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==References== ===Notes=== {{notelist}} ===Citations=== {{reflist|30em}} ===Bibliography=== {{refbegin|30em}} * {{cite journal|arxiv=0806.1218 |title={{math|''N''{{=}}6}} superconformal Chern-Simons-matter theories, M2-branes and their gravity duals|doi=10.1088/1126-6708/2008/10/091|date=2008|last1=Aharony|first1=Ofer|last2=Bergman|first2=Oren|last3=Jafferis|first3=Daniel Louis|author-link3=Daniel Louis Jafferis|last4=Maldacena|first4=Juan|journal=Journal of High Energy Physics|volume=2008|issue=10|pages=091|bibcode = 2008JHEP...10..091A |s2cid=16987793}} * {{cite journal |last1=Alday |first1=Luis |last2=Gaiotto |first2=Davide |last3=Tachikawa |first3=Yuji |date=2010 |title=Liouville correlation functions from four-dimensional gauge theories |journal=Letters in Mathematical Physics |volume=91 |issue=2 |pages=167β197 |arxiv = 0906.3219 |bibcode = 2010LMaPh..91..167A |doi = 10.1007/s11005-010-0369-5 |s2cid=15459761 }} * {{cite journal |last1=Banks |first1=Tom |last2=Fischler |first2=Willy |last3=Schenker |first3=Stephen |last4=Susskind |first4=Leonard |date=1997 |title=M theory as a matrix model: A conjecture |journal=Physical Review D |volume=55 |issue=8 |pages=5112β5128 |doi=10.1103/physrevd.55.5112 |bibcode=1997PhRvD..55.5112B |arxiv = hep-th/9610043 |s2cid=13073785 }} * {{cite book |last1=Becker |first1=Katrin |last2=Becker |first2=Melanie |author-link2=Melanie Becker|last3=Schwarz |first3=John |title=String theory and M-theory: A modern introduction |date=2007 |publisher=Cambridge University Press |isbn=978-0-521-86069-7}} * {{cite journal |last1=Bergshoeff |first1=Eric |last2=Sezgin |first2=Ergin |last3=Townsend |first3=Paul |date=1987 |title=Supermembranes and eleven-dimensional supergravity |journal=Physics Letters B |volume=189 |issue=1 |pages=75β78 |bibcode=1987PhLB..189...75B |doi=10.1016/0370-2693(87)91272-X |s2cid=123289423 |url=https://pure.rug.nl/ws/files/14453122/1987PhysLettBBergshoeff4.pdf }} * {{cite journal |last1=Candelas |first1=Philip |last2=Horowitz |first2=Gary |last3=Strominger |first3= Andrew |last4=Witten |first4=Edward |date=1985 |title=Vacuum configurations for superstrings |journal=Nuclear Physics B |volume=258 |pages=46β74|bibcode = 1985NuPhB.258...46C |doi=10.1016/0550-3213(85)90602-9 }} * {{cite book |last=Connes |first=Alain |date=1994 |title=Noncommutative Geometry |url=https://archive.org/details/noncommutativege0000conn |url-access=registration |publisher=Academic Press |isbn=978-0-12-185860-5 }} * {{cite journal |last1=Connes |first1=Alain |last2=Douglas |first2=Michael |last3=Schwarz |first3=Albert |date=1998 |title=Noncommutative geometry and matrix theory |journal=Journal of High Energy Physics |volume=19981 |issue=2 |page=003 | doi = 10.1088/1126-6708/1998/02/003 |bibcode=1998JHEP...02..003C |arxiv = hep-th/9711162 |s2cid=7562354 }} * {{cite journal |last1=Cremmer |first1=Eugene |last2=Julia |first2=Bernard |last3=Scherk |first3=JoΓ«l |author-link3=JoΓ«l Scherk |date=1978 |title=Supergravity theory in eleven dimensions |journal=Physics Letters B |volume=76 |issue=4 |pages=409β412 |bibcode = 1978PhLB...76..409C |doi = 10.1016/0370-2693(78)90894-8 }} * {{cite journal |last1=Dimofte |first1=Tudor |last2=Gaiotto |first2=Davide |last3=Gukov |first3=Sergei |date=2010 |title=Gauge theories labelled by three-manifolds |journal=Communications in Mathematical Physics |volume=325 |issue=2 |pages=367β419 |doi=10.1007/s00220-013-1863-2 |bibcode=2014CMaPh.325..367D |url=http://authors.library.caltech.edu/43760/ |arxiv=1108.4389 |s2cid=10882599 |access-date=2017-07-04 |archive-date=2020-09-18 |archive-url=https://web.archive.org/web/20200918121625/https://authors.library.caltech.edu/43760/ |url-status=dead }} * {{cite journal |last=Dine |first=Michael |arxiv=hep-th/0003175 |title=TASI Lectures on M Theory Phenomenology |date=2000 |doi=10.1142/9789812799630_0006 |journal=Strings, Branes and Gravity|pages=545β612 |isbn=978-981-02-4774-4 |s2cid=17851652 }} * {{cite journal |last1=Dirac |first1=Paul |date=1962 |title=An extensible model of the electron |journal=Proceedings of the Royal Society of London |volume=268 |issue=1332 |series=A. 