What is mathematical physics?

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imported>Pythagoras0님의 2013년 12월 9일 (월) 08:06 판
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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---Fadeev


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)
  • http://www.fc.up.pt/cmup/pbgothen/Higgs_Bundles_CIEM_200802.pdf">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