Homotopy theory | Differential geometry | Group theory

String group

In topology, a branch of mathematics, a string group is an infinite-dimensional group introduced by as a -connected cover of a spin group. A string manifold is a manifold with a lifting of its frame bundle to a string group bundle. This means that in addition to being able to define holonomy along paths, one can also define holonomies for surfaces going between strings. There is a short exact sequence of topological groups where is an Eilenberg–MacLane space and is a spin group. The string group is an entry in the Whitehead tower (dual to the notion of Postnikov tower) for the orthogonal group: It is obtained by killing the homotopy group for , in the same way that is obtained from by killing . The resulting manifold cannot be any finite-dimensional Lie group, since all finite-dimensional compact Lie groups have a non-vanishing . The fivebrane group follows, by killing . More generally, the construction of the Postnikov tower via short exact sequences starting with Eilenberg–MacLane spaces can be applied to any Lie group G, giving the string group String(G). (Wikipedia).

Video thumbnail

String Theory Overview

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than

From playlist Physics

Video thumbnail

What is the goal of string theory?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: String Theory

Video thumbnail

Is string theory a unified theory?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: String Theory

Video thumbnail

Fun with Strings

Experimenting and seeing what we can do with strings

From playlist Computer Science

Video thumbnail

What is the most important achievement of string theory?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: String Theory

Video thumbnail

String theory pros and cons

In this video I explain why so many physicists believe in string theory but that it also comes with a number of problems. It requires the existence of additional dimensions of space (which we do not see), of new particles (which we do not see), and of new fields (leading to deviations from

From playlist Physics

Video thumbnail

How was string theory discovered?

String theory is a rare theory in physics, one of few who died but was later made useful in a new form. Brian Greene explains string theory's curious history. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like u

From playlist Science Unplugged: String Theory

Video thumbnail

What is a brane?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: String Theory

Video thumbnail

Answers (Part One) - Sixty Symbols

We answer viewer questions about string theory, gravity, magnetism and the speed of light - and more. See more videos at http://www.sixtysymbols.com/ Follow us on Twitter at http://twitter.com/periodicvideos Or on Facebook at http://www.facebook.com/pages/Sixty-Symbols-Fan-Page/10150

From playlist Viewer Questions - Sixty Symbols

Video thumbnail

Regular Expressions in Python - FULL COURSE (1 HOUR) - Programming Tutorial

In this Python Tutorial, we will be learning about Regular Expressions (Regex) in Python. Regular expressions are a powerful language for matching text patterns. Possible pattern examples for searches are e-mail addresses or domain names. This video covers all you need to know to understan

From playlist Crash Courses

Video thumbnail

David Morrison - WHAT IS … F-theory? [2014]

Dave Morrison Event: SCGP Weekly Talk Title: WHAT IS … F-theory? Date: 2014-09-09 @1:00 PM Location: 102 Abstract: In the spirit of the “WHAT IS …” series of articles in the Notices of the American Mathematical Society, I will give a description of F-theory from first priniciples. On the

From playlist Mathematics

Video thumbnail

Learn Regular Expressions (Regex) - Crash Course for Beginners

Regular expressions (or Regex) are patterns used to match character combinations in strings. In this crash course tutorial, you will learn how to use regular expressions in JavaScript. You will be able to apply the concepts to any programming language. This course follows along with the f

From playlist JavaScript Tutorials

Video thumbnail

An Introduction to the AdS/CFT Correspondence (Lecture 1) by David Berenstein

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

Video thumbnail

Bea Schumann - String Cones and Cluster Varieties

We study defining inequalities of string cones via a potential function on a reduced double Bruhat cell. We give a necessary criterion for the potential function to provide a minimal set of inequalities via tropicalization and conjecture an equivalence. This is based on joint work with Gle

From playlist Combinatorics and Arithmetic for Physics: special days

Video thumbnail

What is a Tensor? Lesson 19: Algebraic Structures I

What is a Tensor? Lesson 19: Algebraic Structures Part One: Groupoids to Fields This is a redo or a recently posted lesson. Same content, a bit cleaner. Algebraic structures are frequently mentioned in the literature of general relativity, so it is good to understand the basic lexicon of

From playlist What is a Tensor?

Video thumbnail

Regular Expressions in Python || Python Tutorial || Learn Python Programming

𝙎𝙩𝙖𝙮 𝙞𝙣 𝙩𝙝𝙚 𝙡𝙤𝙤𝙥 𝙄𝙉𝙁𝙄𝙉𝙄𝙏𝙀𝙇𝙔: https://snu.socratica.com/python Regular Expressions (regex for short) is a way to search for patterns in strings. Python provides the re module to assist you in your efforts to search through strings. Maybe you want to find names in a database that satisfy ce

From playlist Python Programming Tutorials (Computer Science)

Video thumbnail

Python Tutorial: re Module - How to Write and Match Regular Expressions (Regex)

In this Python Programming Tutorial, we will be learning how to read, write, and match regular expressions with the re module. Regular expressions are extremely useful for matching common patterns of text such as email addresses, phone numbers, URLs, etc. Learning how to do this within Pyt

From playlist Python Tutorials

Video thumbnail

0008 - C++ programming: finishing up a URI parsing class

This is #8 in my series of live (Twitch) coding streams, working on writing my own web server and service framework in C++. This stream I finished up URI parsing, validating URIs having IPv6 or IPv-future addresses. I also did about half of the code to generate strings from URIs. Everyt

From playlist Excalibur

Video thumbnail

What is String Theory? Ashoke Sen

https://strings2015.icts.res.in/publicEvents.php

From playlist Particles, Gravity and Strings

Video thumbnail

2.9: Regular Expressions: replace() - Programming with Text

In this video, I cover the JavaScript function replace(). The function allows you to search for a string (by matching a regular expression) and replace that string. The replacement can be a literal string itself or you can pass in a callback where you can use logic and programming to gen

From playlist Session 2: Regular Expressions - Programming with Text

Related pages

Lie group | Homotopy group | Groupoid | Topology | Holonomy | Bundle gerbe | Topological group | Frame bundle | Exact sequence | Elliptic cohomology | Spin group | Classifying space | N-group (category theory) | Eilenberg–MacLane space | Mathematics | 2-group | Manifold | Gerbe | Orthogonal group | Homotopy fiber