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 |
---|---|---|---|---|---|---|---|---|---|
60061 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3065 | 1.4493 | 0.9014 | [X:[1.4286], M:[1.1429], q:[0.6508, 0.4127], qb:[0.7778, 0.4444], phi:[0.2857]] | [X:[[0]], M:[[0]], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]] | 1 | {a: 3585/2744, c: 3977/2744, X1: 10/7, M1: 8/7, q1: 41/63, q2: 26/63, qb1: 7/9, qb2: 4/9, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | 0 | t^2.57 + t^3.29 + 2*t^3.43 + t^3.57 + t^4.14 + 3*t^4.29 + t^4.43 + 2*t^5.14 + t^5.29 + t^5.86 + t^6.14 + t^6.29 + 2*t^6.57 + 2*t^6.71 + 5*t^6.86 + t^7. + t^7.14 + t^7.43 + 4*t^7.57 + 7*t^7.71 + 3*t^7.86 + 2*t^8.43 + 8*t^8.57 + 3*t^8.71 + 2*t^8.86 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.43/y - t^7.14/y - (2*t^7.29)/y - t^7.43/y - t^8./y - (3*t^8.14)/y - t^8.29/y + t^8.86/y - t^3.86*y - t^4.71*y - t^6.43*y - t^7.14*y - 2*t^7.29*y - t^7.43*y - t^8.*y - 3*t^8.14*y - t^8.29*y + t^8.86*y + t^8.57*y^2 | t^2.57 + g1^3*t^3.29 + 2*t^3.43 + t^3.57/g1^3 + g1^3*t^4.14 + 3*t^4.29 + t^4.43/g1^3 + 2*t^5.14 + t^5.29/g1^3 + g1^3*t^5.86 + t^6.14/g1^3 + t^6.29/g1^6 + 2*g1^6*t^6.57 + 2*g1^3*t^6.71 + 5*t^6.86 + t^7./g1^3 + t^7.14/g1^6 + g1^6*t^7.43 + 4*g1^3*t^7.57 + 7*t^7.71 + (3*t^7.86)/g1^3 + 2*g1^3*t^8.43 + 8*t^8.57 + (3*t^8.71)/g1^3 + (2*t^8.86)/g1^6 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.43/y - (g1^3*t^7.14)/y - (2*t^7.29)/y - t^7.43/(g1^3*y) - (g1^3*t^8.)/y - (3*t^8.14)/y - t^8.29/(g1^3*y) + (g1^3*t^8.86)/y - t^3.86*y - t^4.71*y - t^6.43*y - g1^3*t^7.14*y - 2*t^7.29*y - (t^7.43*y)/g1^3 - g1^3*t^8.*y - 3*t^8.14*y - (t^8.29*y)/g1^3 + g1^3*t^8.86*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57630 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3191 | 1.4708 | 0.8968 | [X:[1.4286], M:[], q:[0.6508, 0.4127], qb:[0.7778, 0.4444], phi:[0.2857]] | 2*t^2.57 + t^3.29 + t^3.43 + t^3.57 + t^4.14 + 3*t^4.29 + t^4.43 + 4*t^5.14 + t^5.29 + 2*t^5.86 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 7239/5488, c: 1009/686, X1: 10/7, q1: 41/63, q2: 26/63, qb1: 7/9, qb2: 4/9, phi1: 2/7} |