Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type
  quiver   Reflection states are introduced in the vertical and horizontal modules of
the Ding-Iohara-Miki (DIM) algebra (quantum toroidal $\mathfrak{gl}_1$). Webs
of DIM representations are in correspondence with $(p,q)$-web diagrams of type
IIB string theory, under the identification of the algebraic intertwiner of
Awata, Feigin and Shiraishi with the refined topological vertex. Extending the
correspondence to the vertical reflection states, it is possible to engineer
the $\mathcal{N}=1$ quiver gauge theory of D-type (with unitary gauge groups).
In this way, the Nekrasov instanton partition function is reproduced from the
evaluation of expectation values of intertwiners. This computation leads to the
identification of the vertical reflection state with the orientifold plane of
string theory. We also provide a translation of this construction in the
Iqbal-Kozcaz-Vafa refined topological vertex formalism.

17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol