# Kähler uniformization from holographic renormalization group flows of M5-branes

@article{Fluder2018KhlerUF,
title={K{\"a}hler uniformization from holographic renormalization group flows of M5-branes},
author={Martin Fluder},
journal={Journal of High Energy Physics},
year={2018},
volume={2018},
pages={1-35}
}
• Martin Fluder
• Published 25 October 2017
• Mathematics, Physics
• Journal of High Energy Physics
A bstractIn this paper, we initiate the study of holographic renormalization group flows for the metric of four-manifolds. In particular, we derive a set of equations which govern the evolution of a generic Kähler four-manifold along the renormalization group flow in seven-dimensional gauged supergravity. The physical eleven-dimensional M-theory setup is given by a stack of M5-branes wrapping a calibrated Kähler four-cycle inside a Calabi-Yau threefold. By topologically twisting the theory in…
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## References

SHOWING 1-10 OF 65 REFERENCES

### Two-dimensional SCFTs from wrapped branes and c-extremization

• Mathematics
Journal of High Energy Physics
• 2013
A bstractWe apply c-extremization [1], whose proof we review in full detail, to study twodimensional $\mathcal{N}$ = (0, 2) superconformal field theories arising from the low-energy dynamics of

### Universal RG flows across dimensions and holography

• Physics
• 2017
A bstractWe study RG flows between superconformal field theories living in different spacetime dimensions which exhibit universal properties, independent of the details of the UV and IR theories. In

### AdS/CFT dual pairs from M5-branes on Riemann surfaces

• Mathematics
• 2012
In this letter we describe an infinite family of new N=1 AdS_5/CFT_4 dual pairs which arise from M5-branes wrapping Riemann surfaces in Calabi-Yau threefolds. We use the relevant brane constructions

### Supergravity description of field theories on curved manifolds and a no go theorem

• Mathematics
• 2000
In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on

### Holographic Uniformization

• Mathematics
• 2013
We derive and study supergravity BPS flow equations for M5 or D3 branes wrapping a Riemann surface. They take the form of novel geometric flows intrinsically defined on the surface. Their dual

### M-fivebranes wrapped on supersymmetric cycles

• Physics
• 2001
We construct supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap general supersymmetric cycles. The solutions are constructed in maximal D=7 gauged

### 3D supergravity from wrapped M5-branes

• Mathematics
• 2013
A bstractThrough consistent Kaluza-Klein reduction, we construct 3D N=2$$\mathcal{N}=2$$ gauged supergravities corresponding to twisted compactifications of M5-branes on a product of constant

### AdS spacetimes from wrapped D3-branes

• Mathematics
• 2006
We derive a geometrical characterization of a large class of AdS3 and AdS2 supersymmetric spacetimes in type IIB supergravity with non-vanishing five-form flux using G-structures. These are obtained