T H O M A S   C R E U T Z I G   



thomas
Assistant Professor
University of Alberta
Department of Mathematical and Statistical Sciences
Edmonton, AB T6G 2G1

Office location: 573 CAB
Office phone: + 1 780 492 5737
email: lastname at ualberta dot ca




R E S E A R C H

D R A F T S


T. Creutzig and T. Gannon, The Theory of C_2-cofinite VOAs,
pdf


S U B M I T T E D


T. Creutzig, S. Kanade, A. Linshaw and D. Ridout, Schur-Weyl Duality for Heisenberg Cosets, pdf

T. Arakawa, T. Creutzig, K. Kawasetsu and A. Linshaw, Orbifolds and cosets of minimal W-algebras, pdf

T. Creutzig and A. Milas, Higher rank partial and false theta functions and representation theory
, pdf

T. Creutzig, A. Milas and M. Rupert, Logarithmic Link Invariants of U_q^H(sl_2) and Asymptotic Dimensions of Singlet Vertex Algebras
, pdf

T. Creutzig and T. Gannon, Logarithmic conformal field theory, log-modular tensor categories and modular forms
, pdf
 
T. Creutzig, S. Kanade and A. Linshaw, Simple current extensions beyond semi-simplicity
, pdf

T. Arakawa, T. Creutzig and A. Linshaw, Cosets of Bershadsky-Polyakov algebras and rational W-algebras of type A,
pdf

T. Creutzig and A. Linshaw, Cosets of affine vertex algebras inside larger structures, pdf
 


P U B L I S H E D


V. Bouchard, T. Creutzig, D. E. Diaconescu, C. Doran, C. Quigley and A. Sheshmani, Vertical D4-D2-D0 bound states on K3 fibrations and modularity, Commun. Math. Phys.  pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Correspondences between WZNW models and CFTs with W-algebra symmetry,  JHEP 1602 (2016) 048, pdf

T. Creutzig, A. Milas and S. Wood, On Regularised Quantum Dimensions of the Singlet Vertex Operator Algebra and False Theta Functions, Accepted in IMRN, pdf

A. Babichenko and T. Creutzig, Harmonic analysis and free field realization of the takiff supergroup of GL(1|1), SIGMA 11 (2015) 067,
pdf

T. Creutzig and Y. Hikida, Higgs phenomenon for higher spin fields on AdS_3, JHEP 1510 (2015) 164, pdf

T. Creutzig and A. Linshaw, Orbifolds of symplectic fermion algebras, Accepted in Transactions of the AMS, pdf 

T. Creutzig, Y. Hikida and P. B. Ronne, Higher spin AdS_3 holography with extended supersymmetry, JHEP 1410 (2014) 163, pdf

K. Bringmann, T. Creutzig and L. Rolen, Negative Index Jacobi Forms and Quantum Modular Forms, Research in the Mathematical Sciences (2014), 1:11, pdf

T. Creutzig and G. Höhn, Mathieu Moonshine and the Geometry of K3 Surfaces, Commun. Num. Theor. Phys. 8, 2 (2014) 295-328, pdf

H. Afshar, T. Creutzig, D. Grumiller, Y. Hikida and P. B. Ronne, Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry, JHEP 1406 (2014) 063, pdf

T. Creutzig and A. Milas, False Theta Functions and the Verlinde formula, Advances in Mathematics 262 (2014) 520–545, pdf

T. Creutzig, D. Ridout and S. Wood, Coset Constructions of Logarithmic (1,p)-Models, Lett. Math. Phys. 104, 5 (2014) 553-583, pdf

T. Creutzig,  G. Höhn and T. Miezaki, The McKay-Thompson series of Mathieu Moonshine modulo two, The Ramanujan Journal 34, 3 (2014) 319-328, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Extended higher spin holography and Grassmannian models,  JHEP 1311 (2013) 038, pdf

T. Creutzig and D. Ridout, Modular Data and Verlinde Formulae for Fractional Level WZW Models II, Nucl. Phys. B 875 (2013) 423, pdf

T. Creutzig and D. Ridout, Logarithmic Conformal Field Theory: Beyond an Introduction, J. Phys. A 46 (2013), no. 49, 494006, pdf

T. Creutzig and A. Linshaw, The super W_1+infinity algebra with integral central charge, Trans. Amer. Math. Soc. 367 (2015), no. 8, 5521–5551, pdf

