FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3164667984> ?p ?o ?g. }

• W3164667984 abstract "We study the supersymmetric partition function of a 2d linear $sigma$-model whose target space is a torus with a complex structure that varies along one worldsheet direction and a Kahler modulus that varies along the other. This setup is inspired by the dimensional reduction of a Janus configuration of 4d $mathcal{N}=4$ $U(1)$ Super-Yang-Mills theory compactified on a mapping torus ($T^2$ fibered over $S^1$) times a circle with an $SL(2,mathbb{Z})$ duality wall inserted on $S^1$, but our setup has minimal supersymmetry. The partition function depends on two independent elements of $SL(2,mathbb{Z})$, one describing the duality twist, and the other describing the geometry of the mapping torus. It is topological and can be written as a multivariate quadratic Gauss sum. By calculating the partition function in two different ways, we obtain identities relating different quadratic Gauss sums, generalizing the {it Landsberg-Schaar} relation. These identities are a subset of a collection of identities discovered by F. Deloup. Each identity contains a phase which is an eighth root of unity, and we show how it arises as a Berry phase in the supersymmetric Janus-like configuration. Supersymmetry requires the complex structure to vary along a semicircle in the upper half-plane, as shown by Gaiotto and Witten in a related context, and that semicircle plays an important role in reproducing the correct Berry phase." @default.
• W3164667984 created "2021-06-07" @default.
• W3164667984 creator A5030291951 @default.
• W3164667984 creator A5040588884 @default.
• W3164667984 creator A5082515034 @default.
• W3164667984 date "2021-05-25" @default.
• W3164667984 modified "2023-09-26" @default.
• W3164667984 title "Double-Janus linear sigma models and generalized reciprocity for Gauss sums" @default.
• W3164667984 cites W1553535237 @default.
• W3164667984 cites W1792585759 @default.
• W3164667984 cites W1906166394 @default.
• W3164667984 cites W1913917193 @default.
• W3164667984 cites W1928687705 @default.
• W3164667984 cites W1964001897 @default.
• W3164667984 cites W1969637066 @default.
• W3164667984 cites W1977903582 @default.
• W3164667984 cites W1980039675 @default.
• W3164667984 cites W1982731184 @default.
• W3164667984 cites W1990274428 @default.
• W3164667984 cites W1998614503 @default.
• W3164667984 cites W2000313377 @default.
• W3164667984 cites W2000978108 @default.
• W3164667984 cites W2007185418 @default.
• W3164667984 cites W2010034281 @default.
• W3164667984 cites W2011600774 @default.
• W3164667984 cites W2014470667 @default.
• W3164667984 cites W2020870085 @default.
• W3164667984 cites W2024481576 @default.
• W3164667984 cites W2034471036 @default.
• W3164667984 cites W2035464465 @default.
• W3164667984 cites W2035464912 @default.
• W3164667984 cites W2037242760 @default.
• W3164667984 cites W2040856652 @default.
• W3164667984 cites W2065737793 @default.
• W3164667984 cites W2086201100 @default.
• W3164667984 cites W2089834487 @default.
• W3164667984 cites W2090797621 @default.
• W3164667984 cites W2091164553 @default.
• W3164667984 cites W2095365580 @default.
• W3164667984 cites W2095669769 @default.
• W3164667984 cites W2102245148 @default.
• W3164667984 cites W2108088895 @default.
• W3164667984 cites W2116971777 @default.
• W3164667984 cites W2120340707 @default.
• W3164667984 cites W2145960312 @default.
• W3164667984 cites W2153760289 @default.
• W3164667984 cites W2202605797 @default.
• W3164667984 cites W2282972863 @default.
• W3164667984 cites W2334786120 @default.
• W3164667984 cites W2798172882 @default.
• W3164667984 cites W2800219726 @default.
• W3164667984 cites W2949933547 @default.
• W3164667984 cites W2963624129 @default.
• W3164667984 cites W2980515217 @default.
• W3164667984 cites W2982466011 @default.
• W3164667984 cites W2991165826 @default.
• W3164667984 cites W2998950069 @default.
• W3164667984 cites W3004600674 @default.
• W3164667984 cites W3029032344 @default.
• W3164667984 cites W3037285971 @default.
• W3164667984 cites W3037497910 @default.
• W3164667984 cites W3098117993 @default.
• W3164667984 cites W3098876088 @default.
• W3164667984 cites W3099355691 @default.
• W3164667984 cites W3099391619 @default.
• W3164667984 cites W3100171570 @default.
• W3164667984 cites W3100279479 @default.
• W3164667984 cites W3101080233 @default.
• W3164667984 cites W3101249801 @default.
• W3164667984 cites W3101405931 @default.
• W3164667984 cites W3102865305 @default.
• W3164667984 cites W3103400854 @default.
• W3164667984 cites W3103626770 @default.
• W3164667984 cites W3105444589 @default.
• W3164667984 cites W3105951973 @default.
• W3164667984 cites W3106335729 @default.
• W3164667984 cites W3121909448 @default.
• W3164667984 cites W3135271082 @default.
• W3164667984 cites W4206785796 @default.
• W3164667984 cites W4233185505 @default.
• W3164667984 cites W4251872739 @default.
• W3164667984 cites W4253830677 @default.
• W3164667984 cites W85831057 @default.
• W3164667984 cites W2963658530 @default.
• W3164667984 doi "https://doi.org/10.1007/jhep05(2021)227" @default.
• W3164667984 hasPublicationYear "2021" @default.
• W3164667984 type Work @default.
• W3164667984 sameAs 3164667984 @default.
• W3164667984 citedByCount "2" @default.
• W3164667984 countsByYear W31646679842021 @default.
• W3164667984 crossrefType "journal-article" @default.
• W3164667984 hasAuthorship W3164667984A5030291951 @default.
• W3164667984 hasAuthorship W3164667984A5040588884 @default.
• W3164667984 hasAuthorship W3164667984A5082515034 @default.
• W3164667984 hasBestOaLocation W31646679841 @default.
• W3164667984 hasConcept C114614502 @default.
• W3164667984 hasConcept C116674579 @default.
• W3164667984 hasConcept C121332964 @default.
• W3164667984 hasConcept C124101348 @default.
• W3164667984 hasConcept C139002025 @default.

• next