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 |
|---|---|---|---|---|---|---|---|---|---|
| 57294 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.3133 | 1.5258 | 0.8607 | [X:[1.2, 1.4], M:[1.0], q:[0.3, 0.5], qb:[0.3, 0.5], phi:[0.4]] | [X:[[0, 0], [0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 5253/4000, c: 6103/4000, X1: 6/5, X2: 7/5, M1: 1, q1: 3/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}X_{1}$, ${ }q_{1}\tilde{q}_{2}X_{1}$ | 7 | 2*t^2.4 + 2*t^3. + 4*t^3.6 + 3*t^4.2 + 2*t^4.5 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + 2*t^5.7 + 7*t^6. + 4*t^6.3 + 9*t^6.6 + 4*t^6.9 + 18*t^7.2 + 6*t^7.5 + 14*t^7.8 + 8*t^8.1 + 17*t^8.4 + 10*t^8.7 - t^4.2/y - t^5.4/y - (2*t^6.6)/y - t^7.2/y - (2*t^7.8)/y + t^8.4/y - t^4.2*y - t^5.4*y - 2*t^6.6*y - t^7.2*y - 2*t^7.8*y + t^8.4*y | (g1*t^2.4)/g2 + (g2*t^2.4)/g1 + 2*t^3. + 2*t^3.6 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + 3*t^4.2 + t^4.5/(g1^2*g2) + g1^2*g2*t^4.5 + t^4.8 + (g1^2*t^4.8)/g2^2 + (g1*t^4.8)/g2 + (g2*t^4.8)/g1 + (g2^2*t^4.8)/g1^2 + t^5.1/(g1*g2^2) + g1*g2^2*t^5.1 + t^5.4 + (g1*t^5.4)/g2 + (g2*t^5.4)/g1 + t^5.7/(g1^2*g2) + g1^2*g2*t^5.7 + t^6. + (g1^2*t^6.)/g2^2 + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + (g2^2*t^6.)/g1^2 + t^6.3/g1^3 + g1^3*t^6.3 + t^6.3/(g1*g2^2) + g1*g2^2*t^6.3 + 3*t^6.6 + (3*g1*t^6.6)/g2 + (3*g2*t^6.6)/g1 + t^6.9/g1^3 + g1^3*t^6.9 + t^6.9/(g1^2*g2) + g1^2*g2*t^6.9 + 8*t^7.2 + (g1^3*t^7.2)/g2^3 + (2*g1^2*t^7.2)/g2^2 + (2*g1*t^7.2)/g2 + (2*g2*t^7.2)/g1 + (2*g2^2*t^7.2)/g1^2 + (g2^3*t^7.2)/g1^3 + t^7.5/g2^3 + t^7.5/(g1*g2^2) + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 + g1*g2^2*t^7.5 + g2^3*t^7.5 + 4*t^7.8 + (g1^2*t^7.8)/g2^2 + (4*g1*t^7.8)/g2 + (4*g2*t^7.8)/g1 + (g2^2*t^7.8)/g1^2 + t^8.1/g1^3 + g1^3*t^8.1 + t^8.1/g2^3 + t^8.1/(g1*g2^2) + t^8.1/(g1^2*g2) + g1^2*g2*t^8.1 + g1*g2^2*t^8.1 + g2^3*t^8.1 + 9*t^8.4 + (g1^3*t^8.4)/g2^3 + (3*g1^2*t^8.4)/g2^2 + (3*g2^2*t^8.4)/g1^2 + (g2^3*t^8.4)/g1^3 - t^8.7/g1^3 - g1^3*t^8.7 + t^8.7/g2^3 + t^8.7/(g1*g2^2) + (3*t^8.7)/(g1^2*g2) + (g1^4*t^8.7)/g2 + (g2*t^8.7)/g1^4 + 3*g1^2*g2*t^8.7 + g1*g2^2*t^8.7 + g2^3*t^8.7 - t^4.2/y - t^5.4/y - (g1*t^6.6)/(g2*y) - (g2*t^6.6)/(g1*y) - t^7.2/y - (g1*t^7.8)/(g2*y) - (g2*t^7.8)/(g1*y) - (3*t^8.4)/y + (2*g1*t^8.4)/(g2*y) + (2*g2*t^8.4)/(g1*y) - t^4.2*y - t^5.4*y - (g1*t^6.6*y)/g2 - (g2*t^6.6*y)/g1 - t^7.2*y - (g1*t^7.8*y)/g2 - (g2*t^7.8*y)/g1 - 3*t^8.4*y + (2*g1*t^8.4*y)/g2 + (2*g2*t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 57910 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.3303 | 1.5564 | 0.8547 | [X:[1.2, 1.4], M:[1.0, 0.7819], q:[0.2924, 0.5106], qb:[0.3076, 0.4894], phi:[0.4]] | 2*t^2.35 + t^2.45 + 2*t^3. + t^3.55 + 2*t^3.6 + 3*t^4.2 + t^4.49 + t^4.51 + 3*t^4.69 + t^4.75 + 2*t^4.8 + t^4.85 + t^4.91 + t^5.06 + t^5.14 + 3*t^5.35 + t^5.4 + t^5.45 + t^5.69 + t^5.71 + 2*t^5.89 + 4*t^5.95 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57908 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2649 | 1.4774 | 0.8562 | [X:[1.2, 1.4], M:[1.0], q:[0.3455, 0.6273], qb:[0.2545, 0.3727], phi:[0.4]] | t^2.15 + t^2.65 + 2*t^3. + t^3.35 + 2*t^3.6 + 2*t^3.85 + 4*t^4.2 + t^4.31 + t^4.55 + t^4.8 + 2*t^5.05 + 2*t^5.15 + t^5.29 + 2*t^5.4 + t^5.51 + t^5.65 + 2*t^5.75 + t^5.89 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 222627/176000, c: 260027/176000, X1: 6/5, X2: 7/5, M1: 1, q1: 19/55, q2: 69/110, qb1: 14/55, qb2: 41/110, phi1: 2/5} |
| 57906 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.1492 | 1.3617 | 0.8439 | [X:[1.2, 1.4], M:[1.0], q:[0.4852, 0.6296], qb:[0.1148, 0.3704], phi:[0.4]] | t^2.23 + t^2.57 + 3*t^3. + t^3.43 + 2*t^3.6 + 2*t^3.77 + 4*t^4.2 + t^4.47 + 2*t^4.63 + t^4.8 + 2*t^4.97 + t^5.13 + 2*t^5.23 + 2*t^5.4 + t^5.57 + t^5.67 + 2*t^5.83 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 18387/16000, c: 21787/16000, X1: 6/5, X2: 7/5, M1: 1, q1: 131/270, q2: 17/27, qb1: 31/270, qb2: 10/27, phi1: 2/5} |
| 57909 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.3067 | 1.5192 | 0.8601 | [X:[1.2, 1.4], M:[1.0], q:[0.337, 0.5259], qb:[0.263, 0.4741], phi:[0.4]] | t^2.37 + t^2.43 + 2*t^3. + t^3.57 + 2*t^3.6 + t^3.63 + 4*t^4.2 + t^4.73 + t^4.77 + 2*t^4.8 + 2*t^4.83 + t^4.87 + 2*t^5.37 + 2*t^5.4 + t^5.43 + t^5.93 + 3*t^5.97 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 20907/16000, c: 24307/16000, X1: 6/5, X2: 7/5, M1: 1, q1: 91/270, q2: 71/135, qb1: 71/270, qb2: 64/135, phi1: 2/5} |
| 57907 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ | 1.0815 | 1.2565 | 0.8607 | [X:[1.2, 1.4, 1.6], M:[1.0], q:[0.1333, 0.7333], qb:[0.4667, 0.2667], phi:[0.4]] | t^2.4 + 2*t^3. + 4*t^3.6 + 4*t^4.2 + 5*t^4.8 + 3*t^5.4 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2163/2000, c: 2513/2000, X1: 6/5, X2: 7/5, X3: 8/5, M1: 1, q1: 2/15, q2: 11/15, qb1: 7/15, qb2: 4/15, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |