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 |
|---|---|---|---|---|---|---|---|---|---|
| 3393 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6548 | 0.8185 | 0.8 | [X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]] | 1 | {a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | t^2.143 + 2*t^2.286 + t^2.429 + t^2.571 + t^3.429 + t^3.571 + t^3.857 + t^4. + t^4.286 + 2*t^4.429 + 4*t^4.571 + 3*t^4.714 + 4*t^4.857 + t^5. + t^5.143 + t^5.571 + 2*t^5.714 + t^5.857 + 2*t^6.143 + 2*t^6.286 + 3*t^6.429 + 3*t^6.571 + 4*t^6.714 + 7*t^6.857 + 6*t^7. + 6*t^7.143 + 2*t^7.286 + 2*t^7.429 + 2*t^7.714 + 3*t^7.857 + 3*t^8. - t^8.286 - t^8.429 + t^8.571 + 5*t^8.714 + 7*t^8.857 - t^4.143/y - t^6.286/y - (2*t^6.429)/y - t^6.571/y + (2*t^7.429)/y + (2*t^7.571)/y + (4*t^7.714)/y + (4*t^7.857)/y + (2*t^8.)/y - t^8.429/y - t^8.571/y - t^8.714/y + t^8.857/y - t^4.143*y - t^6.286*y - 2*t^6.429*y - t^6.571*y + 2*t^7.429*y + 2*t^7.571*y + 4*t^7.714*y + 4*t^7.857*y + 2*t^8.*y - t^8.429*y - t^8.571*y - t^8.714*y + t^8.857*y | t^2.143/g1^18 + (2*t^2.286)/g1^8 + g1^2*t^2.429 + g1^12*t^2.571 + t^3.429/g1^12 + t^3.571/g1^2 + g1^18*t^3.857 + g1^28*t^4. + t^4.286/g1^36 + (2*t^4.429)/g1^26 + (4*t^4.571)/g1^16 + (3*t^4.714)/g1^6 + 4*g1^4*t^4.857 + g1^14*t^5. + g1^24*t^5.143 + t^5.571/g1^30 + (2*t^5.714)/g1^20 + t^5.857/g1^10 + 2*g1^10*t^6.143 + 2*g1^20*t^6.286 + t^6.429/g1^54 + 2*g1^30*t^6.429 + (2*t^6.571)/g1^44 + g1^40*t^6.571 + (4*t^6.714)/g1^34 + (7*t^6.857)/g1^24 + (6*t^7.)/g1^14 + (6*t^7.143)/g1^4 + 2*g1^6*t^7.286 + 2*g1^16*t^7.429 + t^7.714/g1^48 + g1^36*t^7.714 + (2*t^7.857)/g1^38 + g1^46*t^7.857 + (2*t^8.)/g1^28 + g1^56*t^8. - t^8.286/g1^8 - g1^2*t^8.429 + t^8.571/g1^72 + (2*t^8.714)/g1^62 + 3*g1^22*t^8.714 + (4*t^8.857)/g1^52 + 3*g1^32*t^8.857 - t^4.143/(g1^4*y) - t^6.286/(g1^22*y) - (2*t^6.429)/(g1^12*y) - t^6.571/(g1^2*y) + (2*t^7.429)/(g1^26*y) + (2*t^7.571)/(g1^16*y) + (4*t^7.714)/(g1^6*y) + (4*g1^4*t^7.857)/y + (2*g1^14*t^8.)/y - t^8.429/(g1^40*y) - t^8.571/(g1^30*y) - t^8.714/(g1^20*y) + t^8.857/(g1^10*y) - (t^4.143*y)/g1^4 - (t^6.286*y)/g1^22 - (2*t^6.429*y)/g1^12 - (t^6.571*y)/g1^2 + (2*t^7.429*y)/g1^26 + (2*t^7.571*y)/g1^16 + (4*t^7.714*y)/g1^6 + 4*g1^4*t^7.857*y + 2*g1^14*t^8.*y - (t^8.429*y)/g1^40 - (t^8.571*y)/g1^30 - (t^8.714*y)/g1^20 + (t^8.857*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3872 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6347 | 0.7812 | 0.8125 | [X:[1.3115], M:[0.7283, 0.808, 0.6885, 0.8478, 1.1522, 0.7682, 1.2717], q:[0.8677, 0.404], qb:[0.4438, 0.7482], phi:[0.3841]] | 2*t^2.304 + t^2.424 + t^2.543 + t^3.457 + t^3.576 + 2*t^3.815 + t^3.934 + 3*t^4.609 + 2*t^4.728 + 4*t^4.848 + t^4.967 + t^5.087 + t^5.761 + t^5.881 - t^6. - t^4.152/y - t^4.152*y | detail | |
| 3873 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6679 | 0.8411 | 0.7941 | [X:[1.2996], M:[0.736, 0.8071, 0.7004, 0.8427, 1.1573, 0.7715, 0.8427], q:[0.8605, 0.4036], qb:[0.4391, 0.7538], phi:[0.3858]] | t^2.208 + 2*t^2.315 + t^2.421 + 2*t^2.528 + t^3.579 + t^3.792 + t^3.899 + t^4.416 + 2*t^4.523 + 4*t^4.629 + 4*t^4.736 + 6*t^4.843 + 2*t^4.949 + 3*t^5.056 - t^6. - t^4.157/y - t^4.157*y | detail | |
| 3874 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6707 | 0.8463 | 0.7925 | [X:[1.3285], M:[0.7174, 0.8092, 0.6715, 0.8551, 1.1449, 0.7633, 0.8092], q:[0.878, 0.4046], qb:[0.4505, 0.7404], phi:[0.3816]] | t^2.152 + 2*t^2.29 + 2*t^2.428 + t^2.565 + t^3.435 + t^3.848 + t^3.985 + t^4.304 + 2*t^4.442 + 5*t^4.58 + 5*t^4.717 + 6*t^4.855 + 2*t^4.993 + t^5.13 + t^5.587 + t^5.725 - t^6. - t^4.145/y - t^4.145*y | detail | |
| 3877 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6751 | 0.8573 | 0.7874 | [X:[1.3475], M:[0.7052, 0.8105, 0.6525, 0.8632, 1.1368, 0.7578, 0.7052], q:[0.8896, 0.4053], qb:[0.458, 0.7315], phi:[0.3789]] | 2*t^2.115 + 2*t^2.274 + t^2.432 + t^2.59 + t^3.41 + t^3.568 + t^4.043 + 3*t^4.231 + 4*t^4.389 + 5*t^4.547 + 4*t^4.705 + 4*t^4.863 + t^5.021 + t^5.179 + 2*t^5.526 + 3*t^5.684 + t^5.842 - t^6. - t^4.137/y - t^4.137*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2841 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6571 | 0.8263 | 0.7953 | [M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | t^2.027 + t^2.16 + t^2.293 + t^2.427 + t^2.56 + t^3.44 + t^3.573 + t^3.707 + t^3.84 + t^4.054 + t^4.188 + 2*t^4.321 + 2*t^4.454 + 3*t^4.587 + 2*t^4.72 + 3*t^4.853 + t^4.986 + t^5.12 + t^5.467 + 2*t^5.601 + 2*t^5.734 + 2*t^5.867 + t^6. - t^4.147/y - t^4.147*y | detail |