# ℤNdomain walls in hot = 4 SYM at weak and strong coupling

@article{Armoni2008NdomainWI, title={ℤNdomain walls in hot = 4 SYM at weak and strong coupling}, author={Adi Armoni and S. Kumar and Jefferson M. Ridgway}, journal={Journal of High Energy Physics}, year={2008}, volume={2009}, pages={076-076} }

We study the tensions of domain walls in the deconfined phase of = 4 SUSY Yang-Mills theory on 3 × S1, at weak and strong coupling. We calculate the k-wall tension at one-loop order and find that it is proportional to k(N−k) (Casimir scaling). The two-loops analysis suggests that Casimir scaling persists to this order. The strong coupling calculation is performed by using the AdS/CFT correspondence. We argue that the k-wall should be identified with an NS5-brane wrapping an S4 inside S5 in the…

## 7 Citations

### Fate of Z(N) walls in hot holographic QCD

- Physics
- 2009

We first study ZN walls/interfaces in a deconfined phase of Witten's D4-brane background of pure SU(N) Yang-Mills theory, motivated by a recent work in the case of N = 4 SYM. Similarly to it, we…

### Spatial 't Hooft loop in hot SUSY theories at weak coupling

- Physics
- 2009

The spatial 't Hooft loop measures the colour electric flux in SU(N)/Z(N) gauge theory. It is a closed loop of Dirac Z(N) flux and has strength k=1, 2,.., N-1. It is analyzed for generic k and small…

### Domain walls and metastable vacua in hot “Orientifold Field Theories”

- Physics
- 2010

We consider “Orientifold Field Theories”, namely SU(N) gauge theories with Dirac fermions in the two-index representation at high temperature. When N is even these theories exhibit a spontaneously…

### Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with nf Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) ×…

### Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)

- PhysicsJournal of High Energy Physics
- 2019

We study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with nf Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) × SU(k) × U(1)…

### United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS FATE OF ZN DOMAIN WALL IN HOT HOLOGRAPHIC QCD

- Physics
- 2009

We first study ZN-domain walls in a deconfined phase of Witten’s D4-brane background of pure SU(N) Yang-Mills theory, motivated by a recent work in the case of N = 4 SYM. Similarly to it, we propose…

### Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups

- Physics
- 2014

A bstractWe study the phase structure of N$$ \mathcal{N} $$ = 1 supersymmetric Yang-Mills theory on ℝ3 × S$$ \mathbb{S} $$1, with massive gauginos, periodic around the S$$ \mathbb{S} $$1, with Sp(2N)…

## References

SHOWING 1-10 OF 36 REFERENCES

### Casimir scaling of domain wall tensions in the deconfined phase of D = 3+1 SU(N) gauge theories

- Physics
- 2005

We perform lattice calculations of the spatial 't Hooft k-string tensions, k, in the deconfined phase of SU(N) gauge theories for N = 2,3,4,6. These equal (up to a factor of T) the surface tensions…

### On domain walls of N=1 supersymmetric Yang-Mills in four-dimensions

- Physics
- 2001

We study the BPS domain walls of supersymmetric Yang-Mills for arbitrary gauge group. We describe the degeneracies of domain walls interpolating between arbitrary pairs of vacua. A recently proposed…

### Multiply wound Polyakov loops at strong coupling

- Physics
- 2006

We study the expectation value of a Polyakov-Maldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super Yang-Mills theory. This is achieved by considering probe D3 and D5…

### Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity

- Physics
- 1998

We use the recently proposed supergravity approach to large N gauge theories to calculate ordinary and spatial Wilson loops of gauge theories in various dimensions. In this framework we observe an…

### Magnetic Z N symmetry in hot QCD and the spatial Wilson loop

- Physics
- 2000

We discuss the relation between the deconfining phase transition in gauge theories and the realization of the magnetic Z(N) symmetry. At low temperature the Z(N) symmetry is spontaneously broken…

### All-genus calculation of Wilson loops using D-branes

- Physics
- 2005

The standard prescription for calculating a Wilson loop in the AdS/CFT correspondence is by a string world-sheet ending along the loop at the boundary of AdS. For a multiply wrapped Wilson loop this…

### Anomalous Dimensions from a Spinning D5-Brane

- Physics
- 2006

We consider the anomalous dimension of a certain twist two operator in N=4 super Yang-Mills theory. At strong coupling and large-N it is captured by the classical dynamics of a spinning D5-brane. The…

### Are ZN-Bubbles Really There?

- Physics
- 1994

Abstract We argue that different Z N thermal vacua of hot pure Yang-Mills theory distinguished in the standard approach by different values of Polyakov loop average 〈P〉 T correspond actually to one…