Preprints:
Non-perturbative topological strings from resurgence Murad Alim arXiv:2406.17852
Special geometry, quasi-modularity and attractor flow for BPS structures
Murad Alim, Florian Beck, Anna Biggs Daniel Bryan
arXiv:2308.16854
Weblinks to Publications:
Peer reviewed Articles:
Quantum curves, resurgence and exact WKB
Murad Alim, Lotte Holland, Ivan Tulli
arXiv:2203.08249
Mathematical structures of non-perturbative topological string theory: from GW to DT invariants
Murad Alim, Arpan Saha, Joerg Teschner, Ivan Tulli
arXiv:2109.06878
A Hyperkähler geometry associated to the BPS structure of the resolved conifold
Murad Alim, Arpan Saha, Ivan Tulli
arXiv:2106.11976
The Weak Gravity Conjecture and BPS Particles
Murad Alim, Ben Heidenreich, Tom Rudelius
arXiv:2108.08309 Fortschritte der Physik, Volume69, Issue11-12, December 2021
Integrable hierarchy for the resolved conifold
Murad Alim, Arpan Saha
arXiv:2101.11672 accepted at Bulletin of the London Mathematical Society
Difference equation for the Gromov-Witten potential of the resolved conifold
Murad Alim
arXiv:2011.12759
The algebra of derivations of quasi-modular forms from mirror symmetry
Murad Alim, Vadym Kurylenko, Martin Vogrin
arXiv:2008.06523, accepted at Pure and Applied Mathematics Quarterly
Parabolic Higgs bundles, tt* connections and opers
Murad Alim, Florian Beck, Laura Fredrickson
arXiv:1911.06652, accepted at The Asian Journal of Mathematics
Gauss-Manin Lie algebra of mirror elliptic K3 surfaces
Murad Alim, Martin Vogrin
arXiv:1812.03185, Mathematical Research Letters, volume 28 (2021), number 3
Airy Equation for the Topological String Partition Function in a Scaling Limit
Murad Alim, Shing-Tung Yau, Jie Zhou
arXiv:1506.01375 Letters in Mathematical Physics, June 2016, Volume 106, Issue 6, pp 719-729
Algebraic structure of tt* equations for Calabi-Yau sigma models
Murad Alim
arXiv:1412.3454, Communications in Mathematical Physics, August 2017, Volume 353, Issue 3, pp 963-1003
Gauss-Manin connection in disguise: Calabi-Yau threefolds
Murad Alim, Hossein Movasati, Emanuel Scheidegger, Shing-Tung Yau
arXiv:1410.1889 Communications in Mathematical Physics, June 2016, Volume 344, Issue 3, pp 889-914
Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings.
Murad Alim, Emanuel Scheidegger, Shing-Tung Yau, Jie Zhou
arXiv:1306.0002, Advances in Theoretical and Mathematical Physics, Vol 18.2 (2014)
Topological Strings on Elliptic Fibrations.
Murad Alim, Emanuel Scheidegger
arXiv:1205.1784. Communications in Number Theory and Physics, Vol 8.4. (2014)
N=2 Quantum Field Theories and Their BPS Quivers.
Murad Alim, Sergio Cecotti, Clay Cordova, Sam Espahbodi, Ashwin Rastogi, Cumrun Vafa
arXiv:1112.3984. Advances in Theoretical and Mathematical Physics, Vol 18.1 (2014)
Flat Connections in Open String Mirror Symmetry.
Murad Alim, Michael Hecht, Hans Jockers, Peter Mayr, Adrian Mertens, Masoud Soroush
arXiv:1110.6522. JHEP 1206 (2012) 138.
BPS Quivers and Spectra of Complete N=2 Quantum Field Theories.
Murad Alim, Sergio Cecotti, Clay Cordova, Sam Espahbodi, Ashwin Rastogi, Cumrun Vafa
arXiv:1109.4941. Communications in Mathematical Physics, November 2013, Volume 323, Issue 3, pp 1185-1227.
Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes.
Murad Alim, Babak Haghighat, Michael Hecht, Albrecht Klemm, Marco Rauch, Thomas Wotschke
arXiv:1012.1608 Communications in Mathematical Physics, November 2015, Volume 339, Issue 3, pp 773-814
Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry.
Murad Alim, Michael Hecht, Hans Jockers, Peter Mayr, Adrian Mertens, Masoud Soroush
arXiv:1010.0977. JHEP 1106 (2011) 103.
Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications.
Murad Alim, Michael Hecht, Hans Jockers, Peter Mayr, Adrian Mertens, Masoud Soroush
arXiv:0909.1842. Nucl.Phys. B841 (2010) 303-338.
Mirror Symmetry for Toric Branes on Compact Hypersurfaces.
Murad Alim, Michael Hecht, Peter Mayr, Adrian Mertens
arXiv:0901.2937. JHEP 0909 (2009) 126.
Global Properties of Topological String Amplitudes and Orbifold Invariants.
Murad Alim, Jean Dominique Länge, Peter Mayr
arXiv:809.4253. JHEP 1003 (2010) 113.
Polynomial Structure of the (Open) Topological String Partition Function.
Murad Alim, Jean Dominique Länge
arXiv:0708.2886. JHEP 0710 (2007) 045.
Conference Proceedings:
Polynomial Rings and Topological Strings.
Murad Alim, contribution to the proceedings of String Math 2013 conference.
arXiv:1401.5537. Proceedings and Symposia in Pure Mathematics of AMS, Volume 88, 2014
Geometric hints of non-perturbative topological strings,
Oberwolfach Reports, Volume 13, Issue 1, 2016
Lecture Notes:
Lectures on Mirror Symmetry and Topological String Theory.
Murad Alim
arXiv:1207.0496, Surveys of Modern Mathematics, Volume 6, Open Problems and Surveys of Contemporary Mathematics.
Theses:
Mirror Symmetry, Toric Branes and Topological String Amplitudes as Polynomials.
PhD Thesis, Ludwig-Maximilians-Universität München (2009in ).
Soft Supersymmetry Breaking Terms in Flux Compactifications.
Diploma Thesis, Ludwig-Maximilians-Universität München (2006).
Collaborators:
Adrian Mertens
Hossein Movasati
Ashwin Rastogi
Marco Rauch
Arpan Saha
Emanuel Scheidegger
Masoud Soroush
Cumrun Vafa
Martin Vogrin
Thomas Wotschke
Shing-Tung Yau
Jie Zhou