Office: CM.G10
Phone: +44 131 451-3966
Fax: +44 131 451-3249
@: C•Saemann@hw•ac•uk

Department of Mathematics
Heriot-Watt University
EH14 4AS

Christian Saemann
Professor in Mathematical Physics


Basic research is like shooting an arrow into the air and, where it lands, painting a target.

Below is a more-or-less up-to-date list of my scientific publications. Alternative sites with lists of my publications:

Quick Links:

Refereed Journal Papers


T. Macrelli, C. Saemann and M. Wolf, Scattering Amplitude Recursion Relations in BV Quantisable Theories, Phys. Rev. D 100 (2019) 045017 [1903.05713 [hep-th]].


A. Deser and C. Saemann, Extended Riemannian Geometry III: Global Double Field Theory with Nilmanifolds, JHEP 05 (2019) 209 [1812.00026 [hep-th]].


B. Jurčo, L. Raspollini, C. Saemann and M. Wolf, $L_\infty$-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism, Fortsch. Phys. 67 (2019) 1900025 [1809.09899 [hep-th]].


C. Saemann and L. Schmidt, Towards an M5-Brane Model I: A 6d Superconformal Field Theory, J. Math. Phys. 59 (2018) 043502 [1712.06623 [hep-th]].


A. Deser, M. A. Heller and C. Saemann, Extended Riemannian Geometry II: Local Heterotic Double Field Theory, JHEP 1804 (2018) 106 [1711.03308 [hep-th]].


C. Saemann and L. Schmidt, The Non-Abelian Self-Dual String and the (2,0)-Theory, Lett. Math. Phys. (2019) [1705.02353 [hep-th]].


C. Saemann and M. Wolf, Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory, JHEP 1707 (2017) 111 [1702.04160 [hep-th]].


A. Deser and C. Saemann, Extended Riemannian Geometry I: Local Double Field Theory, Ann. H. Poincare. 19 (2018) 2297 [1611.02772 [hep-th]].


S. Bunk, C. Saemann and R. J. Szabo, The 2-Hilbert Space of a Prequantum Bundle Gerbe, Rev. Math. Phys. 30 (2018) 1850001 [1608.08455 [math-ph]].


B. Jurčo, C. Saemann and M. Wolf, Higher Groupoid Bundles, Higher Spaces, and Self-Dual Tensor Field Equations, Fortschr. Phys. 64 (2016) 674 [1604.01639 [hep-th]].


G. A. Demessie and C. Saemann, Higher Gauge Theory with String 2-Groups, Adv. Theor. Math. Phys. 21 (2017) 1895 [1602.03441 [math-ph]].


P. Ritter, C. Saemann and L. Schmidt, Generalized Higher Gauge Theory, JHEP 1604 (2016) 032 [1512.07554 [hep-th]].


P. Ritter and C. Saemann, L_\infty-Algebra Models and Higher Chern-Simons Theories, Rev. Math. Phys. 28 (2016) 1650021 [1511.08201 [hep-th]].


S. Rea and C. Saemann, The Phase Diagram of Scalar Field Theory on the Fuzzy Disc, JHEP 1511 (2015) 115 [1507.05978 [hep-th]].


C. Saemann, Bootstrapping Fuzzy Scalar Field Theory, JHEP 1504 (2015) 044 [1412.6255 [hep-th]].


G. A. Demessie and C. Saemann, Higher Poincare Lemma and Integrability, J. Math. Phys. 56 (2015) 082902 [1406.5342 [hep-th]].


B. Jurčo, C. Saemann and M. Wolf, Semistrict Higher Gauge Theory, JHEP 1504 (2015) 087 [1403.7185 [hep-th]].


S. Palmer and C. Saemann, Self-dual String and Higher Instanton Solutions, Phys. Rev. D 89 (2014) 065036 [1312.5644 [hep-th]].