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|bibcode=1987PhLB..191...70D |url=https://cds.cern.ch/record/175621 }} * {{cite journal |last1=Gaiotto |first1=Davide |last2=Moore |first2=Gregory |last3=Neitzke |first3=Andrew |date=2013 |title=Wall-crossing, Hitchin systems, and the WKB approximation |journal=[[Advances in Mathematics]] |volume=234 |pages=239β403 |arxiv = 0907.3987 |doi = 10.1016/j.aim.2012.09.027 |doi-access=free}} * {{cite book |last1=Greene |first1=Brian |title=The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory |date=2000 |publisher=Random House |isbn=978-0-9650888-0-0|title-link=The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory }} * {{cite book |last=Griffiths |first=David |title=Introduction to Quantum Mechanics |date=2004 |publisher=Pearson Prentice Hall |isbn=978-0-13-111892-8 }} * {{cite journal |last1=HoΕava |first1=Petr |last2=Witten |first2=Edward |date=1996a |title=Heterotic and Type I string dynamics from eleven 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|doi=10.1215/S0012-7094-00-10131-7|arxiv=math/9908171 |s2cid=119585149 }} * {{cite journal |last1=Klebanov |first1=Igor |last2=Maldacena |first2=Juan |title=Solving Quantum Field Theories via Curved Spacetimes |journal=[[Physics Today]] |date=2009 |url=http://www.sns.ias.edu/~malda/Published.pdf |page=28 |doi=10.1063/1.3074260 |volume=62 |issue=1 |bibcode=2009PhT....62a..28K |url-status=bot: unknown |archive-url=https://web.archive.org/web/20100610021741/http://www.sns.ias.edu/~malda/Published.pdf |archive-date=2010-06-10 |doi-access=free }} * {{cite journal | last1=Maldacena| first1=Juan | title=The Large {{math|''N''}} limit of superconformal field theories and supergravity | journal=Advances in Theoretical and Mathematical Physics | volume=2 | date=1998 | issue=2 | pages=231β252 | arxiv=hep-th/9711200|bibcode = 1998AdTMP...2..231M | doi=10.4310/ATMP.1998.V2.N2.A1 }} * {{cite journal |title=The Illusion of Gravity |last=Maldacena |first=Juan |date=2005 |journal=Scientific American |url=http://www.sns.ias.edu/~malda/sciam-maldacena-3a.pdf |bibcode=2005SciAm.293e..56M |volume=293 |pages=56β63 |doi=10.1038/scientificamerican1105-56 |issue=5 |pmid=16318027 |url-status=bot: unknown |archive-url=https://web.archive.org/web/20131110061237/http://www.sns.ias.edu/~malda/sciam-maldacena-3a.pdf |archive-date=2013-11-10 }} * {{cite journal| title=Magnetic monopoles as gauge particles?| last1=Montonen| first1=Claus| last2=Olive| first2=David| journal=Physics Letters B| volume=72| issue=1| date=1977| pages=117β120| bibcode=1977PhLB...72..117M| doi=10.1016/0370-2693(77)90076-4| url=https://cds.cern.ch/record/422232}} * {{cite journal | author=Moore, Gregory | title=What is ... a Brane? | journal=Notices of the AMS | date=2005 | url=https://www.ams.org/notices/200502/what-is.pdf | access-date=6 August 2016 | page=214 | volume=52 }} * {{cite web |url=http://www.physics.rutgers.edu/~gmoore/FelixKleinLectureNotes.pdf |title=Lecture Notes for Felix Klein Lectures |last1=Moore |first1=Gregory |date=2012 |access-date=14 August 2013 }} * {{cite journal |last1=Nahm |first1=Walter |date=1978 |title=Supersymmetries and their representations |journal=Nuclear Physics B |volume=135 |issue=1 |pages=149β166 |bibcode=1978NuPhB.135..149N |doi=10.1016/0550-3213(78)90218-3 |url=https://cds.cern.ch/record/132743 }} * {{cite journal |last1=Nekrasov |first1=Nikita |last2=Schwarz |first2=Albert |date=1998 |title=Instantons on noncommutative {{math|'''R'''<sup>4</sup>}} and (2,0) superconformal six dimensional theory |journal=Communications in Mathematical Physics |volume=198 |issue=3 |pages=689β703 |doi=10.1007/s002200050490|bibcode=1998CMaPh.198..689N |arxiv = hep-th/9802068 |s2cid=14125789 }} * {{cite book |last1=Peskin |first1=Michael |last2=Schroeder |first2=Daniel |title=An Introduction to Quantum Field Theory |date=1995 |publisher=Westview Press |isbn=978-0-201-50397-5 |url-access=registration |url=https://archive.org/details/introductiontoqu0000pesk }} * {{cite journal 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theory |journal=International Journal of Modern Physics A |volume=9 |issue=21 |pages=3707β3750 |bibcode=1994IJMPA...9.3707S |doi=10.1142/S0217751X94001497 |arxiv = hep-th/9402002 |s2cid=16706816 }} * {{cite journal |last1=Sen |first1=Ashoke |date=1994b |title=Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and {{math|''SL''(2,'''Z''')}} invariance in string theory |journal=Physics Letters B |volume=329 |issue=2 |pages=217β221 |doi=10.1016/0370-2693(94)90763-3|arxiv = hep-th/9402032 |bibcode = 1994PhLB..329..217S |s2cid=17534677 }} * {{cite journal |last1=Strominger |first1=Andrew |date=1990 |title=Heterotic solitons |journal=Nuclear Physics B |volume=343 |issue=1 |pages=167β184 |bibcode = 1990NuPhB.343..167S |doi = 10.1016/0550-3213(90)90599-9 }} * {{cite journal |last1= van Nieuwenhuizen |first1=Peter |title=Supergravity |journal= Physics Reports |volume=68 |issue=4 |pages=189β398 |doi=10.1016/0370-1573(81)90157-5 |date= 1981|bibcode=1981PhR....68..189V }} * {{cite book |last1=Wald |first1=Robert |title=General Relativity |url=https://archive.org/details/generalrelativit0000wald |url-access=registration |date=1984 |publisher=University of Chicago Press |isbn=978-0-226-87033-5 }} * {{Cite journal |last1=Witten |first1=Edward |title=Quantum Field Theory and the Jones Polynomial |journal=Communications in Mathematical Physics |volume=121 |issue=3 |pages=351β399 |date=1989 |mr=0990772 |bibcode=1989CMaPh.121..351W |doi=10.1007/BF01217730 |s2cid=14951363 }} * {{cite journal |last1=Witten |first1=Edward |date=1995 |title=String theory dynamics in various dimensions |journal=Nuclear Physics B |volume=443 |issue=1 |pages=85β126 |doi=10.1016/0550-3213(95)00158-O|arxiv = hep-th/9503124 |bibcode = 1995NuPhB.443...85W |s2cid=16790997 }} * {{cite arXiv |last=Witten |first=Edward |eprint=0905.2720 |title=Geometric Langlands from six dimensions |class=hep-th |date=2009 }} * {{cite journal |last1=Witten |first1=Edward |date=2012 |title=Fivebranes and knots |journal=Quantum Topology |volume=3 |issue=1 |pages=1β137 |doi=10.4171/QT/26 |arxiv=1101.3216 |s2cid=119248828 }} * {{cite book |last= Woit |first= Peter |title= Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law |publisher= Basic Books |date= 2006 |page= [https://archive.org/details/notevenwrongfail00woit/page/105 105] |isbn= 0-465-09275-6 |url-access= registration |url= https://archive.org/details/notevenwrongfail00woit/page/105 }} * {{Cite book| first1 = Shing-Tung | last1 = Yau | first2 = Steve | last2 = Nadis | date = 2010 | title = The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions | publisher = Basic Books | isbn = 978-0-465-02023-2 }} * {{cite book |last=Zee |first=Anthony |title=Quantum Field Theory in a Nutshell |edition=2nd |date=2010 |publisher=Princeton University Press |isbn=978-0-691-14034-6 |url-access=registration |url=https://archive.org/details/isbn_9780691140346 }} * {{cite book |last1=Zwiebach |first1=Barton |title=A First Course in String Theory |date=2009 |publisher=Cambridge University Press |isbn=978-0-521-88032-9}} {{refend}}
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