Universität Bonn

Junior Trimester Program: "Mathematical Physics"


September 3 - December 21, 2012

Description: The Junior Hausdorff Trimester Program gave young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research in Mathematical Physics.

The main focus was on the following research topics:

Conformal Field Theory and Moonshine (Group A)
Local gauge invariance in AQFT (Group B)
Geometry of Gauged Vortices (Group C)
BPS states (Group D)

Associated Events: 

  • Trimester Seminar
  • Vortex Seminar
  • AQFT Seminar, Minicourses
  • Workshop: Algebraic Quantum Field Theory and Local Symmetries
  • Workshop: Algebra, Geometry and Physics of BPS States
  • Workshop: Geometry of the Vortex Equations
  • Felix-Klein-Lecture: Applications of the six-dimensional (2,0) theories to Physical Mathematics

Publications

No. Author(s) Title Preprint Publication
2012c01 Tanimoto, Y. Construction of wedge-local QFT through Longo-Witten endomorphisms 1209.1370 XVIIth International Congress on Mathematical Physics. (2013), 465–473.
https://doi.org/10.1142/9789814449243_0044
2012c02 Lechner, G.; Schlemmer, J.; Tanimoto, Y. On the equivalence of two deformation schemes in quantum field theory 1209.2547 Lett. Math. Phys. 103(4) (2013), 421–437.
https://doi.org/10.1007/s11005-012-0599-9
2012c03 Dybalski, W.; Møller, J. S. The translation invariant massive Nelson model: III. Asymptotic completeness below the two-Boson threshold 1210.6645 Ann. Henri Poincaré. 16(11) (2015), 2603–2693.
https://doi.org/10.1007/s00023-014-0384-7
2012c04 Dybalski, W.; Gérard, C. Towards asymptotic completeness of two-particle scattering in local relativistic QFT 1211.3393 Comm. Math. Phys. 326(1) (2014), 81–109.
https://doi.org/10.1007/s00220-013-1831-x
2012c05 Creutzig, T.; Höhn, G.; Miezaki, T. The McKay-Thompson series of Mathieu moonshine modulo two 1211.3703 Ramanujan J. 34(3) (2014), 319–328.
https://doi.org/10.1007/s11139-013-9553-4
2012c06 Bonetti, F.; Grimm, T. W.; Hohenegger, S. Non-abelian tensor towers and (2,0) superconformal theories 1209.3017 J. High Energy Phys. 2013(129) (2013).
https://doi.org/10.1007/JHEP05(2013)129
2012c07 Filippini, S. A.; Stoppa, J. Block-Göttsche invariants from wall-crossing 1212.4976 Compos. Math. 151(8) (2015), 1543–1567.
https://doi.org/10.1112/S0010437X14007994
2012c08 Carqueville, N.; Runkel, I. Orbifold completion of defect bicategories 1210.6363 Quantum Topol. 7(2) (2016), 203–279.
https://doi.org/10.4171/QT/76
2012c09 Tanimoto, Y. Construction of two-dimensional quantum field models through Longo-Witten endomorphisms 1301.6090 Forum Math. Sigma. 2(e7) (2014).
https://doi.org/10.1017/fms.2014.3
2012c10 Filippini, S. A.; Stoppa, J. TBA type equations and tropical curves 1306.3852 Internat. J. Math. 27(7) (2016).
https://doi.org/10.1142/S0129167X1640005X
2012c11 Creutzig, T.; Höhn, G. Mathieu moonshine and the geometry of K3 surfaces 1309.2671 Commun. Number Theory Phys .8(2) (2014), 295–328.
https://doi.org/10.4310/CNTP.2014.v8.n2.a3
2012c12 Brunner, I.; Carqueville, N.; Plencner, D. Orbifolds and topological defects 1307.3141 Comm. Math. Phys. 332(2) (2014), 669–712.
https://doi.org/10.1007/s00220-014-2056-3
2012c13 Dybalski, W.; Pizzo, A. Coulomb scattering in the massless Nelson model I. Foundations of two-electron scattering 1302.5001 J. Stat. Phys. 154(1-2) (2014), 543–587.
https://doi.org/10.1007/s10955-013-0857-y
2012c14 Dybalski, W.; Pizzo, A. Coulomb scattering in the massless Nelson model II. Regularity of ground states 1302.5012  Reviews in Mathematical Physics. 31(3) (2019).
https://doi.org/10.1142/S0129055X19500107
2012c15 Chuang, W-y.; Diaconescu, D-E.; Manschot, J.; Moore, G. W.; Soibelman, Y. Geometric engineering of (framed) BPS states 1301.3065 Adv. Theor. Math. Phys. 18(5) (2014), 1063–1231.
https://dx.doi.org/10.4310/ATMP.2014.v18.n5.a3
2012c16 Haghighat, B.; Manschot, J.; Vandoren, S. A 5d/2d/4d correspondence 1211.0513 J. High Energy Phys. 2013(157) (2013).
