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Publications & Preprints

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Project D2: Developing a Riemannian/ analytic theory for symmetric supermanifolds

2015

Spherical representations of Lie supergroups
A. Alldridge, S. Schmittner
arXiv:1303.6815
J. Funct. Anal. 268 (2015) 1403-1453

2014

Singular superspaces
A. Alldridge, J. Hilgert, T. Wurzbacher
arXiv:1304.7527
Math.Z. 278 (2014), no. 1-2, 441-492
Superbosonisation via Riesz superdistributions
A. Alldridge, Z. Shaikh
arXiv:1301.6569
Forum of Mathematics, Sigma, vol. 2, 2014, e9 (64 pages)
Superbosonisation, Riesz superdistributions, and highest weight modules (extended version)
A. Alldridge, Z. Shaikh
arXiv:1306.4215
In: M. Gorelik, Papi, P. (eds.), Advances in Lie Superalgebras (Rome, Dec 10-15 2012), Springer INdAM Series, Vol. 7, Springer-Verlag Berlin New York (2014), pp. 1-18
Globalizations of infinitesimal actions on supermanifolds
H. Bergner
arXiv:1309.5744
J. Lie Theory 24, no.3 (2014) 809-847
Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspaces
A. Alldridge, W. Palzer
arXiv:1406.5758
Documenta Math. 19 (2014), 1317-1366

2013

Integration of vector fields on smooth and holomorphic supermanifolds
S. Garnier, T. Wurzbacher
arXiv:1210.1222
Documenta Mathematica 18 (2013), 519-545
Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering
S. Kumar, A. Nock, H.-J. Sommers, T. Guhr, B. Dietz, M. Miski-Oglu, A. Richter, F. Schäfer
arXiv:1304.5284
Physical Review Letters, Volume 111, Issue 3 (2013) Page 030403
Distribution of the Smallest Eigenvalue in the Correlated Wishart Model
T. Wirtz, T. Guhr
arXiv:1306.4790
Phys. Rev. Lett. 111, 094101 (2013)

2012

Supersymmetry approach to Wishart correlation matrices: Exact results
C. Recher, M. Kieburg, T. Guhr, M. R. Zirnbauer
arXiv:1012.1234
Journal of Statistical Physics: Volume 148, Issue 6 (2012), Page 981-998
The geodesic flow on a Riemannian supermanifold
S. Garnier, T. Wurzbacher
arXiv:1107.1815
Journal of Geometry and Physics 62 (2012), 1489-1508

2011

Infinite-dimensional supermanifolds over arbitrary base fields
A. Alldridge and M. Laubinger
abstract math.DG/0910.5430
Forum Mathematicum (2011), in press
Supersymmetry in random matrix theory
T. Guhr
abstract math-ph/1005.0979
invited review, The Oxford Handbook of Random Matrix Theory, G. Akemann, J. Baik and P. Di Francesco (eds.), Oxford University Press, Oxford, 2011
Symmetries of multifractal spectra and field theories of Anderson localization
I. A. Gruzberg, A. W. W. Ludwig, A. D. Mirlin, M. R. Zirnbauer
arXiv:1103.4627
Phys. Rev. Lett. 107 (2011) 086403
Return probability and scaling exponents in the critical random matrix ensemble
V.E. Kravtsov, A. Ossipov, O.M. Yevtushenko
arXiv:1104.3872
J. Phys. A: Math. Theor. 44 (2011) 305003

