How Long to Read Fermionic Expressions for Minimal Model Virasoro Characters

How Long Does it Take to Read Fermionic Expressions for Minimal Model Virasoro Characters?

It takes the average reader 2 hours and 40 minutes to read Fermionic Expressions for Minimal Model Virasoro Characters by Trevor Alan Welsh

Assuming a reading speed of 250 words per minute. Learn more

Description

Fermionic expressions for all minimal model Virasoro characters $\chi^{p,p'}_{r,s}$ are stated and proved. Each such expression is a sum of terms of fundamental fermionic form type. In most cases, all these terms are written down using certain trees which are constructed for $s$ and $r$ from the Takahashi lengths and truncated Takahashi lengths associated with the continued fraction of $p'//p$. In the remaining cases, in addition to such terms, the fermionic expression for $\chi^{p,p'}_{r,s}$ contains a different character $\chi^{\hat p, \hat p'}_{\hat r, \hat s}$, and is thus recursive in nature. Bosonic-fermionic $q$-series identities for all characters $\chi^{p,p'}_{r,s}$ result from equating these fermionic expressions with known bosonic expressions. In the cases for which $p=2r$, $p=3r$, $p'=2s$ or $p'=3s$, Rogers-Ramanujan type identities result from equating these fermionic expressions with known product expressions for $\chi^{p,p'}_{r,s}$.The fermionic expressions are proved by first obtaining fermionic expressions for the generating functions $\chi^{p,p'}_{a, b, c}(L)$ of length $L$ Forrester-Baxter paths, using various combinatorial transforms. In the $L\to\infty$ limit, the fermionic expressions for $\chi^{p,p'}_{r,s}$ emerge after mapping between the trees that are constructed for $b$ and $r$ from the Takahashi and truncated Takahashi lengths respectively.

How long is Fermionic Expressions for Minimal Model Virasoro Characters?

Fermionic Expressions for Minimal Model Virasoro Characters by Trevor Alan Welsh is 160 pages long, and a total of 40,000 words.

This makes it 54% the length of the average book. It also has 49% more words than the average book.

How Long Does it Take to Read Fermionic Expressions for Minimal Model Virasoro Characters Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 38 minutes to read Fermionic Expressions for Minimal Model Virasoro Characters aloud.

What Reading Level is Fermionic Expressions for Minimal Model Virasoro Characters?

Fermionic Expressions for Minimal Model Virasoro Characters is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Fermionic Expressions for Minimal Model Virasoro Characters?

Fermionic Expressions for Minimal Model Virasoro Characters by Trevor Alan Welsh is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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