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Quantum Triangulations

Moduli Spaces, Strings, and Quantum Computing

  • Mauro Carfora
  • Annalisa Marzuoli

Part of the Lecture Notes in Physics book series (LNP, volume 845)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Mauro Carfora, Annalisa Marzuoli
    Pages 1-54
  3. Mauro Carfora, Annalisa Marzuoli
    Pages 55-81
  4. Mauro Carfora, Annalisa Marzuoli
    Pages 83-114
  5. Mauro Carfora, Annalisa Marzuoli
    Pages 115-174
  6. Mauro Carfora, Annalisa Marzuoli
    Pages 175-216
  7. Mauro Carfora, Annalisa Marzuoli
    Pages 217-254
  8. Back Matter
    Pages 255-284

About this book

Introduction

Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment.

 

The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.

 

This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.  

Keywords

Dynamical triangulations Mathematical methods for quantum computing Moduli spaces Polyhedral manifolds Quantum Liouville Theory Quantum geometry Quantum gravity and non-critical string theory Topological quantum Field Theory

Authors and affiliations

  • Mauro Carfora
    • 1
  • Annalisa Marzuoli
    • 2
  1. 1.Dipto. Fisica Nucleare e TeoricaUniversità degli Studi di PaviaPaviaItaly
  2. 2.Dipto. Fisica Nucleare e TeoricaUniversità degli Studi di PaviaPaviaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-24440-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-24439-1
  • Online ISBN 978-3-642-24440-7
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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