https://doi.org/10.1007/JHEP03(2013)157
2012c17 Manton, N. S. Vortex solutions of the Popov equations 1211.4352 J. Phys. A. 46(14) (2013).
https://doi.org/10.1088/1751-8113/46/14/145402
2012c18 Dorigoni, D.; Dunajski, M.; Manton, N. S. Vortex motion on surfaces of small curvature 1308.3088 Ann. Physics 339 (2013), 570–587.
https://doi.org/10.1016/j.aop.2013.10.002
2012c19 Baptista, J. M. Vortices as degenerate metrics 1212.3561 Lett. Math. Phys. 104(6) (2014), 731–747.
https://doi.org/10.1007/s11005-014-0683-4
2012c20 Creutzig, T.; Ridout, D. Modular data and Verlinde formulae for fractional level WZW models I 1306.4388 Nuclear Phys. B 865(1) (2012), 83–114.
https://doi.org/10.1016/j.nuclphysb.2012.07.018
2012c21 Creutzig, T.; Ridout, D.; Wood, S. Coset constructions of logarithmic (1,p)-models 1305.2665 Lett. Math. Phys. 104(5) (2014), 553–583.
https://doi.org/10.1007/s11005-014-0680-7
2012c22 Creutzig, T.; Ridout, D. Logarithmic conformal field theory: beyond an introduction 1303.0847 J. Phys. A. 46(49) (2013).
https://doi.org/10.1088/1751-8113/46/49/494006
2012c23 Rejzner, K. Remarks on local symmetry invariance in perturbative algebraic quantum field theory 1301.7037 Ann. Henri Poincaré. 16(1) (2015), 205–238.
https://doi.org/10.1007/s00023-014-0312-x
2012c24 Zahn, J. Locally covariant charged fields and background independence 1311.7661 Rev. Math. Phys. 27(7) (2015).
https://doi.org/10.1142/S0129055X15500178
2012c25 Hollands, L.; Neitzke, A. Spectral networks and Fenchel-Nielsen coordinates 1312.2979 Lett. Math. Phys. 106(6) (2016), 811–877.
https://doi.org/10.1007/s11005-016-0842-x
2012c26 Bischoff, M.; Tanimoto, Y. Integrable QFT and Longo-Witten endomorphisms 1305.2171 Ann. Henri Poincaré. 16(2) (2015), 569–608.
https://doi.org/10.1007/s00023-014-0337-1
2012c27 Filippini, S. A.; Garcia-Fernandez, M.; Stoppa, J. Stability data, irregular connections and tropical curves 1403.7404 Selecta Math. (N.S.) 23(2) (2017), 1355–1418.
https://doi.org/10.1007/s00029-016-0299-x
2012c28 Höhn, G.; Mason, G. Finite groups of symplectic automorphisms of hyperkähler manifolds of type K3[2] 1409.6055 Bull. Inst. Math. Acad. Sin. (N.S.) 14(2) (2019), 189–264.
https://doi.org/10.21915/bimas.2019204
2012c29 Speight, J. M. Solitons on tori and soliton crystals 1307.3063 Comm. Math. Phys. 332(1) (2014), 355–377.
https://doi.org/10.1007/s00220-014-2104-z
2012c30 Álvarez-Cónsul, L.; Garcia-Fernandez, M.; García-Prada, O. Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations 1510.03810 Comm. Math. Phys. 351(1) (2017), 361–385.
https://doi.org/10.1007/s00220-016-2728-2
2012c31 Bökstedt, M.; Romão, N. M. Pairs of pants, Pochhammer curves and L2-invariants 1410.2429  
2012c32 Eriksson, D.; Romão, N. M. Kähler quantization of vortex moduli 1612.08505  Lett Math Phys. 110 (2020), 659–693.
https://doi.org/10.1007/s11005-019-01235-2
2012c33 González, E.; Iritani, H. Seidel elements and potential functions of holomorphic disc counting 1301.5454 Selecta Math. (N.S.) 18(3) (2012), 557–590.
https://doi.org/10.1007/s00029-011-0080-0
2012c34 Szymik, M. The stable homotopy theory of vortices on Riemann surfaces 1310.7737  
2012c35 Venugopalan, S.; Woodward, C. T. Classification of affine vortices 1301.7052 Duke Math. J. 165(9) (2016), 1695–1751.
https://doi.org/10.1215/00127094-3450315
2012c36 Antoniadis, I.; Florakis, I. G.; Hohenegger, S.; Narain, K. S.; Zein Assi, A. Worldsheet realization of the refined topological string 1302.6993 Nuclear Phys. B. 875(1) (2013), 101–133.
https://doi.org/10.1016/j.nuclphysb.2013.07.004
2012c37 Tanimoto, Y. Massless Wigner particles in conformal field theory are free 1310.4744 Forum Math. Sigma. 2(e21) (2014).
https://doi.org/10.1017/fms.2014.16
2012c38 Dybalski, W.; Pizzo, A. Coulomb scattering in the massless Nelson model III. Ground state wave functions and non-commutative recurrence relations 1704.02924 Ann. Henri Poincaré. 19(2) (2018), 463–514.
https://doi.org/10.1007/s00023-017-0642-6

