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We couple twisted non-compact N=(2,2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove…

High Energy Physics - Theory · Physics 2019-02-20 Songyuan Li , Jan Troost

Large Extra Dimensions Models have been proposed to remove the hierarchy problem and give an explanation why the gravity is so much weaker than the other three forces. In this work, we present an analysis of Monte Carlo data events for new…

High Energy Physics - Phenomenology · Physics 2015-07-15 Nady Bakhet , Maxim Yu Khlopov , Tarek Hussein

Area variables are intrinsic to connection formulations of general relativity, in contrast to the fundamental length variables prevalent in metric formulations. Within 4D discrete gravity, particularly based on triangulations, the…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Seth K. Asante , Taylor Brysiewicz

In the Minimum $d$-Dimensional Arrangement Problem (d-dimAP) we are given a graph with edge weights, and the goal is to find a 1-1 map of the vertices into $\mathbb{Z}^d$ (for some fixed dimension $d\geq 1$) minimizing the total weighted…

Data Structures and Algorithms · Computer Science 2013-07-26 Anupam Gupta , Anastasios Sidiropoulos

We consider null warped AdS(3) solutions of three-dimensional gravity coupled to a massive vector field. We isolate a certain set of non-propagating solutions to the equations of motion, which we argue are the ones relevant for…

High Energy Physics - Theory · Physics 2015-06-03 Monica Guica

The negative results in the search for Kaluza-Klein graviton modes at the LHC, when confronted with the discovery of the Higgs, has been construed to have severely limited the efficacy of the Randall-Sundrum model as an explanation of the…

High Energy Physics - Phenomenology · Physics 2015-05-19 Mathew Thomas Arun , Debajyoti Choudhury , Ashmita Das , Soumitra SenGupta

We explore the phenomenological implications at colliders for the existence of higher-curvature gravity as extensions to both the Randall-Sundrum(RS) and Arkani-Hamed, Dimopoulos and Dvali(ADD) scenarios. Such terms are expected to arise on…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas G. Rizzo

We investigate a scenario with two four-branes embedded in six dimensions. When the metric is periodic and compact in one of the dimensions parallel to the branes, the value of the effective cosmological constant for the remaining five…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hael Collins , Bob Holdom

Inspired by the Randall-Sundrum (RS) framework we consider a number of phenomenologically relevant model building questions on a slice of compactified AdS_d for d >5. Such spaces are interesting as they enable one to realize the weak scale…

High Energy Physics - Phenomenology · Physics 2010-04-06 Kristian L. McDonald

This paper introduces a geometric representation of hypergraphs by representing hyperedges as simplices. Building on this framework, we employ homotopy groups to analyze the topological structure of hypergraphs embedded in high-dimensional…

Combinatorics · Mathematics 2025-11-14 Qiming Fang , Sihong Shao

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

We present a toy model of a generic five-dimensional warped geometry in which the 4D graviton is not fully localized on the brane. Studying the tensor sector of metric perturbation around this background, we find that its contribution to…

High Energy Physics - Theory · Physics 2010-12-03 M. Shaposhnikov , P. Tinyakov , K. Zuleta

Solutions of D=7 maximal gauged supergravity are constructed with metrics that are a product of a n-dimensional anti-de Sitter (AdS) space, with n=2,3,4,5, and certain Einstein manifolds. The gauge fields have the same form as in the…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Nakwoo Kim , Stathis Pakis , Daniel Waldram

We reinvestigate the classic example of the chiral anomaly in (1+1) dimensional spacetime. By reviewing the derivation of charge conservation using the semiclassical Boltzmann equation, we show that chiral anomalies could emerge in (1+1)…

High Energy Physics - Theory · Physics 2024-12-31 Wei-Han Hsiao , Chiao-Hsuan Wang

There has been recent interest in new types of topological defects arising in models with compact extra dimensions. We discuss in this context the old statement that if only SU(N) gauge fields and adjoint matter live in the bulk, and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. P. Korthals Altes , M. Laine

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

Warped AdS$_3$ solutions in 10 dimensional supergravity that preserve ${\cal N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS$_3$ factor experiencing an enhancement to AdS$_4$,…

High Energy Physics - Theory · Physics 2022-04-13 Niall T. Macpherson , Alessandro Tomasiello

We show that an anomaly-free description of matter in (1+1) dimensions requires a deformation of the 2d relativity principle, which introduces a non-trivial center in the 2d Poincare algebra. Then we work out the reduced phase-space of the…

High Energy Physics - Theory · Physics 2008-11-26 R. O. de Mello

We consider the timelike version of Warped Anti-de Sitter space (WAdS), which corresponds to the three-dimensional section of the G\"{o}del solution of four-dimensional cosmological Einstein equations. This geometry presents closed timelike…

High Energy Physics - Theory · Physics 2015-06-29 L. Donnay , J. J. Fernandez-Melgarejo , G. Giribet , A. Goya , E. Lavia

We analyze the bound on gauge couplings $e\geq m/m_p$, suggested by Arkani-Hamed et.al. We show this bound can be derived from simple semi-classical considerations and holds in spacetime dimensions greater than or equal to four. Non abelian…

High Energy Physics - Theory · Physics 2009-11-11 Tom Banks , Matt Johnson , Assaf Shomer