Phase transition of anti-symmetric Wilson loops in 


N
=
4


$$ \mathcal{N}=4 $$
 SYM

Okuyama, Kazumi

doi:10.1007/jhep12(2017)125

Cited by 16 publications

(29 citation statements)

References 30 publications

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“…It is important to compare more systematically our approach with different expansions including the large λ expansions presented [30,31]. There has recently been a particularly enlighting clarification of the order of limits and corrections for the anti-symmetric Wilson loop in [32] [33] and it is expected that our work will contribute to a similar elucidation in the case of the symmetric representation.…”

Section: Discussionmentioning

confidence: 85%

Comments on higher rank Wilson loops in N $$ \mathcal{N} $$ = 2∗

Liu

Zayas

Zhou

2018

J. High Energ. Phys.

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For N = 2 * theory with U(N ) gauge group we evaluate expectation values of Wilson loops in representations described by a rectangular Young tableau with n rows and k columns. The evaluation reduces to a two-matrix model and we explain, using a combination of numerical and analytical techniques, the general properties of the eigenvalue distributions in various regimes of parameters (N, λ, n, k) where λ is the 't Hooft coupling. In the large N limit we present analytic results for the leading and sub-leading contributions. In the particular cases of only one row or one column we reproduce previously known results for the totally symmetry and totally antisymmetric representations. We also extensively discusss the N = 4 limit of the N = 2 * theory. While establishing these connections we clarify aspects of various orders of limits and how to relax them; we also find it useful to explicitly address details of the genus expansion. As a result, for the totally symmetric Wilson loop we find new contributions that improve the comparison with the dual holographic computation at one loop order in the appropriate regime.

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Section: Discussionmentioning

confidence: 85%

Comments on higher rank Wilson loops in N $$ \mathcal{N} $$ = 2∗

Liu

Zayas

Zhou

2018

J. High Energ. Phys.

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“…For the protein docking behavior, we compare results of V P 1, V P 2, V P 3 with their host protein receptor genotype in antibody of Ig − CAM . The results of data analysis of Chern-Simons current with (IT D − IM F )chain(1) and (IT D − IM F )chain (8) are shown in Fig. 17.…”

Section: Results Of Data Analysismentioning

confidence: 99%

The Chern–Simons current in time series of knots and links in proteins

Capozziello

Pinčák

2018

Annals of Physics

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A superspace model of knots and links for DNA time series data is proposed to take into account the feedback loop from docking to undocking state of protein-protein interactions. In particular, the direction of interactions between the 8 hidden states of DNA is considered. It is a E8×E8 unified spin model where the genotype, from active and inactive side of DNA time data series, can be considered for any living organism. The mathematical model is borrowed from loop-quantum gravity and adapted to biology. It is used to derive equations for gene expression describing transitions from ground to excited states, and for the 8 coupling states between geneon and anti-geneon transposon and retrotransposon in trash DNA. Specifically, we adopt a modified Grothendieck cohomology and a modified Khovanov cohomology for biology. The result is a Chern-Simons current in (8 + 3) extradimensions of a given unoriented supermanifold with ghost fields of protein structures. The 8 dimensions come from the 8 hidden states of spinor field of genetic code. The extradimensions come from the 3 types of principle fiber bundle in the secondary protein.

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“…We do so for a fixed representation, i.e. we do not consider the interesting case where the number of boxes in the Young diagram of the representation scales with N. For recent work in that direction see [35][36][37][38].…”

Section: W R In Terms Of Color Invariantsmentioning

confidence: 99%

Wilson loops in terms of color invariants

Fiol

Martínez-Montoya

Fukelman

2019

J. High Energ. Phys.

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We derive an expression for the vacuum expectation value (vev) of the 1/2 BPS circular Wilson loop of N = 4 super Yang Mills in terms of color invariants, valid for any representation R of any gauge group G. This expression allows us to discuss various exact relations among vevs in different representations. We also display the reduction of these color invariants to simpler ones, up to seventh order in perturbation theory, and verify that the resulting expression is considerably simpler for the logarithm of W R than for W R itself. We find that in the particular case of the symmetric and antisymmetric representations of SU(N ), the logarithm of W R satisfies a quadratic Casimir factorization up to seventh order, and argue that this property holds to all orders. Finally, we derive the large N expansion of W R for an arbitrary, but fixed, representation of SU(N ), up to order 1/N 2 .

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Phase transition of anti-symmetric Wilson loops in N = 4 $$ \mathcal{N}=4 $$ SYM

Cited by 16 publications

References 30 publications

Comments on higher rank Wilson loops in N $$ \mathcal{N} $$ = 2∗

Comments on higher rank Wilson loops in N $$ \mathcal{N} $$ = 2∗

The Chern–Simons current in time series of knots and links in proteins

Wilson loops in terms of color invariants

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