What is mathematical physics?

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physics?


papers


links


3D gravity and Chern-Simons


Matrix Model


Anomaly


Supersymmetry


Spinors in physics


D-branes


Topological strings


String compactification


Gauge theory and Supersymmetric gauge theory

Quiver Gauge theory, String Phenomenology And Intersecting Branes

Wall-Crossing

  • Wall-crossing, Hitchin Systems, and the WKB Approximation---GMN, http://arxiv.org/pdf/0907.3987 arXiv:0907.3987 (179 p.)
  • Wall crossing in local Calabi Yau manifolds---Daniel L. Jafferis, Gregory W. Moore, http://arxiv.org/pdf/0810.4909 arXiv:0810.4909 (21 p.)
  • Four-dimensional wall-crossing via three-dimensional field theory---GMN, http://arxiv.org/pdf/0807.4723 arXiv:0807.4723 (62 p.)
  • Split states, entropy enigmas, holes and halos---Denef, Moore, http://arxiv.org/pdf/hep-th/0702146 hep-th/0702146 (149 p.)
  • Supergravity flows and D-brane stability---Denef, http://arxiv.org/pdf/hep-th/0005049 hep-th/0005049 (41 p.)
  • On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications---Denef, http://arxiv.org/pdf/hep-th/0010222 hep-th/0010222 (26 p.)
  • Stability structures, motivic Donaldson-Thomas invariants and cluster transformations---KS, <a title="Abstract" href="http://arxiv.org/abs/0811.2435 arXiv:0811.2435 (148 p.)
  • Motivic Donaldson-Thomas invariants: summary of results---KS, <a title="Abstract" href="http://arxiv.org/abs/0910.4315 arXiv:0910.4315
  • Wall Crossing and M-theory---/spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Aganagic%2C%20Mina%22 Mina Aganagic , /spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Ooguri%2C%20Hirosi%22 Hirosi Ooguri, /spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Vafa%2C%20Cumrun%22 Cumrun Vafa, /spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Yamazaki%2C%20Masahito%22 Masahito Yamazaki, http://arxiv.org/pdf/0908.1194 arXiv:0908.1194


Duality


Black holes


Attractor


AdS/CFT


Integrable system

  • Three Lectures on Classical Integrable Systems and Gauge Field Theories--M.Olshanetsky, http://arxiv.org/abs/0802.3857 hep-th/0802.3857 (36 p.)
  • Introduction to Classical Integrable Systems---O. Babelon, D. Bernard and M. Talon (cambridge monographs on mathematical physics, book)
  • Monopoles, minimal surfaces and algebraic curves---Hitchin, N. (book)
  • Integrable Systems: twistors, loop groups, and Riemann surfaces---Hitchin, Segal, and Ward(book)
  • some lectures/motivation-of-the-bethe.pdf The Bethe Ansatz---Faddeev

CFT

  • Monstrous Moonshine and the Classification of CFT--T. Gannon, http://arxiv.org/abs/math.QA/9906167 math.QA/9906167 (65 p.)
  • Conformal field theory: a case study--Krzysztof Gawedzki, http://arxiv.org/abs/hep-th/9904145 hep-th/9904145
  • Affine Kac-Moody Algebras and the Wess-Zumino-Witten Model--Mark Walton, http://arxiv.org/abs/hep-th/9911187 hep-th/9911187 (68 p.)
  • Lectures on conformal field theory and Kac-Moody algebras--Juergen Fuchs, http://arxiv.org/pdf/hep-th/9702194 hep-th/9702194 (59 p.)
  • Classical and Quantum Conformal Field Theory--G.Moore and N. Seiberg, Commun. Math. Phys. 123, 177-254 (1989)
  • The analytic geometry of two-dimensional conformal field theory--Friedan and Shenker, Nucl. Phys. B 281, 509 (1987)
  • Infinite conformal symmetry in two dimensional quantum field theory--Belavin, Polyakov and Zamolodchikov, NPB 241, 33 (1984)


Mathematical physics


Math

  • http://www.math.columbia.edu/~woit/RepThy/ Peter's lectures on the representation theory
  • some lectures/hyperkahler.pdf A good lecture on hyperkahler geometry
  • some lectures/geometrynotes.pdf Topics in differential geometry
  • some lectures/Majorana.pdf Spinors (math)
  • Peter Gothen, Higgs bundles
  • http://math.ucr.edu/home/baez/joris_van_hoboken_platonic.pdf Platonic solids,Kleinian singularities and ADE
  • some lectures/the topology of fiber bundles by Cohen.pdf The topology of fibre bundles
  • some lectures/survey on elliptic cohomology.pdf Surveys on elliptic cohomology--Jacob Luries
  • some lectures/Borel-Weil-Bott theorem .pdf Borel-Weil-Bott Theorem--Jacob Luries
  • some lectures/coxeter.pdf Coxeter numbers--Hori's lecture
  • some lectures/modular form.pdf Modular forms, Hecke Operators, and Modular Abelian Varieties--K. Ribet and W. Stein
  • <a onmousedown="return clk(this.href,,,'res','5',)" href="some lectures/notes on the index theorom.pdf Notes on the Atiyah-Singer Index Theorem--Liviu I. Nicolaescu
  • http://www.math.sunysb.edu/~jge/zeng/g_h.pdf Griffith & Harris' "Principles of Algebraic Geometry" chinese version

Geometry Conference in honour of Nigel Hitchin

  • http://www.mat.csic.es/webpages/conf/hitchin2006/index.html
  • some lectures/bourguignon--Open problems in Differential Geometry.pdf Open problems in Differential Geometry
  • some lectures/beauville---Open problems in Algebraic Geometry .pdf Open problems in Algebraic Geometry
  • some lectures/figueroa-ofarrill.pdf Open problems in Mathematical Physics
  • some lectures/atiyah--hitchin.pdf Hitchin's contribution