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Publications & Preprints

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Project D4: Howe pairs and Fock representations, and conformal fields

2015

Bott-Kitaev Periodic Table and the Diagonal Map
R. Kennedy, M.R. Zirnbauer
arXiv:1412.4808
Phys. Scr. T 164 (2015) 014010
Homotopy Theory of Strong and Weak Topological Insulators
R. Kennedy, C. Guggenheim
arXiv:1409.2529
Phys. Rev. B 91, 245148 (2015)
Bott periodicity for Z 2 symmetric ground states of gapped free-fermion systems
R. Kennedy, M. R. Zirnbauer
arXiv:1409.2537
Commun. Math. Phys. 342 (2016) 909-963
Infinitesimal supersymmetries over Lie groups and their classification for gl(1,1) and sl(1,1)
M. Kalus

J. Geom. Phys. 94 (2015) 8-18
On Flag Domains in the Supersymmetric Setting
C. Graw
arXiv:1507.04042
PhD Thesis, Ruhr-Universität Bochum
On Time-Reversal Equivariant Hermitian Operator Valued Maps from a 2D-Torus Phase Space
M. Schulte
arXiv:1508.02605
Dissertation, Ruhr-Universität Bochum

2014

Infinite Matrix Product States for long range SU(N) spin models
R. Bondesan, T. Quella
arXiv:1405.2971
Radial operators on Lie supergroups and characters of representations
A. Huckleberry, M. Kalus

J. Lie Theory 24 (2014) 1033-1046
Homotopy theory of topological insulators
R. Kennedy

PhD Thesis, Universität zu Köln (11/2014)

2013

On topological phases of spin chains
K. Duivenvoorden, T. Quella
arXiv:1206.2462
Phys. Rev. B87 (2013) 125145
Topological and symmetry broken phases of Z_N parafermions in one dimension
R. Bondesan, T. Quella
arXiv:1303.5587
J. Stat. Mech. (2013) P10024
From symmetry-protected topological order to Landau order
K. Duivenvoorden, T. Quella
arXiv:1304.7234
Phys. Rev. B88 (2013) 125115
Symmetry protected topological phases of spin chains
K. Duivenvoorden
PhD thesis, Universität zu Köln
Superspace conformal field theory
T. Quella, V. Schomerus
arXiv:1307.7724
J. Phys. A: Math. Theor. 46 (2013) 494010
Symmetry-protected topological phases of spin chains
K. Duivenvoorden

PhD Thesis, Universität zu Köln (09/2013)

2012

A discriminating string order parameter for topological phases of gapped SU(N) spin chains
K. Duivenvoorden, T. Quella
arXiv:1208.0697
Phys. Rev. B 86, 235142 (2012)
Higher spin AdS_3 supergravity and its dual CFT
T. Creutzig, Y. Hikida, P.B. Ronne
arXiv:1111.2139
JHEP 2 (2012) 109

2011

Complex analytic aspects of Lie supergroups
M. Kalus

Dissertation of the Ruhr-Universität Bochum

2010

Almost complex structures on real Lie supergroups
M. Kalus
abstract math.CV/1012.4429
Lie supergroups: An operator viewpoint
M. Kalus
abstract math.RA/1012.4456
Selected results on Lie supergroups and their radial operators
A. Huckleberry and M. Kalus
abstract math-ph/1012.5233
A proof of the continuous Dyson-Maleev representation
J. Mueller-Hill
abstract math-ph/1012.4721
Symmetry classes
M.R. Zirnbauer
abstract math-ph/1001.0722
Oxford Handbook on Random Matrix Theory

2009

Zooming in on local level statistics by supersymmetric extension of free probability
S. Mandt, M.R. Zirnbauer
abstract math-ph/0908.1877
J. Phys. A 43 (2010) 025201

2008

Superbosonization of invariant random matrix ensembles
P. Littelmann, H.-J. Sommers, M.R. Zirnbauer
abstract math-ph/0707.2929
Commun. Math. Phys. 283 (2008) 343-395
Non-hermitian supersymmetric partition functions: the case of one bosonic flavour
K. Splittorff, J.J.M. Verbaarschot, M.R. Zirnbauer
abstract hep-th/0802.2660
Nucl. Phys. B 803 (2008) 381-404

2007

Autocorrelation of ratios of L-functions
B. Conrey, D. W. Farmer, M. R. Zirnbauer
abstract math.NT/0711.0718
Communications in Number Theory and Physics 2 (2008) 593-636
Haar-expectations of ratios of random characteristic polynomials
Huckleberry, A., Püttmann, A. and Zirnbauer, M.
abstract math-ph/0709.1215

2006

2005

2004

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