Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
57437 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.9109 | 0.9563 | 0.9525 | [X:[1.6364, 1.4545], q:[0.6818, 0.4545], qb:[1.3182, 0.4545], phi:[0.1818]] | [X:[[0], [0]], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]] | 1 | {a: 9699/10648, c: 10183/10648, X1: 18/11, X2: 16/11, q1: 15/22, q2: 5/11, qb1: 29/22, qb2: 5/11, phi1: 2/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}$ | -1 | t^2.727 + t^3.273 + t^3.818 + t^4.364 + t^4.909 + t^5.455 + 2*t^5.727 - t^6. + t^6.545 + 2*t^7.091 + 4*t^7.636 - 2*t^7.909 + 3*t^8.182 + t^8.727 + t^7.636/y^2 - t^3.545/y - t^4.091/y - t^6.273/y - t^6.818/y - t^7.364/y - t^7.909/y - t^8.455/y - t^3.545*y - t^4.091*y - t^6.273*y - t^6.818*y - t^7.364*y - t^7.909*y - t^8.455*y + t^7.636*y^2 | t^2.727 + t^3.273 + t^3.818 + t^4.364 + t^4.909 + t^5.455 + t^5.727/g1^6 + g1^6*t^5.727 - t^6. + t^6.545 + 2*t^7.091 + 4*t^7.636 - t^7.909/g1^6 - g1^6*t^7.909 + 3*t^8.182 + t^8.727 + t^7.636/y^2 - t^3.545/y - t^4.091/y - t^6.273/y - t^6.818/y - t^7.364/y - t^7.909/y - t^8.455/y - t^3.545*y - t^4.091*y - t^6.273*y - t^6.818*y - t^7.364*y - t^7.909*y - t^8.455*y + t^7.636*y^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
58572 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9192 | 0.9703 | 0.9473 | [X:[1.6364, 1.4545], M:[0.9091], q:[0.6818, 0.4545], qb:[1.3182, 0.4545], phi:[0.1818]] | 2*t^2.73 + t^3.82 + t^4.36 + t^4.91 + 3*t^5.45 + 2*t^5.73 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 19575/21296, c: 2583/2662, X1: 18/11, X2: 16/11, M1: 10/11, q1: 15/22, q2: 5/11, qb1: 29/22, qb2: 5/11, phi1: 2/11} |
58981 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 0.9026 | 0.9423 | 0.9578 | [X:[1.6364, 1.4545], M:[1.0909], q:[0.6818, 0.4545], qb:[1.3182, 0.4545], phi:[0.1818]] | 2*t^3.27 + t^3.82 + t^4.36 + t^4.91 + 2*t^5.73 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 19221/21296, c: 5017/5324, X1: 18/11, X2: 16/11, M1: 12/11, q1: 15/22, q2: 5/11, qb1: 29/22, qb2: 5/11, phi1: 2/11} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
47888 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], q:[0.6858, 0.4426], qb:[1.3142, 0.4426], phi:[0.1858]] | t^2.656 + t^3.213 + t^3.77 + t^4.328 + t^4.885 + t^5.311 + 2*t^5.656 + t^5.869 - 2*t^6. - t^3.557/y - t^4.115/y - t^3.557*y - t^4.115*y | detail |