Kavli Affiliate: Emil J. Martinec
| First 5 Authors: Andrea Dei, Emil J. Martinec, , ,
| Summary:
We formulate a worldsheet description of string theory in the background of a
single decoupled NS5-brane, which is a particularly simple example of “little
string” holography. The worldsheet theory involves a gauged Wess-Zumino-Witten
model for the group coset $mathcal{G}/mathcal{H}$, where $mathcal{G} =
{PSU(1,1|2)} times mathbb R^{5,1}$ and $mathcal{H}=U(1) times U(1)$. A
variant of the embedding of $mathcal{H}$ into $mathcal{G}$ describes a
background that interpolates between the fivebrane throat in the UV and $AdS_3$
in the IR, which is dual to the (single trace) $Tbar T$-deformed symmetric
product orbifold $(mathbb T^4)^N/S_N$. Well-known difficulties with a
worldsheet theory for $n_5=1$ fivebranes are bypassed by the incorporation of
an extra constraint on the dynamics. This constraint arises naturally from
consideration of the effects of deforming the theory by one of the four
Ramond-Ramond moduli of the spacetime background, which for $n_5=1$ imposes the
constraint that our analysis has identified. Along the way, we construct a map
between the supergroup formulation of the $n_5=1$ worldsheet theory and the
more conventional RNS worldsheet formalism.
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