Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320496656> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4320496656 endingPage "1889" @default.
- W4320496656 startingPage "1873" @default.
- W4320496656 abstract "Abstract Let <?CDATA $rgeqslant 2$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll><mml:mrow><mml:mi>r</mml:mi><mml:mo>⩾</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> be an integer. The generalized Brezin–Gross–Witten (BGW) tau-function for the Gelfand–Dickey hierarchy of <?CDATA $(r-1)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:mi>r</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> dependent variables (aka the r -reduced Kadomtsev–Petviashvili hierarchy) is defined as a particular tau-function that depends on <?CDATA $(r-1)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:mi>r</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> constant parameters <?CDATA $d_1,dots,d_{r-1}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll><mml:msub><mml:mi>d</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> . In this paper we show that this tau-function satisfies a family of linear equations, called the W -constraints of the second kind. The operators giving rise to the linear equations also depend on <?CDATA $(r-1)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:mi>r</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> constant parameters. We show that there is a one-to-one correspondence between the two sets of parameters." @default.
- W4320496656 created "2023-02-14" @default.
- W4320496656 creator A5065859563 @default.
- W4320496656 creator A5085871793 @default.
- W4320496656 date "2023-02-13" @default.
- W4320496656 modified "2023-09-30" @default.
- W4320496656 title "Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints" @default.
- W4320496656 cites W1605231306 @default.
- W4320496656 cites W1972563066 @default.
- W4320496656 cites W2009090027 @default.
- W4320496656 cites W2012404522 @default.
- W4320496656 cites W2013750735 @default.
- W4320496656 cites W2023729123 @default.
- W4320496656 cites W2030456769 @default.
- W4320496656 cites W2050650616 @default.
- W4320496656 cites W2068917264 @default.
- W4320496656 cites W2074767688 @default.
- W4320496656 cites W2136276873 @default.
- W4320496656 cites W2145023644 @default.
- W4320496656 cites W2179428325 @default.
- W4320496656 cites W2783748814 @default.
- W4320496656 cites W2962928628 @default.
- W4320496656 cites W2962952611 @default.
- W4320496656 cites W2963823845 @default.
- W4320496656 cites W2964020539 @default.
- W4320496656 cites W2964273978 @default.
- W4320496656 cites W2993683061 @default.
- W4320496656 cites W3100503104 @default.
- W4320496656 cites W3101959651 @default.
- W4320496656 cites W3121802394 @default.
- W4320496656 cites W3125109160 @default.
- W4320496656 cites W3131960906 @default.
- W4320496656 cites W3155306032 @default.
- W4320496656 cites W3202352863 @default.
- W4320496656 doi "https://doi.org/10.1088/1361-6544/acb62c" @default.
- W4320496656 hasPublicationYear "2023" @default.
- W4320496656 type Work @default.
- W4320496656 citedByCount "0" @default.
- W4320496656 crossrefType "journal-article" @default.
- W4320496656 hasAuthorship W4320496656A5065859563 @default.
- W4320496656 hasAuthorship W4320496656A5085871793 @default.
- W4320496656 hasBestOaLocation W43204966562 @default.
- W4320496656 hasConcept C11413529 @default.
- W4320496656 hasConcept C154945302 @default.
- W4320496656 hasConcept C33923547 @default.
- W4320496656 hasConcept C41008148 @default.
- W4320496656 hasConceptScore W4320496656C11413529 @default.
- W4320496656 hasConceptScore W4320496656C154945302 @default.
- W4320496656 hasConceptScore W4320496656C33923547 @default.
- W4320496656 hasConceptScore W4320496656C41008148 @default.
- W4320496656 hasFunder F4320321001 @default.
- W4320496656 hasIssue "3" @default.
- W4320496656 hasLocation W43204966561 @default.
- W4320496656 hasLocation W43204966562 @default.
- W4320496656 hasOpenAccess W4320496656 @default.
- W4320496656 hasPrimaryLocation W43204966561 @default.
- W4320496656 hasRelatedWork W2003465964 @default.
- W4320496656 hasRelatedWork W2052122378 @default.
- W4320496656 hasRelatedWork W2073681303 @default.
- W4320496656 hasRelatedWork W2317200988 @default.
- W4320496656 hasRelatedWork W2544423928 @default.
- W4320496656 hasRelatedWork W2779362453 @default.
- W4320496656 hasRelatedWork W2947381795 @default.
- W4320496656 hasRelatedWork W2181413294 @default.
- W4320496656 hasRelatedWork W2181743346 @default.
- W4320496656 hasRelatedWork W2187401768 @default.
- W4320496656 hasVolume "36" @default.
- W4320496656 isParatext "false" @default.
- W4320496656 isRetracted "false" @default.
- W4320496656 workType "article" @default.