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Universal Coefficient Theorem and Quantum Field Theory

Name: Universal Coefficient Theorem and Quantum Field Theory
Brand: Springer International Publishing AG
SKU: 19415837
Price: 102.9 EUR
Availability: InStock
Author: ANDREI-TUD PATRASCU
ISBN: 9783319834511

A Topological Guide for the Duality Seeker

ANDREI-TUD PATRASCU

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 19415837

Nakladateľstvo Springer International Publishing AG, apríl 2018

This thesis describes a new connection between algebraic geometry, topology, number theory and quant... Celý popis

Libristo kód: 19415837

249 b

102.90 €

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This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics-one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.