Strings, gauge fields, and the geometry behind : the legacy of Maximilian Kreuzer / editors, Anton Rebhan ...[et. al.].

Format:

Book

Contributor:

Rebhan, Anton.

Language:

English

Subjects (All):

Quantum theory.

Geometry, Algebraic.

Physical Description:

1 online resource (566 p.)

Place of Publication:

Singapore ; New Jersey : World Scientific, 2013.

Language Note:

English

Summary:

This book contains exclusively invited contributions from collaborators of Maximilian Kreuzer, giving accounts of his scientific legacy and original articles from renowned theoretical physicists and mathematicians, including Victor Batyrev, Philip Candelas, Michael Douglas, Alexei Morozov, Joseph Polchinski, Peter van Nieuwenhuizen, and Peter West.Besides a collection of review and research articles from high-profile researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration of string theory vacua and corr

Contents:

Contents; Foreword by the Editors; I. Gauge Field Theory, Anomalies, and Supersymmetry; 1. BRST symmetry and cohomology N. Dragon and F. Brandt; 1. The space of physical states; 1.1. Indefinite Fock space; 1.2. Definiteness of the scalar product of physical states; 1.3. Classical electrodynamics; 1.4. The physical states; 1.5. Gauge parameter λ 1; 2. BRST symmetry; 2.1. Graded commutative algebra; 2.2. Conjugation; 2.3. Independence of the gauge fixing; 2.4. Invariance and anomalies; 3. Cohomological problems; 3.1. Basic lemma; 3.2. Algebraic Poincare lemma; 3.3. Descent equation

3.4. K unneth's theorem4. BRST algebra of gravitational Yang-Mills theories; 4.1. Covariant operations; 4.2. Transformation and exterior derivative; 4.3. Factorization of the algebra; 5. BRST cohomology on ghosts and tensors; 5.1. Invariance under adjoint transformations; 5.2. Lie algebra cohomology; 5.3. Covariant Poincare lemma; 5.4. Chern forms; 6. Chiral anomalies; 6.1. Chern-Simons forms; 6.2. Level decomposition; 6.3. Anomaly candidates; 7. Inclusion of antifields; 7.1. BRST-antifield formalism; 7.2. The antifield dependent BRST cohomology; 7.2.1. First strategy; 7.2.2. Second strategy

7.3. Characteristic cohomology and weak covariant Poincar e lemma7.4. Antifield dependent representatives of the BRST cohomology; References; 2. Aspects of supersymmetric BRST cohomology F. Brandt; 1. Introduction; 2. Supersymmetry algebra cohomology (SAC); 3. SUSY ladder equations; 4. Emergence of SAC in supersymmetric BRST cohomology; 5. Descent equations in supersymmetric BRST cohomology; 6. Example in two dimensions; 6.1. Model; 6.2. BRST transformations for the model; 6.3. Trivial pairs and generalized tensors; 6.4. BRST transformations of the T and SUSY algebra

6.5. Computation of the supersymmetric BRST cohomology6.6. Solutions to the descent equations; 7. Concluding remarks; Acknowledgment; References; 3. Character expansion for HOMFLY polynomials I. Integrability and di.erence equations A. Mironov, A. Morozov and A. Morozov; 1. Introduction; 2. HOMFLY polynomials as sums of characters; 2.1. Character expansion of HOMFLY polynomials; 2.2. HOMFLY for any knot with 2,3,4 braids in the fundamental representation; 3. Integrability; 3.1. Continuation from t* to arbitrary t; 3.2. Torus knots; 3.3. Non-torus knot/link examples

4. Difference equations for torus knots in the case of N = 24.1. Knot polynomial as an average; 4.2. Vk[m; n] from the matrix model; 4.3. Simplest example of the trefoil 31 = [2, 3]; 5. Conclusion; Acknowledgments; References; 4. Bicategories in field theories - an invitation T. Nikolaus and C. Schweigert; 1. Introduction; 2. Equivariant Hopf algebras from topological field theories; 3. 2-stacks and gerbes; 3.1. 2-stacks; 3.2. Jandl gerbes; 4. RCFT correlators from TFT; 4.1. Surface operators; 4.2. The Kreuzer-Schellekens bihomomorphism

4.3. RCFT correlators and the Kreuzer-Schellekens partition function

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-283-97154-2

981-4412-55-4

OCLC:

827210176