Talk:Mirror symmetry (string theory)

message: When I typed in "mirror symmetry", this article popped up instead of Reflection symmetry. I propose renaming this article to something like Mirror symmetry (string theory) or Mirror symmetry (manifolds), so that Mirror symmetry can be a redirect to the more elementary topic in Reflection symmetry. A dab link could be added at the top of that article. Alternatively, Mirror symmetry could be made into a dab page. --Jtir (talk) 12:01, 15 August 2008 (UTC)
replies: text: There were three articles related to mirror symmetry, so I made Mirror symmetry a dab page.--Jtir (talk) 18:45, 17 August 2008 (UTC)
thread_title:  proposed renaming 

message: Would it be possible to have an illustration showing a Calabi-Yau and its mirror dual? This could be hugely beneficial for giving readers an understanding of what this is about. I guess the simplest thing would be showing a torus and its mirror dual torus side by side, but maybe it is possible to something more elaborate for higher dimensional CY.TR 16:49, 9 April 2014 (UTC)
replies: text: I would also love to see a picture of dual Calabi-Yau manifolds, but unfortunately I don't have the computer skills to make such a picture myself. The best way to picture a pair of mirror tori would be to draw their fundamental domains, but that's not very exciting. Polytope24 (talk) 23:53, 9 April 2014 (UTC)
replies: text: I'm also not totally sure how this would work in higher dimensions. To make a picture of a Calabi-Yau manifold, you have to choose a particular slice. I'm not sure if there's a natural way of doing this for both the manifold and its mirror… Polytope24 (talk) 00:50, 10 April 2014 (UTC)
thread_title:  Illustration of Calabi-Yau and its Mirror Dual? 

message: The article cited as by Candelas et al. (1991) is not at Nuclear Physics B 342 (1): 21–74. The Bibcode refers to an article of the cited title but by Walcher in a different journal, and the DOI to a completely different article by Walcher.
Camboxer (talk) 15:17, 9 May 2014 (UTC)
replies: text: The article that the citation refers to is this one. Polytope24 (talk) 15:34, 9 May 2014 (UTC)
replies: text: Should be fixed now. Polytope24 (talk) 15:57, 9 May 2014 (UTC)
thread_title:  Reference fails validation 

message: The article says, "In mathematics and theoretical physics, mirror symmetry is a relationship between two geometric objects called Calabi–Yau manifolds." I'm not sure a simple "In mathematics" is the best way to start, since in "most" mathematics, from the perspective of an intelligent layman (i.e., lower-level mathematics), the phrase "mirror symmetry" would have the everyday interpretation of being symmetric about an axis (or plane). Perhaps "In advanced mathematics and theoretical physics" might be better? Or, more specifically, "In algebraic geometry and theoretical physics"? - dcljr (talk) 17:52, 9 May 2014 (UTC)
replies: text: I've gone ahead and made the change ("In algebraic geometry and theoretical physics"). - dcljr (talk) 21:31, 12 May 2014 (UTC)
thread_title:  In mathematics 

message: I do not have expertise in this topic. But I believe this sentence:
From a mathematical point of view, the version of mirror symmetry described above is still only a conjecture, but there is another version of mirror symmetry in the context of topological string theory, a simplified version of string theory introduced by Edward Witten (ref: Witten 1990) which has been rigorously proven by mathematicians. (ref: Givental 1996, 1998; Lian, Liu, Yau 1997, 1999, 2000)
is in error. At the least, I cannot verify it by looking at the two papers of Givental or the three by Lian-Liu-Yau, since they do not even cite Witten's paper. The text by itself (ignoring the given refs) seems to suggest the Witten conjecture in Gromov-Witten theory, which to my understanding is completely distinct from the mirror formulas proved by Givental and Lian-Liu-Yau, which did not originate with Witten. Can someone clarify? Gumshoe2 (talk) 09:49, 8 March 2022 (UTC)
replies: text: I don't think the 1990 paper by Witten is related to string theory (just to counting some curves using two different models of 2d quantum gravity). The papers of Lian-Liu-Yau appear to prove a "mirror conjecture" although it is a bit much to claim that this is "another version of mirror symmetry" since it seems to just be a theorem relating enumerative invariant counts for certain simple classes of Calabi-Yaus. It would be more precise to say "Some early predictions of physical mirror symmetry in the context of topological string theory have been proven, including relating certain counts of enumerative invariants described from algebraic and symplectic perspectives". Mirror symmetry is too vast a subject to make a dangerous statement like some theorems relating GW counts from the 1990s constitute a "different version" rather than a very special case. Tazerenix (talk) 11:02, 8 March 2022 (UTC)
thread_title:  Error?