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 |
|---|---|---|---|---|---|---|---|---|---|
| 3207 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6331 | 0.8324 | 0.7605 | [M:[1.287, 0.8076, 0.9527, 1.142, 0.858, 0.713, 0.6687], q:[0.3092, 0.4038], qb:[0.7382, 0.4542], phi:[0.5237]] | [M:[[18], [-26], [4], [-12], [12], [-18], [28]], q:[[-5], [-13]], qb:[[1], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 1 | t^2.006 + t^2.139 + t^2.29 + t^2.423 + t^2.574 + t^2.858 + t^3.142 + 2*t^3.426 + t^3.71 + t^3.861 + t^4.012 + 2*t^4.145 + t^4.278 + 2*t^4.296 + 2*t^4.429 + t^4.562 + 2*t^4.58 + 2*t^4.713 + t^4.846 + 2*t^4.864 + 2*t^4.997 + 3*t^5.148 + 2*t^5.281 + 4*t^5.432 + 2*t^5.565 + 3*t^5.716 + 2*t^5.849 + t^5.867 + t^6. + t^6.018 + t^6.133 + 2*t^6.151 + 3*t^6.284 + 2*t^6.302 + t^6.417 + 3*t^6.435 + 4*t^6.568 + 3*t^6.586 + t^6.701 + 4*t^6.719 + 4*t^6.852 + 4*t^6.87 + t^6.985 + 3*t^7.003 + 3*t^7.136 + 4*t^7.154 + t^7.269 + 4*t^7.287 + 2*t^7.42 + 6*t^7.438 + 4*t^7.571 + 3*t^7.704 + 6*t^7.722 + 3*t^7.855 + t^7.873 + 2*t^7.988 + 3*t^8.006 + t^8.024 + 2*t^8.139 + 3*t^8.157 + 2*t^8.272 + 3*t^8.29 + 2*t^8.308 + t^8.423 + 4*t^8.441 + 2*t^8.556 + 3*t^8.574 + 4*t^8.592 + 3*t^8.707 + 4*t^8.725 + t^8.84 + 3*t^8.858 + 5*t^8.876 + 4*t^8.991 - t^4.571/y - t^6.577/y - t^6.994/y + t^7.145/y + t^7.296/y + (2*t^7.429)/y + t^7.562/y + t^7.58/y + (2*t^7.713)/y + (2*t^7.864)/y + (2*t^7.997)/y + (3*t^8.148)/y + (2*t^8.281)/y + (4*t^8.432)/y + (4*t^8.565)/y - t^8.583/y + (4*t^8.716)/y + (3*t^8.849)/y + t^8.867/y - t^4.571*y - t^6.577*y - t^6.994*y + t^7.145*y + t^7.296*y + 2*t^7.429*y + t^7.562*y + t^7.58*y + 2*t^7.713*y + 2*t^7.864*y + 2*t^7.997*y + 3*t^8.148*y + 2*t^8.281*y + 4*t^8.432*y + 4*t^8.565*y - t^8.583*y + 4*t^8.716*y + 3*t^8.849*y + t^8.867*y | g1^28*t^2.006 + t^2.139/g1^18 + g1^20*t^2.29 + t^2.423/g1^26 + g1^12*t^2.574 + g1^4*t^2.858 + t^3.142/g1^4 + (2*t^3.426)/g1^12 + t^3.71/g1^20 + g1^18*t^3.861 + g1^56*t^4.012 + 2*g1^10*t^4.145 + t^4.278/g1^36 + 2*g1^48*t^4.296 + 2*g1^2*t^4.429 + t^4.562/g1^44 + 2*g1^40*t^4.58 + (2*t^4.713)/g1^6 + t^4.846/g1^52 + 2*g1^32*t^4.864 + (2*t^4.997)/g1^14 + 3*g1^24*t^5.148 + (2*t^5.281)/g1^22 + 4*g1^16*t^5.432 + (2*t^5.565)/g1^30 + 3*g1^8*t^5.716 + (2*t^5.849)/g1^38 + g1^46*t^5.867 + t^6. + g1^84*t^6.018 + t^6.133/g1^46 + 2*g1^38*t^6.151 + (3*t^6.284)/g1^8 + 2*g1^76*t^6.302 + t^6.417/g1^54 + 3*g1^30*t^6.435 + (4*t^6.568)/g1^16 + 3*g1^68*t^6.586 + t^6.701/g1^62 + 4*g1^22*t^6.719 + (4*t^6.852)/g1^24 + 4*g1^60*t^6.87 + t^6.985/g1^70 + 3*g1^14*t^7.003 + (3*t^7.136)/g1^32 + 4*g1^52*t^7.154 + t^7.269/g1^78 + 4*g1^6*t^7.287 + (2*t^7.42)/g1^40 + 6*g1^44*t^7.438 + (4*t^7.571)/g1^2 + (3*t^7.704)/g1^48 + 6*g1^36*t^7.722 + (3*t^7.855)/g1^10 + g1^74*t^7.873 + (2*t^7.988)/g1^56 + 3*g1^28*t^8.006 + g1^112*t^8.024 + (2*t^8.139)/g1^18 + 3*g1^66*t^8.157 + (2*t^8.272)/g1^64 + 3*g1^20*t^8.29 + 2*g1^104*t^8.308 + t^8.423/g1^26 + 4*g1^58*t^8.441 + (2*t^8.556)/g1^72 + 3*g1^12*t^8.574 + 4*g1^96*t^8.592 + (3*t^8.707)/g1^34 + 4*g1^50*t^8.725 + t^8.84/g1^80 + 3*g1^4*t^8.858 + 5*g1^88*t^8.876 + (4*t^8.991)/g1^42 - t^4.571/(g1^2*y) - (g1^26*t^6.577)/y - t^6.994/(g1^28*y) + (g1^10*t^7.145)/y + (g1^48*t^7.296)/y + (2*g1^2*t^7.429)/y + t^7.562/(g1^44*y) + (g1^40*t^7.58)/y + (2*t^7.713)/(g1^6*y) + (2*g1^32*t^7.864)/y + (2*t^7.997)/(g1^14*y) + (3*g1^24*t^8.148)/y + (2*t^8.281)/(g1^22*y) + (4*g1^16*t^8.432)/y + (4*t^8.565)/(g1^30*y) - (g1^54*t^8.583)/y + (4*g1^8*t^8.716)/y + (3*t^8.849)/(g1^38*y) + (g1^46*t^8.867)/y - (t^4.571*y)/g1^2 - g1^26*t^6.577*y - (t^6.994*y)/g1^28 + g1^10*t^7.145*y + g1^48*t^7.296*y + 2*g1^2*t^7.429*y + (t^7.562*y)/g1^44 + g1^40*t^7.58*y + (2*t^7.713*y)/g1^6 + 2*g1^32*t^7.864*y + (2*t^7.997*y)/g1^14 + 3*g1^24*t^8.148*y + (2*t^8.281*y)/g1^22 + 4*g1^16*t^8.432*y + (4*t^8.565*y)/g1^30 - g1^54*t^8.583*y + 4*g1^8*t^8.716*y + (3*t^8.849*y)/g1^38 + g1^46*t^8.867*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5093 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{8}$ | 0.6208 | 0.8111 | 0.7653 | [M:[1.2946, 0.7966, 0.9544, 1.1369, 0.8631, 0.7054, 0.6806, 1.1369], q:[0.307, 0.3983], qb:[0.7386, 0.4648], phi:[0.5228]] | t^2.042 + t^2.116 + t^2.315 + t^2.39 + t^2.863 + t^3.137 + 3*t^3.411 + t^3.685 + t^3.884 + t^4.083 + 2*t^4.158 + t^4.232 + 2*t^4.357 + 2*t^4.432 + t^4.506 + t^4.631 + t^4.705 + t^4.78 + t^4.905 + t^4.979 + 2*t^5.179 + 2*t^5.253 + 4*t^5.452 + 3*t^5.527 + 3*t^5.726 + 3*t^5.801 + t^5.926 - t^6. - t^4.568/y - t^4.568*y | detail | |
| 5094 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6534 | 0.8707 | 0.7504 | [M:[1.2903, 0.8029, 0.9534, 1.1398, 0.8602, 0.7097, 0.6738, 0.7097], q:[0.3082, 0.4014], qb:[0.7384, 0.4588], phi:[0.5233]] | t^2.022 + 2*t^2.129 + t^2.301 + t^2.409 + t^2.581 + t^2.86 + t^3.14 + 2*t^3.419 + t^3.699 + t^4.043 + 3*t^4.151 + 3*t^4.258 + 2*t^4.323 + 3*t^4.43 + 2*t^4.538 + 2*t^4.602 + 3*t^4.71 + t^4.817 + 2*t^4.882 + 3*t^4.989 + 3*t^5.161 + 3*t^5.269 + 4*t^5.441 + 4*t^5.548 + 3*t^5.72 + 3*t^5.828 - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2111 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6123 | 0.7909 | 0.7741 | [M:[1.2873, 0.8072, 0.9527, 1.1418, 0.8582, 0.7127], q:[0.3091, 0.4036], qb:[0.7382, 0.4546], phi:[0.5236]] | t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. - t^4.571/y - t^4.571*y | detail |