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Related papers: Lectures on Microstate Geometries

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We propose a novel strategy that permits the construction of completely general five-dimensional microstate geometries on a Gibbons-Hawking space. Our scheme is based on two steps. First, we rewrite the bubble equations as a system of…

High Energy Physics - Theory · Physics 2018-02-14 Jesus Avila , Pedro F. Ramirez , Alejandro Ruiperez

In this lecture I review recent results on the first order equations describing BPS extremal states, in particular N=2 extremal black-holes. The role of special geometry is emphasized also in the rigid theory and a comparison is drawn with…

High Energy Physics - Theory · Physics 2009-10-30 Pietro Fre'

We construct explicit examples of microstate geometries of four-dimensional black holes that lift to smooth horizon-free geometries in five dimensions. Solutions consist of half-BPS D-brane atoms distributed in $\mathbb{R}^3$. Charges and…

High Energy Physics - Theory · Physics 2017-07-05 Massimo Bianchi , Jose Francisco Morales , Lorenzo Pieri , Natale Zinnato

These five lectures collect elementary facts about 4D supersymmetric theories with emphasis on N=1 supersymmetry, as well as the basic notions of supersymmetric quantum mechanics. Contents: I. From symmetries to supersymmetry; II. Basic…

High Energy Physics - Theory · Physics 2015-12-25 Evgeny Ivanov

These lecture notes discuss various aspects of the fuzzball paradigm, microstate geometries, and their role in gravitational phenomenology. We briefly introduce the information paradox and discuss how the fuzzball paradigm aims to resolve…

High Energy Physics - Theory · Physics 2022-02-24 Daniel R. Mayerson

We revamp the constructive enumeration of 1/16-BPS states in the maximally supersymmetric Yang-Mills in four dimensions, and search for ones that are not of multi-graviton form. A handful of such states are found for gauge group SU(2) at…

High Energy Physics - Theory · Physics 2023-03-01 Chi-Ming Chang , Ying-Hsuan Lin

These lectures provide a self-contained introduction to the essential aspects of non-supersymmetric beyond the Standard Model (BSM) physics for beginning graduate students who are already familiar with quantum field theory. After a detailed…

High Energy Physics - Phenomenology · Physics 2018-11-13 Csaba Csáki , Salvator Lombardo , Ofri Telem

These notes were prepared for a lecture on black holes delivered at the DPG Physics School "General Relativity @ 99" (Physikzentrum Bad Honnef, Germany, September 2014). The common thread of the lecture is the relation between geodesic…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Emanuele Berti

We review recent results in the study of regular four dimensional BPS black holes in toroidally compactified type II (or M) theory. We discuss the generating solution for this kind of black holes, its microscopic description(s), and compute…

High Energy Physics - Theory · Physics 2007-05-23 M. Bertolini , M. Trigiante

In these lecture notes, a group-theoretical introduction to BMS symmetries is provided in a self-contained manner. More precisely, all definitions and structures are purely based on geometrical and group-theoretical notions defined at null…

High Energy Physics - Theory · Physics 2026-02-16 Xavier Bekaert , Yannick Herfray , Lea Mele , Noémie Parrini

We study the spatial structure of 1/4 BPS solitons in 4 dimensional N=4 gauge theory. A weak binding approximation is used where the soliton is made of several "ingredient" particles. Some spatial moduli are described which are not…

High Energy Physics - Theory · Physics 2007-05-23 Barak Kol , Michael Kroyter

These lectures provide a phenomenological introduction to supersymmetry, concentrating on the minimal supersymmetric extension of the Standard Model (MSSM). In the first lecture, motivations are provided for thinking that supersymmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 John Ellis

These are expanded notes for a short series of lectures, presented at the University of Luxembourg in 2017, giving an introduction to some of the ideas of supersymmetry and supergeometry. In particular, we start from some motivating facts…

Differential Geometry · Mathematics 2025-01-07 Andrew James Bruce

We argue that there exists a new class of completely smooth 1/8-BPS, three-charge bound state configurations that depend upon arbitrary functions of two variables. These configurations are locally 1/2-BPS objects in that if they form an…

High Energy Physics - Theory · Physics 2011-11-03 Iosif Bena , Jan de Boer , Masaki Shigemori , Nicholas P. Warner

This thesis investigates two main topics concerning black holes in extensions of general relativity inspired by string theory. First, the structure of the equations of motion underlying black hole solutions is considered, in theories of…

High Energy Physics - Theory · Physics 2010-12-01 Bert Vercnocke

We outline a systematic procedure to obtain horizonless microstate geometries that have the same charges as three-charge five-dimensional black holes with a macroscopically-large horizon area and an arbitrarily-small angular momentum. There…

High Energy Physics - Theory · Physics 2020-03-11 Iosif Bena , Pierre Heidmann , Pedro F. Ramirez

These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledge in general relativity might be…

High Energy Physics - Theory · Physics 2010-11-08 Sven Krippendorf , Fernando Quevedo , Oliver Schlotterer

This is the first of three PiTP lectures on complexity and its role in black hole physics.

High Energy Physics - Theory · Physics 2019-04-06 Leonard Susskind

We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically $\text{AdS}_{3}\times…

High Energy Physics - Theory · Physics 2019-10-23 Robert Walker

We present the construction of several microstate geometries of the supersymmetric D1-D5-P black hole in which, within six-dimensional supergravity, the momentum charge is carried by a vector field. The fully backreacted geometries are…

High Energy Physics - Theory · Physics 2022-12-15 Nejc Čeplak