Superstring theory in the 21st century / Gerold B. Charney, editor.

Format:

Book

Contributor:

Charney, Gerold B.

Series:

Horizons in world physics ; v. 270.

Horizons in world physics ; v. 270

Language:

English

Subjects (All):

Superstring theories.

Physical Description:

1 online resource (201 p.)

Edition:

1st ed.

Place of Publication:

Hauppauge, N.Y. : Nova Science Publishers, c2010.

Language Note:

English

Summary:

In this work, the authors present and review current data on superstring theory including topics such as the classification of elementary particles in the phase-trees theory, recent developments in constructing superstring amplitudes for genus g higher than 2, the cosmology of type IIB superstrings theory, and much more.

Contents:

Intro

SUPERSTRING THEORY IN THE 21ST CENTURY. HORIZONS IN WORLD PHYSICS. VOLUME 270

CONTENTS

PREFACE

Chapter 1 CLASSIFICATION OF ELEMENTARY PARTICLES IN THE PHASE-TREES THEORY

ABSTRACT

ELEMENTARY PARTICLES EP(4,6) OF RANGE FOUR

ELEMENTARY PARTICLES EP(5,7) OF RANGE FIVE

ELEMENTARY EIGHT-STOREY PHASE TREESOF RANGE SIX

REFERENCES

Chapter2MODULARFORMSANDSUPERSTRINGSAMPLITUDES

Abstract

1. Introduction

1.1. The Bosonic History

Conclusion

1.2. Supersymmetric Strings

2. The General Ansatz

3. Mathematical Background

3.1. The Symplectic Group

3.2. The Action of Sp(2g) on the Theta Characteristics

3.3. Modular Forms

3.4. Theta Constants with Characteristic

3.5. The Subgroup O+(2g) of Sp(2g)

3.6. Theta Constants and the Heisenberg Group

3.7. Turning back to the classical theta constants with characteristic

3.8. Modular group and representations

4. Some Remarks on the Constraints

5. Existence and Uniqueness of the Forms 8[ ]

5.1. The case g = 1

5.2. The case g = 2

5.3. The case g = 3

5.4. Representations of Sp(6)

5.5. The uniqueness of 8[0(3)]

5.6. The case g = 4

5.7. The Sp(8)-representation onM

5.8. The cosmological constant in g = 3, g = 4

6. Conclusion

Acknowledgments

A Restricted and Induced Representations

References

Chapter3THECOSMOLOGYOFTHETYPEIIBSUPERSTRINGSTHEORYWITHFLUXES

2. Inflation

3. The Potential

3.1. Field equations

4. Inflationary Phenomenology of the Model

4.1. Density Perturbations

4.2. Field-Dominated Region

4.3. Vacuum Energy-Dominated Regime

4.4. Intermediate Regime

4.5. Vacuum-Dominated Region Revisited

4.6. Field Equations

4.7. Results

5. The Two Fields Analysis.

6. The Cosmology

7. Conclusions

8. Acknowledgments

Chapter4BOSONICSTRINGANDSTRINGFIELDTHEORY:ASOLUTIONUSINGTHEHOLOMORPHICREPRESENTATION

2. The Constraints for a Bosonic String

3. A Representation of the States of the Closed String

4. The String Field

5. The Action for the String Field

6. Discussion

Chapter5THERMALANDQUANTUMINDUCEDEARLYSUPERSTRINGCOSMOLOGY

1. Why and How Studying Superstring Cosmology?

2. Basics of our Approach

2.1. Thermodynamics and Variational Principle

2.2. Supersymmetric String Models at Finite T

3. Non-supersymmetric String Models at Finite T

3.1. Supersymmetry Breaking Involving n = 1 Internal Dimension

3.2. n = 2 Models and Complex Structure Stabilization

4. Stabilization of K¨ahler Structures

5. Conclusions and Perspectives

Chapter6SUPERSYMMETRICSTANDARDMODELANDITSPARTICLESPECTRUMFROMFOURDIMENSIONALSUPERSTRING*

1 Introduction

2 Construction of Superstring in Four Dimensions

3 Local 2D Supersymmetry and the Constraints

4 World Sheet Supersymmetry Algebra and Absenceof Tachyons

5 Quantisation and Virasoro Algebra Generators

6 Bosonic and Fermionic Physical States

7 Conformal and Superconformal Ghosts and the NilpotentBSRT Charge

8 The Mass Spectrum, G.S.O. Operator and ModularInvariance

9 Supersymmetric Standard Model

10 Supersymmetric Standard Model Particle Spectrum

11 Conclusion

INDEX

Blank Page.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61668-446-1

OCLC:

923663765