S. Palmer and C. Saemann, The ABJM Model is a Higher Gauge Theory, Int. J. Geom. Meth. Mod. Phys. 11 (2014) 1450075 [1311.1997 [hep-th]].


P. Ritter and C. Saemann, Lie 2-Algebra Models, JHEP 1404 (2014) 066 [1308.4892 [hep-th]].


S. Palmer and C. Saemann, Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory, J. Math. Phys. 54 (2013) 113509 [1308.2622 [hep-th]]; MathSciNet.


C. Saemann and M. Wolf, Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space, Lett. Math. Phys. 104 (2014) 1147 [1305.4870 [hep-th]].


C. Saemann and R. J. Szabo, Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds, Rev. Math. Phys. 25 (2013) 1330005 [1211.0395 [hep-th]]; MathSciNet.


C. Saemann and M. Wolf, Non-Abelian Tensor Multiplet Equations from Twistor Space, Commun. Math. Phys. 328 (2014) 527 [1205.3108 [hep-th]]; MathSciNet.


D. Harland, S. Palmer and C. Saemann, Magnetic Domains, JHEP 1210 (2012) 167 [1204.6685 [hep-th]].


S. Palmer and C. Saemann, M-brane Models from Non-Abelian Gerbes, JHEP 1207 (2012) 010 [1203.5757 [hep-th]].


C. Saemann, R. Wimmer and M. Wolf, A Twistor Description of Six-Dimensional N=(1,1) Super Yang-Mills Theory, JHEP 1205 (2012) 20 [1201.6285 [hep-th]]; MathSciNet.


C. Saemann and M. Wolf, On Twistors and Conformal Field Theories from Six Dimensions, J. Math. Phys. 54 (2013) 013507 [1111.2539 [hep-th]]; MathSciNet.


S. Palmer and C. Saemann, Constructing Generalized Self-Dual Strings, JHEP 1110 (2011) 008 [1105.3904 [hep-th]]; MathSciNet.


C. Papageorgakis and C. Saemann, The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space, JHEP 1105 (2011) 099 [1103.6192 [hep-th]]; MathSciNet.


S. A. Cherkis, C. O'Hara and C. Saemann, Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces, Phys. Rev. D 83 (2011) 126009 [1103.0042 [hep-th]].


M. Ihl, C. Sachse and C. Saemann, Fuzzy Scalar Field Theory as Matrix Quantum Mechanics, JHEP 1103 (2011) 091 [1012.3568 [hep-th]]; MathSciNet.


J. DeBellis, C. Saemann and R. J. Szabo, Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model, JHEP 1104 (2011) 075 [1012.2236 [hep-th]]; MathSciNet.


C. Saemann, Constructing Self-Dual Strings, Commun. Math. Phys. 305 (2011) 513 [1007.3301 [hep-th]]; MathSciNet.


C. Saemann, The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n, SIGMA 6 (2010) 50 [1003.4683 [hep-th]]; MathSciNet.


J. DeBellis, C. Saemann and R. J. Szabo, Quantized Nambu-Poisson Manifolds and n-Lie Algebras, J. Math. Phys. 51 (2010) 122303 [1001.3275 [hep-th]]; MathSciNet.


N. Akerblom, C. Saemann and M. Wolf, Marginal Deformations and 3-Algebra Structures, Nucl. Phys. B 826 (2010) 456 [0906.1705 [hep-th]]; MathSciNet.


S. Cherkis, V. Dotsenko and C. Saemann, On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification, Phys. Rev. D 79 (2009) 086002 [0812.3127 [hep-th]]; MathSciNet.


C. Iuliu-Lazaroiu, D. McNamee and C. Saemann, Generalized Berezin-Toeplitz quantization of Kaehler supermanifolds, JHEP 0905 (2009) 055 [0811.4743 [hep-th]]; MathSciNet.


S. Cherkis and C. Saemann, Multiple M2-branes and Generalized 3-Lie algebras, Phys. Rev. D 78 (2008) 066019 [0807.0808 [hep-th]]; MathSciNet.


