Group Theory webbook, P. Cvitanović

a highly random selection of vaguely related literature

Fun links

Finding Moonshine: A Mathematician's Journey Through Symmetry
Marcus du Sautoy, Economist review
see also Times Online

Papers using birdtrack techniques

Stefan Keppeler: Birdtracks for SU(N)
Judith Alcock-Zeilinger and Heribert Weigert: Simplification rules for birdtrack operators
Judith Alcock-Zeilinger and Heribert Weigert: Compact Hermitian Young projection operators
Judith Alcock-Zeilinger and Heribert Weigert: Transition Operators
Christopher Beem, Madalena Lemos, Pedro Liendo, Leonardo Rastelli, Balt C. van Rees: The N=2 superconformal bootstrap DOI
Miguel S. Costa and Tobias Hansen: Conformal correlators of mixed-symmetry tensors
Stefan Keppeler and Malin Sjödahl: Hermitian Young Operators
Malin Sjödahl and Stefan Keppeler: Tools for calculations in color space
Malin Sjödahl: ColorMath - A package for color summed calculations in SU(Nc)
(check the paper for further references)
Malin Sjödahl: Orthogonal multiplet bases in color space
Stefan Keppeler and Malin Sjödahl: Orthogonal multiplet bases in SU(Nc) color space
Bruce W. Westbury: Recoupling theory for quantum spinors
Yoshimasa Hidaka, Robert D. Pisarski: Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
Adam S. Sikora and Bruce W. Westbury: Confluence theory for graphs
N. J. MacKay and A. Taylor: Rational R-matrices, centralizer algebras and tensor identities for e_6 and e_7 exceptional families of Lie algebras
James F. Blinn: Using Tensor Diagrams To Represent And Solve Geometric Problems
John C. Baez and Aaron Lauday: A Prehistory of n-Categorical Physics
A.G. Grozin: Lectures on QED and QCD, with / SU(N) birdtracks
F. Maltoni, K. Paul, T. Stelzer and S. Willenbrock: Color-flow decomposition of QCD amplitudes
Umut Gursoy: Vector operators in the BMN correspondence
Adam S. Sikora: SL_n-Character Varieties as Spaces of Graphs
Trans. Amer. Math. Soc. 353 (2001), no. 7, 2773--2804
Ehud Fuchs: The U(1)s in the Finite N Limit of Orbifold Field Theories
Vittorio Del Duca, Lance Dixon, Fabio Maltoni: Gluon colors
E. Gabrielli: Extended Gauge Theories in Euclidean Space with Higher Spin Fields
J. A. M. Vermaseren: Some problems in loop calculations

Some exceptional Lie algebras publications

	Bulk and boundary $g_2$ factorized S-matrices N. MacKay, B. Short
	Beta Functions of Orbifold Theories and the Hierarchy Problem C. Csaki, W. Skiba and J. Terning
	The Octonions John C. Baez
	On the dimension of a composition algebra M. Rost
	Ein tensorkategorieller Zugang zum Satz von Hurwitz (A tensor-categorical approach to Hurwitz's theorem), Diplomarbeit ETH Zurich (March 1998) D. Boos

Potts models/e_8 family
Wenzel on Deligne construction of except. Lie algebras
Deligne & Gross Magic Triangle paper
Pierre Deligne's Preprints
Exceptional groups/Luebeck
Nonlinear Sigma/E_6,E_7
Kiyoshi Higashijima, Muneto Nitta: Supersymmetric Nonlinear Sigma Models as Gauge Theories
Konstantin Zyablyuk: N=2, D=6 supergravity with E_7 gauge matter
A.J. Macfarlane, Hendryk Pfeiffer: Representations of the exceptional and other Lie algebras with integral eigenvalues of the Casimir operator
A. J. Macfarlane: Lie algebra and invariant tensor technology for g2
A.J. Mountain: Invariant tensors and Casimir operators for simple compact Lie groups

IHX relation

J. Conant: Fusion and fission in graph complexes
Pacific Journal of Mathematics

Feynman diagrams

R Longoni: Feynman Diagrams and Vassiliev Invariants
Sigurd Schelstraete, Henri Verschelde: A technique for generating Feynman Diagrams

