Sergio Cecotti's Books

Introduction to String Theory

By: Sergio Cecotti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the discipline. As such, this book, based on lecture notes, edited and expanded, from the graduate course taught by the author at SISSA and BIMSA, places particular emphasis on said mathematical background. The target audience for the book includes students of both theoretical physics and mathematics. This explains the book’s "strange" style: on the one hand, it is highly didactic and explicit, with a host of examples for the physicists, but, in addition, there are also almost 100 separate technical boxes, appendices, and starred sections, in which matters discussed in the main text are put into a broader mathematical perspective, while deeper and more rigorous points of view (particularly those from the modern era) are presented. The boxes also serve to further shore up the reader’s understanding of the underlying math. In writing this book, the author’s goal was not to achieve any sort of definitive conciseness, opting instead for clarity and "completeness". To this end, several arguments are presented more than once from different viewpoints and in varying contexts.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

846

Publisher

Springer Nature

Published Date

ISBN 10

3031365305

ISBN 13

9783031365300

Analytical Mechanics

A Concise Textbook

By: Sergio Cecotti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Analytical Mechanics

A Concise Textbook

By: Sergio Cecotti

This texbook is based on the author's lecture notes held at Quinzhen College, Tsinghua University, Beijing, renowned for nurturing mathematical prodigies. The book offers a remarkable combination of characteristics that are both exceptional and seemingly contradictory. It is designed to be entirely self-contained, starting from the basics and building a strong foundation in geometric and algebraic tools. Simultaneously, topics are infused with mathematical elegance and profundity, employing contemporary language and techniques. From a physicist's perspective, the content delves deeply into the physical aspects, emphasizing the underlying principles. This book bridges the gap between students and cutting-edge research, with a special focus on symplectic geometry, integrability, and recent developments in the field. It is designed to engage and captivate the reader. A conscious selection of topics ensures a more relevant and contemporary approach compared to traditional textbooks. The book addresseUs common misconceptions, offering clarity and precision. In its quest for brevity, this book is tailored for a one-semester course, offering a comprehensive and concise resource. The author's dedication is evident throughout this volume, encapsulating these goals within roughly 300 pages.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

N/A

Publisher

Springer

Published Date

ISBN 10

3031592638

ISBN 13

9783031592638

Supersymmetric Field Theories

By: Sergio Cecotti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Supersymmetric Field Theories

By: Sergio Cecotti

Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira-Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

425

Publisher

Cambridge University Press

Published Date

ISBN 10

1107053811

ISBN 13

9781107053816

Introduction to String Theory

By: Sergio Cecotti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Introduction to String Theory

By: Sergio Cecotti

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

846

Publisher

Springer Nature

Published Date

ISBN 10

3031365305

ISBN 13

9783031365300

Supersymmetric Mechanics - Vol. 2

The Attractor Mechanism and Space Time Singularities

By: Stefano Bellucci,Sergio Ferrara,Alessio Marrani

Write a review Read reviews Take a Quiz Solve Book Puzzle

Supersymmetric Mechanics - Vol. 2

The Attractor Mechanism and Space Time Singularities

By: Stefano Bellucci,Sergio Ferrara,Alessio Marrani

This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. This volume supplies a pedagogical introduction, at the non-expert level, to the attractor mechanism in space-time singularities. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at length.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

249

Publisher

Springer

Published Date

ISBN 10

3540341579

ISBN 13

9783540341574

Statistical Mechanics

A Concise Advanced Textbook

By: Sergio Cecotti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Statistical Mechanics

A Concise Advanced Textbook

By: Sergio Cecotti

This textbook is based on lecture notes that the author delivered at Qiuzhen College (Tsinghua University), a Chinese institution known for its exceptionally talented mathematics students. The book's intended audience shapes its character. It introduces Statistical Mechanics from the ground up, offering a fully self-contained presentation that aims for mathematical precision. It distinguishes rigorous results from controlled approximations and provides physical insights into phenomena. Despite its concise nature (suited for a one-semester basic course), this book covers several topics typically not found in introductory texts. These include Shannon's information-theoretic interpretation of entropy, the gauge approach to order-disorder duality in the Ising model, the Yang-Lee theory, and the quantum dissipation-fluctuation theorem. Additionally, it explores frustrated and quenched systems, including an introduction to the celebrated Parisi solution of the Sherrington-Kirkpatrick model of spin glasses. The path integral formalism is extensively discussed from various perspectives to suit different applications. Chapter 2 approaches path integrals through the Feynman-Kac formula and second quantization. In Chapter 5, they are examined within the context of effective field theories like Landau-Ginzburg theory, while Chapter 6 delves into their connection with Brownian motion, Langevin stochastic differential equations, and Fokker-Planck diffusion PDEs. The book also explores the relationship between stochastic processes and supersymmetry. Various techniques for computing path integrals, especially functional determinants, are introduced throughout the relevant chapters, offering the most suitable computational tools for each application.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

N/A

Publisher

Springer

Published Date

ISBN 10

3031678737

ISBN 13

9783031678738

Supersymmetric Field Theories

Geometric Structures and Dualities

By: Sergio Cecotti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Supersymmetric Field Theories

Geometric Structures and Dualities

By: Sergio Cecotti

Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira–Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

425

Publisher

Cambridge University Press

Published Date

ISBN 10

1316214001

ISBN 13

9781316214008

Book's by Sergio Cecotti

Introduction to String Theory

Introduction to String Theory

Analytical Mechanics

Analytical Mechanics

Supersymmetric Field Theories

Supersymmetric Field Theories

Introduction to String Theory

Introduction to String Theory

Supersymmetric Mechanics - Vol. 2

Supersymmetric Mechanics - Vol. 2

Statistical Mechanics

Statistical Mechanics

Supersymmetric Field Theories

Supersymmetric Field Theories

Username

Password

Username

Password

Password again

Birthday

Email