C. Iuliu-Lazaroiu, D. McNamee and C. Saemann, Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians, JHEP 0809 (2008) 059 [0804.4555 [hep-th]]; MathSciNet.


D. O'Connor and C. Saemann, Fuzzy Scalar Field Theory as a Multitrace Matrix Model, JHEP 0708 (2007) 066 [0706.2493 [hep-th]]; MathSciNet.


C. Saemann, Fuzzy Toric Geometries, JHEP 0802 (2008) 111 [hep-th/0612173]; MathSciNet.


S. Murray and C. Saemann, Quantization of Flag Manifolds and their Supersymmetric Extensions, Adv. Theor. Math. Phys. 12 (2008) 641 [hep-th/0611328]; MathSciNet.


S. Kurkcuoglu and C. Saemann, Drinfeld Twist and General Relativity with Fuzzy Spaces, Class. Quant. Grav. 24 (2007) 291 [hep-th/0606197]; MathSciNet.


O. Lechtenfeld and C. Saemann, Matrix Models And D-Branes In Twistor String Theory, JHEP 0603 (2006) 002 [hep-th/0511130]; MathSciNet.


C. Saemann, On The Mini-Superambitwistor Space And N=8 Super Yang-Mills Theory, Adv. Math. Phys. 2009 (2009) 784215 [hep-th/0508137]; MathSciNet.


M. Ihl and C. Saemann, Drinfeld-Twisted Supersymmetry And Non-Anticommutative Superspace, JHEP 0601 (2006) 065 [hep-th/0506057]; MathSciNet.


A. D. Popov, C. Saemann and M. Wolf, The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations, JHEP 0510 (2005) 058 [hep-th/0505161]; MathSciNet.


C. Saemann, The Topological B-Model On Fattened Complex Manifolds And Subsectors Of N=4 Self-Dual Yang-Mills Theory, JHEP 0501 (2005) 042 [hep-th/0410292]; MathSciNet.


A. D. Popov and C. Saemann, On Supertwistors, The Penrose-Ward Transform And N=4 Super Yang-Mills Theory, Adv. Theor. Math. Phys. 9 (2005) 931 [hep-th/0405123]; MathSciNet.


C. Saemann and M. Wolf, Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_hbar, JHEP 0403 (2004) 048 [hep-th/0401147]; MathSciNet.



B. Jurco, T. Macrelli, C. Saemann and M. Wolf, Loop Amplitudes and Quantum Homotopy Algebras, 1912.06695 [hep-th].


H. Kim and C. Saemann, Adjusted Parallel Transport for Higher Gauge Theories, 1911.06390 [hep-th].


C. Saemann and L. Schmidt, Towards an M5-Brane Model II: Metric String Structures, 1908.08086 [hep-th].


P. Ritter and C. Saemann, Automorphisms of Strong Homotopy Lie Algebras of Local Observables, 1507.00972 [hep-th].


C. I. Lazaroiu, D. McNamee, C. Saemann and A. Zejak, Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes, 0901.3905 [hep-th].

Review Papers


C. Saemann, M-Brane Models and Loop Spaces, Mod. Phys. Lett. A 27 (2012) 1230019 [1206.0432 [hep-th]].

Conference proceedings


C. Saemann, Higher Structures, Self-Dual Strings and 6d Superconformal Field Theories, in: ``Higher Structures in M-Theory,'' proceedings of the LMS/EPSRC Durham Symposium, 12-18 August 2018 [1903.02888 [hep-th]].


B. Jurčo, T. Macrelli, L. Raspollini, C. Saemann and M. Wolf, $L_\infty$-Algebras, the BV Formalism, and Classical Fields, in: ``Higher Structures in M-Theory,'' proceedings of the LMS/EPSRC Durham Symposium, 12-18 August 2018 [1903.02887 [hep-th]].


