# The ground ring of N=2 minimal string theory

@article{Konechny2005TheGR, title={The ground ring of N=2 minimal string theory}, author={Anatoly Konechny and Andrei Parnachev and David A. Sahakyan}, journal={Nuclear Physics}, year={2005}, volume={729}, pages={419-440} }

Abstract We study the N = 2 string theory or the N = 4 topological string on the deformed CHS background. That is, we consider the N = 2 minimal model coupled to the N = 2 Liouville theory. This model describes holographically the topological sector of little string theory. We use degenerate vectors of the respective N = 2 Verma modules to find the set of BRST cohomologies at ghost number zero—the ground ring, and exhibit its structure. Physical operators at ghost number one constitute a module… Expand

#### 9 Citations

On the connection between N = 2 minimal string and (1,n) bosonic minimal string

- Physics
- 2006

We study the scattering amplitudes in the N = 2 minimal string or equivalently in the N = 4 topological string on ALE spaces. We find an interesting connection between the tree level amplitudes of… Expand

On minimal Script N = 4 topological strings and the (1,k) minimal bosonic string

- Physics
- 2006

In this paper we consider tree-level scattering in the minimal = 4 topological string and show that a large class of N-point functions can be recast in terms of corresponding amplitudes in the (1,k)… Expand

Notes on the S-matrix of bosonic and topological non-critical strings

- Physics
- 2005

We show that the equivalence between the c = 1 non-critical bosonic string and the = 2 topologically twisted coset SL(2)/U(1) at level one can be checked very naturally on the level of tree-level… Expand

Notes on S-matrix of non-critical N = 2 string

- Physics
- 2005

In this paper we discuss the scattering S-matrix of non-critical N = 2 string at tree level. First we consider the ĉ < 1 string defined by combining the N = 2 time-like linear dilaton SCFT with the N… Expand

Minimal AdS(3)

- Physics, Mathematics
- 2005

We show that Type IIB string theory on AdS 3 × S 3 × M 4 with p units of NS flux contains an integrable subsector, isomorphic to the minimal (p, 1) bosonic string. To this end, we construct a… Expand

The Veneziano Limit of N = 2 Superconformal QCD: Towards the String Dual of N = 2 SU(N(c)) SYM with N(f) = 2 N(c)

- Physics
- 2009

We attack the long-standing problem of finding the AdS dual of N = 2 superconformal QCD, the N=2 super Yang Mills theory with gauge group SU(N_c) and N_f = 2 N_c fundamental hyper multiplets. The… Expand

AdS/CFT beyond the $N = 4$ SYM paradigm

- Physics
- 2010

In this thesis we present studies in the AdS/CFT correspondence that intend to push the present knowledge beyond the $N = 4$ super Yang-Mills (SYM) paradigm. The first part is concerned with the… Expand

Notes on Liouville theory at c ≤ 1

- Mathematics, Physics
- 2007

The continuation of the Liouville conformal field theory to c{ (c-1)/24. However, the theories considered here have a continuous spectrum which excludes the degenerate representations appearing in… Expand

Aspects of superconformal field theories

- Physics
- 2011

of the Dissertation Aspects of Superconformal Field Theories

#### References

SHOWING 1-10 OF 40 REFERENCES

N = 4 topological strings

- Physics
- 1995

Abstract We show how to make a topological string theory starting from an N = 4 superconformal theory. The critical dimension for this theory is c = 2 (c = 6) . It is shown that superstrings (in both… Expand

Ground ring of two-dimensional string theory

- Physics
- 1992

Abstract String theories with two-dimensional space-time target spaces are characterized by the existence of a “ground ring” of operators of spin (0, 0). By understanding this ring, one can… Expand

CLOSED N=2 STRINGS: PICTURE-CHANGING, HIDDEN SYMMETRIES AND SDG HIERARCHY

- Physics
- 2000

We study the action of picture-changing and spectral flow operators on a ground ring of ghost number zero operators in the chiral BRST cohomology of the closed N=2 string and describe an infinite set… Expand

Modular bootstrap of boundary N = 2 Liouville theory

- Mathematics, Physics
- 2005

Abstract We present our recent studies on the dynamics of boundary N = 2 Liouville theory. We use the representation theory of N = 2 superconformal algebra and the method of modular bootstrap to… Expand

Path-Integral Quantization of the (2,2) String ∗

- Physics
- 1997

A complete treatment of the (2,2) NSR string in flat (2 + 2)-dimensional space–time is given, from the formal path integral over N = 2 super Riemann surfaces to the computational recipe for… Expand

Little string theory and heterotic/type II duality

- Physics
- 2004

Abstract Little string theory (LST) is a still somewhat mysterious theory that describes the dynamics near a certain class of time-like singularities in string theory. In this paper we discuss the… Expand

D-branes in N=2 Liouville theory and its mirror

- Physics
- 2005

Abstract We study D-branes in the mirror pair N = 2 Liouville/supersymmetric SL ( 2 , R ) / U ( 1 ) coset superconformal field theories. We build D0-, D1- and D2-branes, on the basis of the boundary… Expand

Branes, rings and matrix models in minimal (super)string theory

- Physics
- 2004

We study both bosonic and supersymmetric (p,q) minimal models coupled to Liouville theory using the ground ring and the various branes of the theory. From the FZZT brane partition function, there… Expand

Geometry of N=2 strings

- Physics
- 1991

We study various aspects of N = 2 critical strings. The most important aspect of these theories is that they provide a consistent quantum theory of self-dual gravity in four dimensions. We discuss… Expand

CHARACTER FORMULAE AND THE STRUCTURE OF THE REPRESENTATIONS OF THE N=1, N=2 SUPERCONFORMAL ALGEBRAS

- Physics
- 1988

The unitary representations of the N=1 and N=2 superconformal algebras are analyzed. The embedding structure of all the degenerate representations is studied. Character formulae are derived for the… Expand