T. Creutzig and A. Linshaw, A commutant realization of Odake's-algebra, Transform. Groups 18 (2013), no. 3, 615–637, pdf

T. Creutzig and D. Ridout, Relating the Archetypes of Logarithmic Conformal Field Theory, Nucl. Phys. B 872 (2013) 348, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, N=1 supersymmetric higher spin holography on AdS_3, JHEP 1302 (2013) 019, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Three point functions in higher spin AdS_3 supergravity, JHEP 1301 (2013) 171, pdf

T. Creutzig, P. Gao and A. Linshaw, A commutant realization of W^(2)_n at critical level, Int. Math. Res. Not. IMRN 2014, no. 3, 577–609pdf

C. Alfes and T. Creutzig, The Mock Modular Data of a Family of Superalgebras, Proc. Amer. Math. Soc. 142 (2014), 2265-2280, pdf

T. Creutzig and D. Ridout, Modular Data and Verlinde Formulae for Fractional Level WZW Models I, Nucl. Phys. B 865 (2012) 83, pdf

T. Creutzig, P. Gao and A. Linshaw, Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins, JHEP 1204 (2012) 031, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Higher spin AdS_3 supergravity and its dual CFT, JHEP 1202 (2012) 109, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Supergroup - extended super Liouville correspondence, JHEP 1106 (2011) 063, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, The FZZ duality with boundary, JHEP 1109 (2011) 004, pdf

T. Creutzig, Yangian Superalgebras in Conformal Field Theory. Nucl. Phys. B849 (2011) 636-653, pdf

T. Creutzig, J. Corn and L. Dolan, Yangian in the Twistor String, JHEP 1010 (2010) 076, pdf

T. Creutzig and P. B. Ronne, From world-sheet supersymmetry to super target spaces, JHEP 1011 (2010) 021, pdf

T. Creutzig and Y. Hikida, Branes in the OSP(1|2) WZNW model, Nucl.Phys. B842 (2011), pdf

T. Creutzig, C. Candu, V. Mitev and V. Schomerus, Cohomological Reduction of Sigma Models, JHEP 1005 (2010) 047, pdf

T. Creutzig, P. B. Ronne and V. Schomerus, N=2 Superconformal Symmetry in Super Coset Models, Phys. Rev. D80 (2009) 066010, pdf

T. Creutzig and P. B. Ronne, The GL(1|1)-symplectic fermion correspondence, Nucl. Phys. B815 (2009) 95-124, pdf

T. Creutzig, Geometry of branes on supergroups. Nucl. Phys. B812 (2009) 301-321, pdf

T. Creutzig and V. Schomerus, Boundary Correlators in Supergroup WZNW Models, Nucl. Phys. B807 (2009) 471-494, pdf

T. Creutzig, A. Klauer and N. R. Scheithauer, Natural constructions of some generalized Kac-Moody algebras as bosonic strings, Commun. Num. Theor. Phys. 1 (2007) 453-477, pdf

T. Creutzig, T. Quella and V. Schomerus, Boundary Spectra in Superspace Sigma-Models, JHEP 0810 (2008) 024, pdf

T. Creutzig, T. Quella and V. Schomerus, Branes in the GL(1|1) WZNW-Model, Nucl. Phys. B792 (2008) 257-283, pdf

T. Creutzig, T. Quella and V. Schomerus, New boundary conditions for the c=-2 ghost system, Phys. Rev. D77 (2008) 026003, pdf



P R O C E E D I N G S

T. Creutzig, Quantum Dimensions in Logarithmic CFT, Oberwolfach report No. 16 (2015) 52--54, pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Higher spin AdS3 holography and superstring theory,  pdf

T. Creutzig and D. Ridout, W-algebras extending affine gl(1|1), Springer Proc. Math. Stat. 36 (2013), pdf

T. Creutzig, Y. Hikida and P. B. Ronne, Higher Spin AdS_3 Supergravity and its CFT dual, Int. J. Mod. Phys. Conf. Ser. 21 (2013) 163-164, pdf


T H E S E S


T. Creutzig, Branes in supergroups, Doktorarbeit, pdf

T. Creutzig, Natural constructions of some generalized Kac-Moody algebras as bosonic strings, Diplomarbeit, pdf