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 |
---|---|---|---|---|---|---|---|---|---|
57679 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4142 | 1.566 | 0.9031 | [X:[1.4286], M:[], q:[0.5714, 0.5714], qb:[0.5714, 0.5714], phi:[0.2857]] | [X:[[0]], M:[], q:[[-1], [2]], qb:[[-2], [1]], phi:[[0]]] | 1 | {a: 7761/5488, c: 4297/2744, X1: 10/7, q1: 4/7, q2: 4/7, qb1: 4/7, qb2: 4/7, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.57 + 4*t^3.43 + 5*t^4.29 + 5*t^5.14 + 12*t^6.86 + 23*t^7.71 + 15*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.43/y - (5*t^7.29)/y - (4*t^8.14)/y - t^3.86*y - t^4.71*y - t^6.43*y - 5*t^7.29*y - 4*t^8.14*y + t^8.57*y^2 | t^2.57 + 2*t^3.43 + t^3.43/g1^3 + g1^3*t^3.43 + 3*t^4.29 + t^4.29/g1^3 + g1^3*t^4.29 + 3*t^5.14 + t^5.14/g1^3 + g1^3*t^5.14 + 6*t^6.86 + t^6.86/g1^6 + (2*t^6.86)/g1^3 + 2*g1^3*t^6.86 + g1^6*t^6.86 + 9*t^7.71 + (2*t^7.71)/g1^6 + (5*t^7.71)/g1^3 + 5*g1^3*t^7.71 + 2*g1^6*t^7.71 + 7*t^8.57 + t^8.57/g1^6 + (3*t^8.57)/g1^3 + 3*g1^3*t^8.57 + g1^6*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.43/y - (3*t^7.29)/y - t^7.29/(g1^3*y) - (g1^3*t^7.29)/y - (2*t^8.14)/y - t^8.14/(g1^3*y) - (g1^3*t^8.14)/y - t^3.86*y - t^4.71*y - t^6.43*y - 3*t^7.29*y - (t^7.29*y)/g1^3 - g1^3*t^7.29*y - 2*t^8.14*y - (t^8.14*y)/g1^3 - g1^3*t^8.14*y + t^8.57*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 |
---|---|---|---|---|---|---|---|---|
60492 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4016 | 1.5445 | 0.9075 | [X:[1.4286], M:[1.1429], q:[0.5714, 0.5714], qb:[0.5714, 0.5714], phi:[0.2857]] | 5*t^3.43 + 5*t^4.29 + 4*t^5.14 - 4*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 1923/1372, c: 2119/1372, X1: 10/7, M1: 8/7, q1: 4/7, q2: 4/7, qb1: 4/7, qb2: 4/7, phi1: 2/7} |
59670 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.0026 | 1.1276 | 0.8891 | [X:[1.4286, 1.4286], M:[], q:[0.7619, 0.1905], qb:[0.9524, 0.381], phi:[0.2857]] | 2*t^2.57 + 3*t^3.43 + 4*t^4.29 + 4*t^5.14 + 3*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 393/392, c: 221/196, X1: 10/7, X2: 10/7, q1: 16/21, q2: 4/21, qb1: 20/21, qb2: 8/21, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
47940 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.4418 | 1.621 | 0.8894 | [X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]] | t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y | detail |