in $(2+1)$-dimensional Minkowski and de Sitter spaces. A Minkowskian background allows only for systems with…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Liam O'Brien , Lorenzo Sorbo

In this article, we study the novel concept of non-stationary iterated function systems (IFSs) introduced by Massopust in 2019. At first, using a sequence of different contractive operators, we construct non-stationary $\alpha$-fractal…

Dynamical Systems · Mathematics 2023-03-21 Anarul Islam Mondal , Sangita Jha

The BTZ black hole provides a tractable (2+1)-dimensional example for investigating string dynamics in curved spacetime. However, a systematic and robust analysis of the solution space of strings in the near-horizon region of BTZ black…

High Energy Physics - Theory · Physics 2026-05-04 Aritra Banerjee , Arkachur Bhattacharya , Sharang Rajesh Iyer , Ansh Mishra , Priyadarshini Pandit

In nature, there are many phenomena with both irregularity and uncertainty. Therefore, a fuzzy-valued fractal interpolation is more useful for modeling them than fuzzy interpolation or fractal interpolation. We construct fractal…

General Mathematics · Mathematics 2025-08-05 CholHui Yun , Hyang Choe , MiGyong Ri

In the present work, the notion of Super Fractal Interpolation Function (SFIF) is introduced for finer simulation of the objects of the nature or outcomes of scientific experiments that reveal one or more structures embedded in to another.…

Dynamical Systems · Mathematics 2012-01-18 G. P. Kapoor , Srijanani Anurag Prasad

We explain how the spacetime diffeomorphism in the classical bosonic closed string field theory (SFT) is represented as $L_\infty$ gauge transformations in weakly curved backgrounds. In particular, we demonstrate the explicit map between…

High Energy Physics - Theory · Physics 2025-04-17 Ben Mazel , Charles Wang , Xi Yin

Through the AdS/CFT correspondence, Lifshitz spacetimes describe field theories with dynamical scaling ($z \neq 1$). Although curvature invariants are small, the Lifshitz metric exhibits a null singularity in the IR with a large tidal force…

High Energy Physics - Theory · Physics 2013-01-16 Ning Bao , Xi Dong , Sarah Harrison , Eva Silverstein

We study the relationship between TsT transformations, marginal deformations of string theory on AdS$_3$ backgrounds, and irrelevant deformations of 2d CFTs. We show that TsT transformations of NS-NS backgrounds correspond to instantaneous…

High Energy Physics - Theory · Physics 2025-01-08 Luis Apolo , Stephane Detournay , Wei Song

We consider black strings in five dimensions and their description as a (4,0) CFT. The CFT moduli space is described explicitly, including its subtle global structure. BPS conditions and global symmetries determine the spectrum of charged…

High Energy Physics - Theory · Physics 2014-11-18 Finn Larsen , Emil Martinec

In theories with extended supersymmetry the protected observables of UV superconformal fixed points are found in a number of contexts to be encoded in the BPS solitons along an IR Coulomb-like phase. For six-dimensional SCFTs such a role is…

High Energy Physics - Theory · Physics 2018-09-26 Michele Del Zotto , Guglielmo Lockhart

We present a study of the worldsheets that describe the classical limit of various string scattering processes. Our main focus is on string scattering in AdS spacetime because of its relation via the AdS/CFT correspondence to gluon…

High Energy Physics - Theory · Physics 2008-11-26 Charles M. Sommerfield , Charles B. Thorn

We develop a scheme to make exactly solvable gauge theories whose electric flux lines host (1+1)-dimensional topological phases. We use this exact `decorated-string-net' framework to construct several classes of interesting models. In…

Strongly Correlated Electrons · Physics 2016-05-04 Daniel Ben-Zion , Diptarka Das , John McGreevy

We provide a direct world-sheet derivation of the couplings of NS-NS and R-R fluxes to various types of D-branes (including instantonic ones) by evaluating disk amplitudes among two open string vertex operators at a generic brane…

High Energy Physics - Theory · Physics 2008-12-18 Marco Billo' , Livia Ferro , Marialuisa Frau , Francesco Fucito , Alberto Lerda , Jose F. Morales
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