B. Jurčo, U. Schreiber, C. Saemann and M. Wolf, Higher Structures in M-Theory, in: ``Higher Structures in M-Theory,'' proceedings of the LMS/EPSRC Durham Symposium, 12-18 August 2018 [1903.02807 [hep-th]].


A. Deser and C. Saemann, Derived Brackets and Symmetries in Generalized Geometry and Double Field Theory, PoS CORFU2017 (2018) 141 [1803.01659 [hep-th]].


C. Saemann, Lectures on Higher Structures in M-Theory, in: ``Noncommutative Geometry and Physics 4'', Proceedings of the ``Workshop on Strings, Membranes and Topological Field Theory,'' Tohoku University, Sendai, March 2015, eds. Y. Maeda, H. Moriyoshi, M. Kotani, S. Watamura, p. 171 [1609.09815 [hep-th]].


C. Saemann and R. J. Szabo, Groupoid Quantization of Loop Spaces, PoS CORFU2011 (2012) 46 [1203.5921 [hep-th]].


C. Saemann and R. J. Szabo, Quantization of 2-Plectic Manifolds, in: ``Progress in Operator Algebras, Noncommutative Geometry, and their Applications'', Conference Proceedings, Bucharest, April 2011, eds. I. Popescu and R. Purcie, p. 135 [1106.1890 [hep-th]].


C. Saemann and R. J. Szabo, Branes, Quantization and Fuzzy Spheres, PoS CNCFG2010 (2010) 005 [1101.5987 [hep-th]].


D. O'Connor and C. Saemann, A Multitrace Matrix Model from Fuzzy Scalar Field Theory, Proc. of the Int. Workshop on Supersymmetries and Quantum Symmetries, Dubna, 30.7.-4.8.2007 [0709.0387 [hep-th]].


C. Saemann, The Mini-Superambitwistor Space, Proc. of the Int. Workshop on Supersymmetries and Quantum Symmetries, Dubna, 27.7.-31.7.2005 [hep-th/0511251].

Book chapters


P. Cartier, C. DeWitt-Morette, M. Ihl and C. Saemann, Supermanifolds - Application to Supersymmetry, in: ``Multiple facets of quantization and supersymmetry: Michael Marinov memorial volume'', Eds. M. Olshanetsky and A. Vainshtein, World Scientific (2002) [math-ph/0202026]; MathSciNet.

PhD Thesis

My PhD thesis with the title "Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory" is concerned with essentially two topics: non-anticommutative field theories and twistor string theory. The (major) part on twistor theory contains a hopefully useful introduction to the basics of this subject. And here are the transparencies of the talk with which I defended my thesis.

Master Thesis

My master thesis is about a new representation for bosonic and fermionic Fock spaces using differential forms on supermanifolds. It contains an introduction to supermathematics and a discussion of the Fermi oscillator and its representation by functions of odd (anticommuting) variables.

Undergraduate studies

As an undergraduate student, I had to do quite some experimental projects, although I always wanted to do high-energy theory later on. But, I have to admit, I had much fun with these projects, and did not regret having to do them at all.

First, there was this project for the production and characterization of nano-silverclusters on HOPG in the group of Prof. Gerber in Würzburg.

The second important project had to do with the MINOS experiment. Together with Matthias Ihl, I measured the effect of a magnetic field on the light yield on certain scintillator material, the results of which are found here.

Other Essays

Inspired by Ernst Peter Fischer's book Das Schöne und das Biest as well as Proofs from THE BOOK by Martin Aigner and Günter M. Ziegler, I spent some time thinking about beauty in mathematics and physics, the results of which can be read here.

Also interesting might be my short notes on spinors, a review on two-dimensional string theory (however, in French) and transparencies on reconstructions of trajectories for double star systems (this one is in German).

For a seminar in mathematics, I wrote a small comment about Eulers Formel und Picks Theorem. Fascinated by the golden section and its relation to many aspects of mathematics, I wrote some short notes.