Supersymmetry and mass gap in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>dimensions: A gauge invariant Hamiltonian analysis

Agarwal, Abhishek; Nair, V. P.

doi:10.1103/physrevd.85.085011

Cited by 19 publications

(21 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Their full answer states the k-string tension follows precisely a Casimir law. Couplings of Yang-Mills to matter in this framework has been also presented in [36,37,38]. An interesting work using different methods but extending the 3d YM calculation to 3d YM with adjoint matter was recently presented by Armoni-Dorigoni-Veneziano [39].…”

Section: Tensions From Various Methodsmentioning

confidence: 95%

Holographick-string tensions in higher representations and Lüscher term universality

et al. 2013

View full text Add to dashboard Cite

We investigate a holographic description of k-strings in higher representations via D5 branes with worldvolume fluxes. The D-brane configurations are embedded in supergravity backgrounds dual to confining field theories in 3 and 4 dimensions. We compute the tensions and find qualitative agreement for the totally symmetric and totally anti-symmetric representations with the results of other methods such as lattice as well as the Hamiltonian approach of Karabali and Nair. A one-loop computation on the D-brane configurations yields the Lüscher term and allows us to confirm a previously proposed universal expression following from holography.

show abstract

Section: Tensions From Various Methodsmentioning

confidence: 95%

Holographick-string tensions in higher representations and Lüscher term universality

et al. 2013

View full text Add to dashboard Cite

show abstract

“…where k is the Chern-Simons level number. In theories with extended supersymmetry, the induced level number exactly cancels m and the mass gap is renormalized to zero [24]. (This is required by supersymmetry.)…”

Section: Yang-mills Theorymentioning

confidence: 99%

Gauge-invariant variables and entanglement entropy

2017

Self Cite

View full text Add to dashboard Cite

The entanglement entropy (EE) of gauge theories in three spacetime dimensions is analyzed using manifestly gauge-invariant variables defined directly in the continuum. Specifically, we focus on the Maxwell, Maxwell-Chern-Simons (MCS), and nonabelian Yang-Mills theories. Special attention is paid to the analysis of edge modes and their contribution to EE. The contact term is derived without invoking the replica method and its physical origin is traced to the phase space volume measure for the edge modes. The topological contribution to the EE for the MCS case is calculated. For all the abelian cases, the EE presented in this paper agrees with known results in the literature. The EE for the nonabelian theory is computed in a gauge-invariant gaussian approximation, which incoprorates the dynamically generated mass gap. A formulation of the contact term for the nonabelian case is also presented.

show abstract

“…• Using the gauge-invariant Hamiltonian formulation of Yang-Mills-Chern-Simons theories with 0 ≤ N ≤ 4 supersymmetry, it has been argued that a mass gap is present for N ≤ 1 and absent for extended supersymmetry [30,31]. It would therefore be interesting to explore how to formulate non-abelian Chern-Simons theory on a lattice and couple it to our model in order to test these arguments and explore the existence of a mass gap.…”

Section: Resultsmentioning

confidence: 99%

3d $$ \mathcal{N}=4 $$ super-Yang-Mills on a lattice

Giedt

Lipstein

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

In this paper we explore a new approach to studying three-dimensional N = 4 super-Yang-Mills on a lattice. Our strategy is to complexify the Donaldson-Witten twist of four-dimensional N = 2 super-Yang-Mills to make it amenable to a lattice formulation and we find that lattice gauge invariance forces the model to live in at most three dimensions. We analyze the renormalization of the lattice theory and show that uncomplexified three-dimensional N = 4 super-Yang-Mills can be reached in the continuum limit by supplementing the lattice action with appropriate mass terms.

show abstract

Supersymmetry and mass gap in2+1dimensions: A gauge invariant Hamiltonian analysis

Cited by 19 publications

References 75 publications

Holographick-string tensions in higher representations and Lüscher term universality

Holographick-string tensions in higher representations and Lüscher term universality

Gauge-invariant variables and entanglement entropy

3d $$ \mathcal{N}=4 $$ super-Yang-Mills on a lattice

Contact Info

Product

Resources

About