Spectrum of closed strings - hope u enjoy it! Physical implications coming tomorrow. Stay tuned! :)pic.twitter.com/p1WBLSOFPF
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You mean Kaluza-Klein? The principles (high-level) with mass/energy spectrum (as vibrations) from higher dimensions are the same. The difference are the number of dimensions (26 bosonic strings and 5 KK) and strings (d=1) instead of particles (d=0), and so is the mass spectrum;)
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There are tons of materials about CY (I am NOT andexpert). But take a look at a nice one: https://member.ipmu.jp/yuji.tachikawa/transp/detR-slides-utap.pdf … And more recent TASI lectures (2018) on the subject: https://arxiv.org/abs/1804.08792 An older paper (2004): http://theory.uchicago.edu/~sethi/Teaching/P484-W2004/calabi-yau.pdf … This all besides the KK/fibre bundles.
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Regarding KK theories I know that e.g.: Y.M. Cho (Nat. Univ. Seoul) is/was an expert.
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KK is straightforward but superstrings with 6 additional (with zillions of CY compactifications) and bosonic strings with 22 additional dimensions (with tachyonic instabilities, so we do need SUSY) are far more complex as KK with one additional often circular (S^1) dimensiom;-)
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Back in my office (doing another job;-)): But am quite sure you know this. Btw KK (=bosonic theory) in most elementary form are D=5 but can in general be formulated in D=4+n (n=1,2,3,....), like D=6,... etc. KK dimensions can be compact and small but also non-compact and large.
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