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 |
|---|---|---|---|---|---|---|---|---|---|
| 57959 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3863 | 1.5852 | 0.8745 | [X:[1.2727], M:[0.9091, 1.2727], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] | [X:[[0, 0]], M:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 29523/21296, c: 16879/10648, X1: 14/11, M1: 10/11, M2: 14/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 4 | 3*t^2.73 + 2*t^3.27 + 4*t^3.82 + 2*t^4.36 + 4*t^4.91 + 7*t^5.45 + 4*t^6. + 15*t^6.55 + 10*t^7.09 + 17*t^7.64 + 21*t^8.18 + 11*t^8.73 - t^4.09/y - t^5.18/y - (3*t^6.82)/y - t^7.36/y - (4*t^7.91)/y + t^8.45/y - t^4.09*y - t^5.18*y - 3*t^6.82*y - t^7.36*y - 4*t^7.91*y + t^8.45*y | t^2.73 + (g1*t^2.73)/g2 + (g2*t^2.73)/g1 + 2*t^3.27 + 2*t^3.82 + (g1*t^3.82)/g2 + (g2*t^3.82)/g1 + 2*t^4.36 + t^4.91/(g1^2*g2) + (g1*t^4.91)/g2 + (g2*t^4.91)/g1 + g1^2*g2*t^4.91 + 3*t^5.45 + t^5.45/(g1*g2^2) + (g1^2*t^5.45)/g2^2 + (g2^2*t^5.45)/g1^2 + g1*g2^2*t^5.45 - 2*t^6. + t^6./(g1^2*g2) + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + g1^2*g2*t^6. + 7*t^6.55 + t^6.55/g1^3 + g1^3*t^6.55 + t^6.55/(g1*g2^2) + (g1^2*t^6.55)/g2^2 + (g1*t^6.55)/g2 + (g2*t^6.55)/g1 + (g2^2*t^6.55)/g1^2 + g1*g2^2*t^6.55 + 2*t^7.09 - t^7.09/(g1*g2^2) + t^7.09/(g1^2*g2) + (4*g1*t^7.09)/g2 + (4*g2*t^7.09)/g1 + g1^2*g2*t^7.09 - g1*g2^2*t^7.09 + 9*t^7.64 + t^7.64/g1^3 + g1^3*t^7.64 + (2*t^7.64)/(g1*g2^2) + (2*g1^2*t^7.64)/g2^2 - t^7.64/(g1^2*g2) - g1^2*g2*t^7.64 + (2*g2^2*t^7.64)/g1^2 + 2*g1*g2^2*t^7.64 + t^8.18 - t^8.18/g1^3 - g1^3*t^8.18 + (2*t^8.18)/g2^3 + (g1^3*t^8.18)/g2^3 - t^8.18/(g1*g2^2) + (3*t^8.18)/(g1^2*g2) + (6*g1*t^8.18)/g2 + (6*g2*t^8.18)/g1 + 3*g1^2*g2*t^8.18 - g1*g2^2*t^8.18 + 2*g2^3*t^8.18 + (g2^3*t^8.18)/g1^3 + 7*t^8.73 + (2*t^8.73)/g1^3 + 2*g1^3*t^8.73 - t^8.73/g2^3 + (3*t^8.73)/(g1*g2^2) + (3*g1^2*t^8.73)/g2^2 - t^8.73/(g1^2*g2) - (4*g1*t^8.73)/g2 - (4*g2*t^8.73)/g1 - g1^2*g2*t^8.73 + (3*g2^2*t^8.73)/g1^2 + 3*g1*g2^2*t^8.73 - g2^3*t^8.73 - t^4.09/y - t^5.18/y - t^6.82/y - (g1*t^6.82)/(g2*y) - (g2*t^6.82)/(g1*y) - t^7.36/y - (2*t^7.91)/y - (g1*t^7.91)/(g2*y) - (g2*t^7.91)/(g1*y) - t^8.45/y + (g1*t^8.45)/(g2*y) + (g2*t^8.45)/(g1*y) - t^4.09*y - t^5.18*y - t^6.82*y - (g1*t^6.82*y)/g2 - (g2*t^6.82*y)/g1 - t^7.36*y - 2*t^7.91*y - (g1*t^7.91*y)/g2 - (g2*t^7.91*y)/g1 - t^8.45*y + (g1*t^8.45*y)/g2 + (g2*t^8.45*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60971 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4063 | 1.6229 | 0.8666 | [X:[1.2727], M:[0.9091, 1.2727, 0.7174], q:[0.3595, 0.5512], qb:[0.3677, 0.5397], phi:[0.3636]] | t^2.15 + t^2.7 + t^2.73 + t^2.76 + 2*t^3.27 + t^3.79 + 2*t^3.82 + t^4.3 + 2*t^4.36 + t^4.85 + 2*t^4.88 + t^4.9 + t^4.91 + t^4.92 + t^4.94 + t^5.4 + 3*t^5.43 + 3*t^5.45 + t^5.48 + t^5.51 + t^5.94 + 4*t^5.97 + t^5.99 - 2*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | |
| 61218 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3702 | 1.569 | 0.8733 | [X:[1.2727], M:[0.9091, 1.2727], q:[0.3912, 0.6226], qb:[0.3361, 0.4683], phi:[0.3636]] | t^2.58 + t^2.73 + t^2.88 + 2*t^3.27 + t^3.67 + 2*t^3.82 + t^3.97 + 2*t^4.36 + t^4.51 + t^4.76 + t^4.91 + t^5.06 + t^5.16 + t^5.31 + 3*t^5.45 + t^5.6 + t^5.75 + 2*t^5.85 - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 320973/234256, c: 183779/117128, X1: 14/11, M1: 10/11, M2: 14/11, q1: 142/363, q2: 226/363, qb1: 122/363, qb2: 170/363, phi1: 4/11} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57304 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4239 | 1.604 | 0.8878 | [X:[1.3732], M:[0.7835, 1.0969], q:[0.4515, 0.6082], qb:[0.4515, 0.6082], phi:[0.3134]] | t^2.351 + t^2.821 + 2*t^3.179 + t^3.291 + t^3.649 + 3*t^4.12 + 2*t^4.59 + t^4.701 + 2*t^5.06 + t^5.171 + 2*t^5.474 + t^5.53 + 2*t^5.641 + 2*t^5.944 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail |