Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Mirror symmetry (string theory)
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== {{refbegin|30em}} * {{cite book |editor1-first=Paul |editor1-last=Aspinwall |editor2-first=Tom |editor2-last=Bridgeland |editor3-first=Alastair |editor3-last=Craw |editor4-first=Michael |editor4-last=Douglas |editor5-first=Mark |editor5-last=Gross |editor6-first=Anton |editor6-last=Kapustin |editor7-first=Gregory |editor7-last=Moore |editor8-first=Graeme |editor8-last=Segal |editor9-first=Balázs |editor9-last=Szendröi |editor10-first=P.M.H. |editor10-last=Wilson |title=Dirichlet Branes and Mirror Symmetry |year=2009 |publisher=American Mathematical Society |series=[[Clay Mathematics Monographs]] |volume=4 |isbn=978-0-8218-3848-8 |ref={{harvid|Aspinwall et al.|2009}}}} * {{cite journal |last1=Candelas |first1=Philip |last2=de la Ossa |first2=Xenia |last3=Green |first3=Paul |last4=Parkes |first4=Linda |year=1991 |title=A pair of Calabi–Yau manifolds as an exactly soluble superconformal field theory |journal=Nuclear Physics B |volume=359 |issue=1 |pages=21–74 |doi=10.1016/0550-3213(91)90292-6 |bibcode=1991NuPhB.359...21C}} * {{cite journal |last1=Candelas |first1=Philip |last2=Horowitz |first2=Gary |last3=Strominger |first3= Andrew |last4=Witten |first4=Edward |year=1985 |title=Vacuum configurations for superstrings |journal=Nuclear Physics B |volume=258 |pages=46–74 |doi=10.1016/0550-3213(85)90602-9 |bibcode=1985NuPhB.258...46C}} * {{cite journal |last1=Candelas |first1=Philip |last2=Lynker |first2=Monika |last3=Schimmrigk |first3=Rolf |year=1990 |title=Calabi–Yau manifolds in weighted <math>\mathbb{P}_4</math> |journal=Nuclear Physics B |volume=341 |issue=1 |pages=383–402 |doi=10.1016/0550-3213(90)90185-G |bibcode=1990NuPhB.341..383C}} * {{cite journal |last1=Dixon |first1=Lance |year=1988 |title=Some world-sheet properties of superstring compactifications, on orbifolds and otherwise |journal=ICTP Ser. Theoret. Phys. |volume=4 |pages=67–126 |isbn=978-9971-5-0452-6}} * {{cite journal |last1=Givental |first1=Alexander |year=1996 |title=Equivariant Gromov-Witten invariants |journal=International Mathematics Research Notices |volume=1996 |issue=13 |pages=613–663 |s2cid=554844 |doi=10.1155/S1073792896000414 |doi-access=free}} * {{cite journal |last1=Givental |first1=Alexander |year=1998 |title=A mirror theorem for toric complete intersections |journal=Topological Field Theory, Primitive Forms and Related Topics |pages=141–175 |doi=10.1007/978-1-4612-0705-4_5|isbn=978-1-4612-6874-1 |arxiv=alg-geom/9701016 |bibcode=1998tftp.conf..141G |s2cid=2884104 }} * {{cite book |last1=Greene |first1=Brian |title=[[The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory]]|year=2000 |publisher=Random House |isbn=978-0-9650888-0-0}} * {{cite journal |last1=Greene |first1=Brian |last2=Plesser |first2=Ronen |year=1990 |title=Duality in Calabi–Yau moduli space |journal=Nuclear Physics B |volume=338 |issue=1 |pages=15–37|bibcode=1990NuPhB.338...15G |doi=10.1016/0550-3213(90)90622-K }} * {{cite book|editor1-first=Kentaro |editor1-last=Hori |editor2-first=Sheldon |editor2-last=Katz |editor3-first=Albrecht |editor3-last=Klemm |editor4-first=Rahul |editor4-last=Pandharipande |editor5-first=Richard |editor5-last=Thomas |editor6-first=Cumrun |editor6-last=Vafa |editor7-first=Ravi |editor7-last=Vakil |editor8-first=Eric |editor8-last=Zaslow |title=Mirror Symmetry |year=2003 |series=[[Clay Mathematics Monographs]] |volume=1 |publisher=American Mathematical Society |url=http://math.stanford.edu/~vakil/files/mirrorfinal.pdf |isbn=0-8218-2955-6 |url-status=dead |archive-url=https://web.archive.org/web/20060919020706/http://math.stanford.edu/~vakil/files/mirrorfinal.pdf |archive-date=2006-09-19|ref={{harvid|Hori et al.|2003}}}} * {{cite arXiv |last1=Hori |first1=Kentaro |last2=Vafa |first2=Cumrun |eprint=hep-th/0002222 |title=Mirror Symmetry |year=2000}} * {{cite journal |last1=Intriligator |first1=Kenneth |last2=Seiberg |first2=Nathan |title=Mirror symmetry in three-dimensional gauge theories |journal=Physics Letters B |year=1996 |volume=387 |issue=3 |pages=513–519 |doi=10.1016/0370-2693(96)01088-X |arxiv = hep-th/9607207 |s2cid=13985843 |bibcode=1996PhLB..387..513I}} * {{cite journal |last1=Kikkawa |first1=Keiji |last2=Yamasaki |first2=Masami |year=1984 |title=Casimir effects in superstring theories |journal=Physics Letters B |volume=149 |issue=4 |pages=357–360 |doi=10.1016/0370-2693(84)90423-4 |bibcode=1984PhLB..149..357K}} * {{Citation |last=Kontsevich |first=Maxim |date=1995a |publisher=Birkhäuser |doi=10.1007/978-1-4612-4264-2_12|contribution=Enumeration of Rational Curves Via Torus Actions |title=The Moduli Space of Curves |isbn=978-1-4612-8714-8 |page=335 |arxiv=hep-th/9405035 |s2cid=16131978 }} * {{cite book |last1=Kontsevich |first1=Maxim |title=Proceedings of the International Congress of Mathematicians |chapter=Homological Algebra of Mirror Symmetry |date=1995b |pages=120–139|doi=10.1007/978-3-0348-9078-6_11 |bibcode=1994alg.geom.11018K |arxiv=alg-geom/9411018 |isbn=978-3-0348-9897-3 |s2cid=16733945 }} * {{cite journal |last1=Lerche |first1=Wolfgang |last2=Vafa |first2=Cumrun |last3=Warner |first3=Nicholas |year=1989 |title=Chiral rings in <math>\mathcal{N} = 2</math> superconformal theories |journal=Nuclear Physics B |volume=324 |issue=2 |pages=427–474 |doi=10.1016/0550-3213(89)90474-4 |s2cid=120175708 |url=https://dash.harvard.edu/bitstream/1/41385047/1/69772%201989%20Chiral%20Rings.pdf |bibcode=1989NuPhB.324..427L}} * {{cite journal |last1=Lian |first1=Bong |last2=Liu |first2=Kefeng |last3=Yau |first3=Shing-Tung |year=1997 |title=Mirror principle, I |journal=Asian Journal of Mathematics |volume=1 |issue=4 |pages=729–763|bibcode=1997alg.geom.12011L |arxiv=alg-geom/9712011 |doi=10.4310/ajm.1997.v1.n4.a5|s2cid=8035522 }} * {{cite journal |last1=Lian |first1=Bong |last2=Liu |first2=Kefeng |last3=Yau |first3=Shing-Tung |year=1999a |title=Mirror principle, II |journal=Asian Journal of Mathematics |volume=3 |pages=109–146 |arxiv=math/9905006 |doi=10.4310/ajm.1999.v3.n1.a6 |s2cid=17837291 |bibcode=1999math......5006L}} * {{cite journal |last1=Lian |first1=Bong |last2=Liu |first2=Kefeng |last3=Yau |first3=Shing-Tung |year=1999b |title=Mirror principle, III |journal=Asian Journal of Mathematics |volume=3 |issue=4 |pages=771–800 |arxiv=math/9912038 |doi=10.4310/ajm.1999.v3.n4.a4 |bibcode=1999math.....12038L}} * {{cite journal |last1=Lian |first1=Bong |last2=Liu |first2=Kefeng |last3=Yau |first3=Shing-Tung |year=2000 |title=Mirror principle, IV |journal=Surveys in Differential Geometry |pages=475–496 |volume=7 |arxiv=math/0007104 |doi=10.4310/sdg.2002.v7.n1.a15 |s2cid=1099024 |bibcode=2000math......7104L}} * {{cite book |last1=Mac Lane |first1=Saunders |title=Categories for the Working Mathematician |year=1998 |publisher=Springer |isbn=978-0-387-98403-2}} * {{cite journal| last=Moore|first=Gregory | title=What is ... a Brane?| journal=Notices of the AMS| year=2005 | url=https://www.ams.org/notices/200502/what-is.pdf | access-date=6 August 2016 |page=214| volume=52}} * {{cite journal |last1=Sakai |first1=Norisuke |last2=Senda |first2=Ikuo |year=1986 |title=Vacuum energies of string compactified on torus |journal=Progress of Theoretical Physics |volume=75 |issue=3 |pages=692–705 |doi=10.1143/PTP.75.692 |doi-access=free |bibcode=1986PThPh..75..692S}} * {{cite journal |last1=Strominger |first1=Andrew |last2=Yau |first2=Shing-Tung |last3=Zaslow |first3=Eric |year=1996 |title=Mirror symmetry is T-duality |journal=Nuclear Physics B |volume=479 |issue=1 |pages=243–259 |arxiv=hep-th/9606040 |doi=10.1016/0550-3213(96)00434-8 |s2cid=14586676 |bibcode=1996NuPhB.479..243S}} * {{cite journal |last1=Vafa |first1=Cumrun |year=1992 |title=Topological mirrors and quantum rings |journal=Essays on Mirror Manifolds |pages=96–119 |bibcode=1991hep.th...11017V |isbn=978-962-7670-01-8 |arxiv=hep-th/9111017 }} * {{cite book |last1=Wald |first1=Robert |title=General Relativity |year=1984 |publisher=University of Chicago Press |isbn=978-0-226-87033-5 }} * {{cite journal |last1=Witten |first1=Edward |year=1990 |title=On the structure of the topological phase of two-dimensional gravity |journal=Nuclear Physics B |volume=340 |issue=2–3 |pages=281–332|bibcode = 1990NuPhB.340..281W |doi = 10.1016/0550-3213(90)90449-N }} * {{cite journal |last1=Witten |first1=Edward |year=1992 |title=Mirror manifolds and topological field theory |journal=Essays on Mirror Manifolds |pages=121–160 |isbn=978-962-7670-01-8}} * {{Cite book| first1=Shing-Tung| last1=Yau| first2=Steve| last2=Nadis| year=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| last1=Zaslow | first1=Eric | contribution=Mirror Symmetry | year=2008 | title=[[The Princeton Companion to Mathematics]] | publisher=Princeton University Press | editor-last=Gowers | editor-first=Timothy | isbn=978-0-691-11880-2 }} * {{cite book |last1=Zwiebach |first1=Barton |title=A First Course in String Theory |year=2009 |publisher=Cambridge University Press |isbn=978-0-521-88032-9}} {{refend}}
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)