Participants

Name Affiliation
Marcel Bischoff Universität Göttingen
Daniela Cadamuro Universität Göttingen
Nils Carqueville LMU München
Miranda C. N. Cheng Université Paris 7 - Denis Diderot
Thomas Creutzig TU Darmstadt
Ben (Nicholas) Davison College Franco Britannique
Tudor Dan Dimofte University of Princeton
Wojciech Dybalski TU München
Dennis Eriksson Max-Planck Institute
Sara Angela Filippini Università degli Studi dell'Insubria
Mario Garcia-Fernandez Aarhus University
Eduardo Gonzalez University of Massachussetts UMASS
Amihay Hanany Imperial College
Stefan Hohenegger Max-Planck-Institut für Physik
Lotte Hollands Caltech
Gerald Höhn Kansas State University
Bumsig Kim Korea Institute for Advanced Study KIAS
Alessia Mandini Universidade Técnica de Lisboa
Jan Manschot Max-Planck-Institut für Mathematik
Nicholas Stephen Manton University of Cambridge
Sven Meinhardt Universität Bonn
Ignasi Mundet i Riera Universitat de Barcelona
Jacob Schach Møller University of Aarhus
Timothy Nguyen State University of New York
Simon Norton Cambridge University
Jeongseok Oh KAIST
Joao M. Oliveira Baptista Instituto Superior Técnico
Andreas Ott Max-Planck-Institut für Mathematik
Timothy Perutz The University of Texas at Austin
Alessandro Pizzo University of California at Davis
Daniel Plencner LMU Munich
Katarzyna Anna Rejzner Universität Hamburg
David Ridout The Australian National University
Nuno Miguel Romão Max-Planck-Institut für Mathematik
Giuseppe Ruzzi Università di Roma "Tor Vergata"
Markus Röser WWU Münster
Nils Scheithauer TU Darmstadt
Jan Schlemmer Universität Wien
Martin Speight University of Leeds
Jacopo Stoppa Dipartimento di Matematica "F. Casorati"
Thomas Sutherland University of Sheffield
András Szenes Université de Genève
Markus Szymik NTNU Norwegian University of Science and Technology
Yoh Tanimoto Universität Göttingen
Elise Tenni SISSA-ISAS
Sushmita Venugopalan Tata Institute of Fundamental Research TIFR
Christian Wegner Universität Bonn
Thorsten Weist Bergische Universität Wuppertal
Simon J. Wood The University of Tokyo
Christopher Woodward Rutgers University
Michal Wrochna University of Göttingen
Jochen Zahn University of Vienna
Fabian Ziltener Korea Institute for Advanced Study (KIAS)
Poster TP_2012_09.jpg
© HIM

Wird geladen