Negative dimensions

Ruben L. Mkrtchyan: On the map of Vogel's plane
Ruben L. Mkrtchyan and Alexander P. Veselov: Universality in Chern-Simons theory
Ruben L. Mkrtchyan and Alexander P. Veselov: On duality and negative dimensions in the theory of Lie groups and symmetric spaces
Alexander P. Veselov: Universal formulae for Casimir values
R. L. Mkrtchian: The Equivalence Of Sp(2n) And So(2n) Gauge Theories
Phys. Lett. B 105, 174 (1981)
Pawel Caputa, Robert de Mello Koch, Pablo Diaz: Operators, Correlators and Free Fermions for SO(N) and Sp(N)
S. Ramgoolam: Comment on two-dimensional O(N) and Sp(N) Yang-Mills theories as string theories
Nucl. Phys. B 418, 30 (1994)
G. V. Dunne: NEGATIVE DIMENSIONAL GROUPS IN QUANTUM PHYSICS - Cited by 14
J. Phys. A: Math. Gen. 22 (1989) 1719-1736
John H. Brodie and Matthew J. Strassler: Patterns of Duality in N=1 SUSY Gauge Theories
Nobuhito Maru and Shinsaku Kitakado: Negative dimensional group extrapolation and dualities in N = 1 supersymmetric gauge theories
Soo-Jong Rey: M(atrix) Theory on the Negative Light-Front
John Brodie, Peter Cho and Kenneth Intriligator: Misleading Anomaly Matchings?
Markus Fulmek and Christian Krattenthaler: Lattice path proofs for determinant formulas for symplectic and orthogonal characters (discusses odd symplectic dimensions)

Planar Field Theory

G. 't Hooft "A planar diagram theory for strong interactions": Nucl. Phys. B 72, 461 (1974).
A fundamental `birdtracks' paper. Introduced diagrammatic double-line notation for the adjoint representation of U(n). Does not introduce birdtrack projection operators for SU(n) and other groups. That is done in my 1976 paper.
G. 't Hooft "On the phase transition towards permanent quark confinement": Nucl. Phys. B 138, 1 (1978).
No `birdtracks.' The projection operator for the adjoint representation of SU(n) given in (2.18) is the same as in the above 1976 paper and in birdtracks.eu, up to a normalization.
G. 't Hooft "Counting planar diagrams with various restrictions": A very nice paper. Inter alia, rederives my 1981 planar field theory equations, without a citation.
B Lucini, M Panero: SU(N) gauge theories at large N
O. Haan: A Free-Algebraic Solution for the Planar Approximation
dx.doi.org/10.1016/j.nuclphysb.2004.10.040
M. Araki, Y. Tanii: Ward-Takahashi Identities in Large N Field Theories
Djordje Minic: Curiosities on Free Fock Spaces
Djordje Minic: Remarks on Large N Coherent States
A. Gonzalez-Arroyo, C. Pena: Large N corrections to the strong coupling behaviour of SU(N)/Z_N lattice gauge theories

Zero-dimensional Field Theory, Diagram counting

A. Prunotto, W.M. Alberico and P. Czerski, "Feynman Diagrams and Rooted Maps": The Rooted Maps Theory, is used for investigating the topological properties of Feynman diagrams, related to the single particle propagator in the quantum many-body systems.
Luca G. Molinari "Hedin's equations and enumeration of Feynman's graphs": Hedin's equations are solved perturbatively in zero dimension to count Feynman graphs for self-energy, polarization, propagator, effective potential and vertex function.

cond-mat/0401500: Hedin's equations and enumeration of Feynman's graphs,
zer-dim theory2/write?
Zero-dimensional field theory / write?
Negative rank/Hornfeck
Axial Anomaly And Dimensional Regularization - A Review (ResearchIndex)

Group Theory books

Symmetries, Lie algebras and representations,: Jürgen Fuchs and Christoph Schweigert, with many links to literature, Lie group programs etc..
ATLAS of Finite Group representations: ATLAS of Finite Group representations: contains representations of many finite simple groups and related groups such as covering groups and
R N Cahn: Group Theory book
CRM: DR: Simple Lie Algebras
Geometry.Net - Group_Theory books
Symmetries, Groups, Algebras
The Dog School of Mathematics Presents

Group Theory links

Octonions/baez
GR Group Theory
CVIT - Program for fast calculation of Dirac's <img>-matrices traces
CRM: DR: simpLie
Group Theory
Wild Birds Unlimited: San Jose, CA
GROUP THEORY LINKS
Jordan Theory Preprint Archives
Lie Groups and Quantum Mechanics
Superalgebras refs
Group Theory/geometry.net
Denotations of semi-simple Lie algebras
Theorie des groupes/Jussieu
Xth Oporto Meeting Topology, Goeometry, Physics
Xth OPORTO MEETING ON GEOMETRY, TOPOLOGY AND PHYSICS: Courses