A Vertex Model for Supersymmetric LLT Polynomials
We describe a Yang-Baxter integrable vertex model, which can be realized as a degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler. From this vertex model, we construct a certain class of partition functions that we show are essentially equal to the super ribbon functions of L...
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| creator | Gitlin, Andrew Keating, David |
| description | We describe a Yang-Baxter integrable vertex model, which can be realized as a
degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler.
From this vertex model, we construct a certain class of partition functions
that we show are essentially equal to the super ribbon functions of Lam. Using
the vertex model formalism, we give proofs of many properties of these
polynomials, namely a Cauchy identity and generalizations of known identities
for supersymmetric Schur polynomials. |
| doi_str_mv | 10.48550/arxiv.2110.10273 |
| format | Article |
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degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler.
From this vertex model, we construct a certain class of partition functions
that we show are essentially equal to the super ribbon functions of Lam. Using
the vertex model formalism, we give proofs of many properties of these
polynomials, namely a Cauchy identity and generalizations of known identities
for supersymmetric Schur polynomials.</description><identifier>DOI: 10.48550/arxiv.2110.10273</identifier><language>eng</language><subject>Mathematics - Combinatorics ; Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2021-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2110.10273$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2110.10273$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gitlin, Andrew</creatorcontrib><creatorcontrib>Keating, David</creatorcontrib><title>A Vertex Model for Supersymmetric LLT Polynomials</title><description>We describe a Yang-Baxter integrable vertex model, which can be realized as a
degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler.
From this vertex model, we construct a certain class of partition functions
that we show are essentially equal to the super ribbon functions of Lam. Using
the vertex model formalism, we give proofs of many properties of these
polynomials, namely a Cauchy identity and generalizations of known identities
for supersymmetric Schur polynomials.</description><subject>Mathematics - Combinatorics</subject><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzr1qwzAYhWEtHYLbC8hU3YBT_Useg2magksKNV3NF-kTGOzYyEmJ775O2umFMxweQtacbZTTmr1AurY_G8GXgTNh5YrwLf3GdMYr_RgCdjQOiX5dRkzT3Pd4Tq2nVVXTz6GbT0PfQjc9koe4BJ_-m5F691qX-7w6vL2X2yoHY2UeiwKQRThGYQXXQhnuVATLpVOi8M57Y4JXwTnQgBqd9YEFIzEYx2zwMiPPf7d3czOmtoc0Nzd7c7fLX0ZSPjc</recordid><startdate>20211019</startdate><enddate>20211019</enddate><creator>Gitlin, Andrew</creator><creator>Keating, David</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20211019</creationdate><title>A Vertex Model for Supersymmetric LLT Polynomials</title><author>Gitlin, Andrew ; Keating, David</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-f99ae0fabf27215246184fa7138429c8cc66dc4d88a5ae5e87cd0d63ed6807dc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Combinatorics</topic><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Gitlin, Andrew</creatorcontrib><creatorcontrib>Keating, David</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gitlin, Andrew</au><au>Keating, David</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Vertex Model for Supersymmetric LLT Polynomials</atitle><date>2021-10-19</date><risdate>2021</risdate><abstract>We describe a Yang-Baxter integrable vertex model, which can be realized as a
degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler.
From this vertex model, we construct a certain class of partition functions
that we show are essentially equal to the super ribbon functions of Lam. Using
the vertex model formalism, we give proofs of many properties of these
polynomials, namely a Cauchy identity and generalizations of known identities
for supersymmetric Schur polynomials.</abstract><doi>10.48550/arxiv.2110.10273</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Combinatorics Mathematics - Mathematical Physics Physics - Mathematical Physics |
| title | A Vertex Model for Supersymmetric LLT Polynomials |
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