FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3101472942> ?p ?o ?g. }

• W3101472942 endingPage "103" @default.
• W3101472942 startingPage "35" @default.
• W3101472942 abstract "We develop in this paper the principles of an associative algebraic approach to bulk logarithmic conformal field theories (LCFTs). We concentrate on the closed $gl(1|1)$ spin-chain and its continuum limit - the $c=-2$ symplectic fermions theory - and rely on two technical companion papers, Continuum limit and symmetries of the periodic gl(1|1) spin chain [Nucl. Phys. B 871 (2013) 245-288] and Bimodule structure in the periodic gl(1|1) spin chain [Nucl. Phys. B 871 (2013) 289-329]. Our main result is that the algebra of local Hamiltonians, the Jones-Temperley-Lieb algebra JTL_N, goes over in the continuum limit to a bigger algebra than the product of the left and right Virasoro algebras. This algebra, S - which we call interchiral, mixes the left and right moving sectors, and is generated, in the symplectic fermions case, by the additional field $S(z,bar{z})=S_{ab}psi^a(z)bar{psi}^b(bar{z})$, with a symmetric form $S_{ab}$ and conformal weights (1,1). We discuss in details how the Hilbert space of the LCFT decomposes onto representations of this algebra, and how this decomposition is related with properties of the finite spin-chain. We show that there is a complete correspondence between algebraic properties of finite periodic spin chains and the continuum limit. An important technical aspect of our analysis involves the fundamental new observation that the action of JTL_N in the $gl(1|1)$ spin chain is in fact isomorphic to an enveloping algebra of a certain Lie algebra, itself a non semi-simple version of $sp(N-2)$. The semi-simple part of JTL_N is represented by $Usp(N-2)$, providing a beautiful example of a classical Howe duality, for which we have a non semi-simple version in the full JTL image represented in the spin-chain. On the continuum side, simple modules over the interchiral algebra S are identified with fundamental representations of $sp(infty)$." @default.
• W3101472942 created "2020-11-23" @default.
• W3101472942 creator A5027386297 @default.
• W3101472942 creator A5079911420 @default.
• W3101472942 creator A5089808487 @default.
• W3101472942 date "2015-11-05" @default.
• W3101472942 modified "2023-10-06" @default.
• W3101472942 title "Associative Algebraic Approach to Logarithmic CFT in the Bulk: The Continuum Limit of the $${mathfrak{gl}(1|1)}$$ gl ( 1 | 1 ) Periodic Spin Chain, Howe Duality and the Interchiral Algebra" @default.
• W3101472942 cites W1502291261 @default.
• W3101472942 cites W1537486353 @default.
• W3101472942 cites W1591211570 @default.
• W3101472942 cites W1621478737 @default.
• W3101472942 cites W1673812652 @default.
• W3101472942 cites W1965252739 @default.
• W3101472942 cites W1966951651 @default.
• W3101472942 cites W1969148706 @default.
• W3101472942 cites W1969356271 @default.
• W3101472942 cites W1986017208 @default.
• W3101472942 cites W2007212649 @default.
• W3101472942 cites W2007573590 @default.
• W3101472942 cites W2010301196 @default.
• W3101472942 cites W2023953089 @default.
• W3101472942 cites W2045954626 @default.
• W3101472942 cites W2046960450 @default.
• W3101472942 cites W2060547366 @default.
• W3101472942 cites W2061774912 @default.
• W3101472942 cites W2069174333 @default.
• W3101472942 cites W2069638618 @default.
• W3101472942 cites W2079096409 @default.
• W3101472942 cites W2080763836 @default.
• W3101472942 cites W2081844875 @default.
• W3101472942 cites W2083251253 @default.
• W3101472942 cites W2125958293 @default.
• W3101472942 cites W2130543301 @default.
• W3101472942 cites W2136255594 @default.
• W3101472942 cites W2164964640 @default.
• W3101472942 cites W2327900148 @default.
• W3101472942 cites W2914218292 @default.
• W3101472942 cites W3037410074 @default.
• W3101472942 cites W3098138960 @default.
• W3101472942 cites W3098288083 @default.
• W3101472942 cites W3098719199 @default.
• W3101472942 cites W3098732625 @default.
• W3101472942 cites W3098975357 @default.
• W3101472942 cites W3100985653 @default.
• W3101472942 cites W3102077547 @default.
• W3101472942 cites W3103024763 @default.
• W3101472942 cites W3105787402 @default.
• W3101472942 cites W3106531344 @default.
• W3101472942 cites W4255408198 @default.
• W3101472942 cites W4297699243 @default.
• W3101472942 doi "https://doi.org/10.1007/s00220-015-2483-9" @default.
• W3101472942 hasPublicationYear "2015" @default.
• W3101472942 type Work @default.
• W3101472942 sameAs 3101472942 @default.
• W3101472942 citedByCount "13" @default.
• W3101472942 countsByYear W31014729422017 @default.
• W3101472942 countsByYear W31014729422018 @default.
• W3101472942 countsByYear W31014729422019 @default.
• W3101472942 countsByYear W31014729422020 @default.
• W3101472942 countsByYear W31014729422021 @default.
• W3101472942 countsByYear W31014729422022 @default.
• W3101472942 countsByYear W31014729422023 @default.
• W3101472942 crossrefType "journal-article" @default.
• W3101472942 hasAuthorship W3101472942A5027386297 @default.
• W3101472942 hasAuthorship W3101472942A5079911420 @default.
• W3101472942 hasAuthorship W3101472942A5089808487 @default.
• W3101472942 hasBestOaLocation W31014729424 @default.
• W3101472942 hasConcept C121332964 @default.
• W3101472942 hasConcept C134306372 @default.
• W3101472942 hasConcept C168619227 @default.
• W3101472942 hasConcept C202444582 @default.
• W3101472942 hasConcept C2778023678 @default.
• W3101472942 hasConcept C33923547 @default.
• W3101472942 hasConcept C37914503 @default.
• W3101472942 hasConcept C54613284 @default.
• W3101472942 hasConcept C98214594 @default.
• W3101472942 hasConceptScore W3101472942C121332964 @default.
• W3101472942 hasConceptScore W3101472942C134306372 @default.
• W3101472942 hasConceptScore W3101472942C168619227 @default.
• W3101472942 hasConceptScore W3101472942C202444582 @default.
• W3101472942 hasConceptScore W3101472942C2778023678 @default.
• W3101472942 hasConceptScore W3101472942C33923547 @default.
• W3101472942 hasConceptScore W3101472942C37914503 @default.
• W3101472942 hasConceptScore W3101472942C54613284 @default.
• W3101472942 hasConceptScore W3101472942C98214594 @default.
• W3101472942 hasIssue "1" @default.
• W3101472942 hasLocation W31014729421 @default.
• W3101472942 hasLocation W31014729422 @default.
• W3101472942 hasLocation W31014729423 @default.
• W3101472942 hasLocation W31014729424 @default.
• W3101472942 hasLocation W31014729425 @default.
• W3101472942 hasOpenAccess W3101472942 @default.
• W3101472942 hasPrimaryLocation W31014729421 @default.
• W3101472942 hasRelatedWork W139275344 @default.
• W3101472942 hasRelatedWork W1971223889 @default.
• W3101472942 hasRelatedWork W2027826725 @default.
• W3101472942 hasRelatedWork W2747077871 @default.

• next