# Non‐abelian T‐duality of Pilch‐Warner background

@article{Dimov2016NonabelianTO, title={Non‐abelian T‐duality of Pilch‐Warner background}, author={Hristo Dimov and Stefan B. Mladenov and Radoslav C. Rashkov and T. Vetsov}, journal={Fortschritte der Physik}, year={2016}, volume={64} }

In this work we obtain the non‐abelian T‐dual geometry of the well‐known Pilch‐Warner supergravity solution in its infrared point. We derive the dual metric and the NS two‐form by gauging the isometry group of the initial theory and integrating out the introduced auxiliary gauge fields. Then we use the Fourier‐Mukai transform from algebraic geometry to find the transformation rules of the R‐R fields. The dual background preserves the N=1 supersymmetry of the original one due to the fact that…

## 15 Citations

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Abstract
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## References

SHOWING 1-10 OF 75 REFERENCES

### Non-abelian T-duality and consistent truncations in type-II supergravity

- Mathematics
- 2012

A bstractFor a general class of SO(4) symmetric backgrounds in type-II supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional…

### Holographic flows in non-Abelian T-dual geometries

- Mathematics
- 2015

A bstractWe use non-Abelian T-duality to construct new N=1$$ \mathcal{N}=1 $$ solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS5 geometries. We initiate a…

### Supersymmetry and non-Abelian T-duality in type II supergravity

- Mathematics, Physics
- 2014

We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after…

### Defects, non-abelian t-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields

- Mathematics
- 2013

A bstractWe construct topological defects generating non-abelian T-duality for isometry groups acting without isotropy. We find that these defects are given by line bundles on the correspondence…

### D-branes, T-duality, and Index Theory

- Mathematics
- 1999

We show that the transformation of D-branes under T-duality on four-torus is represented by Nahm transform of instantons. The argument for this allows us to generalize Nahm transform to the case of…

### Gauge dual and noncommutative extension of an N=2 supergravity solution

- Physics
- 2001

We investigate some properties of a recent supergravity solution of Pilch and Warner, which is dual to the N=4 gauge theory softly broken to N=2. We verify that a D3-brane probe has the expected…