Prof. Dr. Albrecht Klemm 



Academic Career  


Awards  


Offers  


Invited Lectures  


Editorships  
• Zeitschrift für Naturforschung A  
Research Projects and Activities  
DFG Project KL2271/11: “Exakte Methoden in Eich und StringTheorien”
Bethe Center for Theoretical Physics Member DFG Cluster of Excellence “Hausdorff Center for Mathematics” Principal Investigator 

Research Profile  
Super String Theory is a mayor attempt to unify gauge theories with quantum gravity. Compactifications of string theory on varieties with special holonomy including calibrated submanifolds leads to quantum theories in various dimensions. Mathematical well defined subsectors of these theories are the topological string and field theories. Their correlators determine topological invariants of the geometric setting. Often are different physical formulations with different manifest symmetries and duality symmetries among them available. Based on these we extended the methods to calculate the correlators exactly, such as mirror symmetry, the string/gauge theory correspondence, the modular and the integrable system approach. In particular using the string/gauge theory correspondence we provided with the topological vertex and the topological recursions two major tools, which are widely in use. We used mirror symmetry and the modular approach to obtain high genus amplitudes on compact CalabiYau spaces and showed that the all genus topological string amplitudes on elliptically fibred CalabiYau spaces can be expressed in terms of meromorphic Jacobi forms.  
Recent and planned postgraduate teaching  
SS 2011 Quantum Field Theory I
WS 2011 Quantum Field Theory II 

Habilitations  
Ralph Blumenhagen (2002), now Permanent Staff Member, Max Planck Institute for Physics, Munich  
Selected PhD students  
Babak Haghighat (2009): “On Topological String Theory with CalabiYau Backgrounds”,
now Postdoc, Harvard University, MA, USA Denis Klevers (2011): “Holomorphic Couplings In NonPerturbative String Compactifications”, now Fellow, CERN, Theoretical Physics Department, Switzerland Jie Gu (2014): “Braiding knots with topological Strings”, now Postdoc, LPTHE ENS Paris, France 



Selected Publications  
[1] A. Klemm, D. Maulik, R. Pandharipande, E. Scheidegger NoetherLefschetz theory and the YauZaslow conjecture J. Amer. Math. Soc. , 23: (4): 10131040 2010 DOI: 10.1090/S089403472010006728 [2] Mina Aganagic, Albrecht Klemm, Marcos MariÃ±o, Cumrun Vafa The topological vertex Comm. Math. Phys. , 254: (2): 425478 2005 DOI: 10.1007/s002200041162z [3] Vincent Bouchard, Albrecht Klemm, Marcos MariÃ±o, Sara Pasquetti Topological open strings on orbifolds Comm. Math. Phys. , 296: (3): 589623 2010 DOI: 10.1007/s0022001010200 [4] M.x. Huang, A. Klemm, S. Quackenbush Topological string theory on compact CalabiYau: modularity and boundary conditions Homological mirror symmetry of Lecture Notes in Phys. : 45102 Publisher: Springer, Berlin 2009 [5] Jie Gu, Hans Jockers, Albrecht Klemm, Masoud Soroush Knot invariants from topological recursion on augmentation varieties Comm. Math. Phys. , 336: (2): 9871051 2015 DOI: 10.1007/s002200142238z [6] Minxin Huang, Sheldon Katz, Albrecht Klemm Topological string on elliptic CY 3folds and the ring of Jacobi forms J. High Energy Phys. (10): 125, front matter+78 2015 DOI: 10.1007/JHEP10(2015)125 [7] Jie Gu, Albrecht Klemm, Marcos MariÃ±o, Jonas Reuter Exact solutions to quantum spectral curves by topological string theory J. High Energy Phys. (10): 025, front matter+68 2015 DOI: 10.1007/JHEP10(2015)025 [8] Kentaro Hori, Sheldon Katz, Albrecht Klemm, Rahul Pandharipande, Richard Thomas, Cumrun Vafa, Ravi Vakil, Eric Zaslow Mirror symmetry With a preface by Vafa of Clay Mathematics Monographs : xx+929 Publisher: American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA 2003 ISBN: 0821829556 [9] S. Katz, A. Klemm, R. Pandharipande On the motivic stable pairs invariants of K3 surfaces K3 surfaces and their moduli With an appendix by R. P. Thomas of Progr. Math. : 111146 Publisher: BirkhÃ¤user/Springer, [Cham] 2016 DOI: 10.1007/9783319299594_6 [10] Babak Haghighat, Albrecht Klemm, Guglielmo Lockhart, Cumrun Vafa
Strings of minimal 6d SCFTs Fortschr. Phys. , 63: (5): 294322 2015 DOI: 10.1002/prop.201500014 

Publication List 