2010

Supersymmetry approach to Wishart correlation matrices: exact results
C. Recher, M. Kieburg, T. Guhr
abstract math.ST/1012.1234
submitted for publication in Annals of Probability (2010), 32 pp
Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems
S. Kronmueller, O.M. Yevtushenko, E. Cuevas
abstract cond-mat/0910.0382
J. Phys. A: Math. Theor. 43 (2010), 075001
On holomorphic functions on a compact complex homogeneous supermanifold
E.G. Vishnyakova
abstract math.DG/1007.1576
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
M. Disertori, T. Spencer, M.R. Zirnbauer
abstract math-ph/0901.1652
Commun. Math. Phys. 300, 435- 486 (2010)
The Harish-Chandra isomorphism for reductive symmetric superpairs
A. Alldridge
abstract math.RT/1004.0732
Invariant Berezin integration on homogeneous supermanifolds
A. Alldridge and J. Hilgert
abstract math.DG/0911.3251
J. Lie Theory 20, no. 1, 65–91 (2010)
Chevalley’s restriction theorem for reductive symmetric superpairs
A. Alldridge, J. Hilgert, and M.R. Zirnbauer
abstract math.RT/0812.3530
J. Algebra 323, no. 4, 1159–1185 (2010)
Derivation of determinantal structures for random matrix ensembles in a new way
M. Kieburg and T. Guhr
abstract math-ph/0912.0654
J. Phys. A43, 75201–1-31 (2010)
A new approach to derive Pfaffian structures for random matrix ensembles
M. Kieburg and T. Guhr
abstract math-ph/0912.0658
J. Phys. A43, 135204–1-15 (2010)
Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices
G. Akemann, M. Kieburg, and M. Phillips
abstract math-ph/1005.2983
J. Phys. A43, 375207–1-24 (2010)
Eigenvalue Densities of Real and Complex Wishart Correlation Matrices
C. Recher, M. Kieburg, and T. Guhr
abstract math-ph/1006.0812
Phys. Rev. Lett. 105, 244101 (2010)
On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix
M. Kieburg
abstract math-ph/1011.0836

2009

On Complex Lie Supergroups and Homogeneous Split Supermanifolds
E.G. Vishnyakova
abstract cond-mat/0908.1164
to appear in Transformation Groups
Integration of Grassmann variables over invariant functions on flat superspaces
M. Kieburg, H. Kohler, and T. Guhr
abstract math-ph/0809.2674
J. Math. Phys. 50, 013528–1-24 (2009)
Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case
M. Kieburg, J. Grönqvist, and T. Guhr
abstract math-ph/0905.3253
J. Phys. A42, 275205–1-31 (2009)
A comparison of the superbosonization formula and the generalized Hubbard–Stratonovich transformation
M. Kieburg, H.J. Sommers, and T. Guhr
abstract math-ph/0905.3256
J. Phys. A42, 275206–1-23 (2009)

2008

Surprising relations between parametric level correlations and fidelity decay
H. Kohler, I. Smolyarenko, C. Pineda, T. Guhr, F. Leyvraz, and T.H. Seligman
abstract nlin.CD/0712.3370
Phys. Rev. Lett. 100, 190404–1-4 (2008)
Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
K. Splittorff, J.J.M. Verbaarschot, M.R. Zirnbauer
abstract cond-mat/0802.2660
On the Structure of Complex Homogeneous Supermanifolds
E.G.Vishnyakova
abstract cond-mat/0811.2581
A random matrix theory of decoherence
T. Gorin, C. Pineda, H. Kohler, and T.H. Seligman
abstract quant-ph/0807.4913
New Jour. Phys. 10, 115016–1-23 (2008)
Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals
C. Lehner, T. Wettig, T. Guhr, and Y. Wei
abstract math-ph/0801.1226
J. Math. Phys. 49, 063510–1-20 (2008)
Exact diagonalisation of 1-d interacting spinless Fermions
H. Kohler
abstract math-ph/0801.0132
Riemannian Supergeometry
O. Goertsches
arXiv:math/0604143
Math. Zeitschrift 260 (2008) 557-593

2007

Superbosonization of invariant random matrix ensembles
P. Littelmann, H.-J. Sommers, M.R. Zirnbauer
abstract math-ph/0707.2929
Commun. Math. Phys. 283, 343-395 (2008)
Superbosonization formula and its application to random matrix theory
J.E. Bunder, K.B. Efetov, V.E. Kravtsov, O.M. Yevtushenko, and M.R. Zirnbauer
abstract cond-mat/0707.2932
J. Stat. Phys. 129, 809-832 (2007)

2006

The supersymmetry method of random matrix theory
M. R. Zirnbauer
abstract math-ph/0404057
ENCYCLOPEDIA OF MATHEMATICAL PHYSICS, Elsevier (2006

2005

Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N)
J. B. Conrey, D. W. Farmer, M. R. Zirnbauer
abstract math-ph/0511024
Homogeneous Supermanifolds over a Grassmannian
A.L. Onishchik
PDF

2004

Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions
T. Spencer, M.R. Zirnbauer
abstract math-ph/0410032
Commun.Math.Phys. 252 (2004) 167-187
Localization from sigma model geodesics
A. Lamacraft, B.D. Simons, M.R. Zirnbauer
abstract cond-mat/0402588
Phys. Rev. B 70, 075412 (2004)
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