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 |
|---|---|---|---|---|---|---|---|---|---|
| 445 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ | 0.6501 | 0.7927 | 0.8201 | [M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | [M:[[0], [-3], [-11], [3]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.538 + t^2.615 + t^2.693 + t^3. + t^3.462 + t^3.539 + t^3.769 + t^3.846 + t^4.154 + t^4.231 + t^4.308 + t^4.615 + 2*t^5.077 + t^5.154 + t^5.231 + t^5.308 + t^5.385 + t^5.615 - t^6. + t^6.077 + 2*t^6.154 + t^6.231 + t^6.385 + t^6.462 + t^6.539 + t^6.692 + t^6.769 + t^6.846 + t^6.923 + t^7. + t^7.077 + t^7.154 + t^7.231 + t^7.308 + t^7.385 + 2*t^7.615 + 3*t^7.692 + 2*t^7.769 + 2*t^7.846 + t^7.923 + t^7.924 + t^8. + t^8.001 + t^8.077 + t^8.078 + t^8.307 + t^8.384 - t^8.538 - t^8.693 + t^8.769 + t^8.77 + t^8.846 + 2*t^8.847 + t^8.924 - t^4.308/y - t^6.923/y - t^7./y + t^7.615/y + t^7.692/y + t^8.154/y + t^8.231/y + t^8.308/y + t^8.538/y + t^8.615/y + t^8.693/y - t^4.308*y - t^6.923*y - t^7.*y + t^7.615*y + t^7.692*y + t^8.154*y + t^8.231*y + t^8.308*y + t^8.538*y + t^8.615*y + t^8.693*y | g1^3*t^2.538 + t^2.615/g1^4 + t^2.693/g1^11 + t^3. + t^3.462/g1^3 + t^3.539/g1^10 + g1^8*t^3.769 + g1*t^3.846 + g1^12*t^4.154 + g1^5*t^4.231 + t^4.308/g1^2 + g1^9*t^4.615 + 2*g1^6*t^5.077 + t^5.154/g1 + t^5.231/g1^8 + t^5.308/g1^15 + t^5.385/g1^22 + t^5.615/g1^4 - t^6. + t^6.077/g1^7 + (2*t^6.154)/g1^14 + t^6.231/g1^21 + g1^4*t^6.385 + t^6.462/g1^3 + t^6.539/g1^10 + g1^15*t^6.692 + g1^8*t^6.769 + g1*t^6.846 + t^6.923/g1^6 + t^7./g1^13 + t^7.077/g1^20 + g1^12*t^7.154 + g1^5*t^7.231 + t^7.308/g1^2 + t^7.385/g1^9 + 2*g1^9*t^7.615 + 3*g1^2*t^7.692 + (2*t^7.769)/g1^5 + (2*t^7.846)/g1^12 + g1^20*t^7.923 + t^7.924/g1^19 + g1^13*t^8. + t^8.001/g1^26 + g1^6*t^8.077 + t^8.078/g1^33 + g1^24*t^8.307 + g1^17*t^8.384 - g1^3*t^8.538 - t^8.693/g1^11 + g1^21*t^8.769 + t^8.77/g1^18 + g1^14*t^8.846 + (2*t^8.847)/g1^25 + t^8.924/g1^32 - t^4.308/(g1^2*y) - t^6.923/(g1^6*y) - t^7./(g1^13*y) + (g1^9*t^7.615)/y + (g1^2*t^7.692)/y + t^8.154/(g1*y) + t^8.231/(g1^8*y) + t^8.308/(g1^15*y) + (g1^3*t^8.538)/y + t^8.615/(g1^4*y) + t^8.693/(g1^11*y) - (t^4.308*y)/g1^2 - (t^6.923*y)/g1^6 - (t^7.*y)/g1^13 + g1^9*t^7.615*y + g1^2*t^7.692*y + (t^8.154*y)/g1 + (t^8.231*y)/g1^8 + (t^8.308*y)/g1^15 + g1^3*t^8.538*y + (t^8.615*y)/g1^4 + (t^8.693*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 745 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ | 0.6636 | 0.816 | 0.8132 | [M:[1.0, 1.1577, 0.9114, 0.8423, 0.8423], q:[0.7808, 0.3769], qb:[0.6231, 0.4655], phi:[0.4384]] | 2*t^2.527 + t^2.631 + t^2.734 + t^3. + t^3.577 + t^3.739 + t^3.842 + t^4.108 + t^4.212 + t^4.315 + t^4.581 + 4*t^5.054 + 2*t^5.158 + 2*t^5.261 + t^5.365 + t^5.468 + t^5.527 + t^5.631 - 2*t^6. - t^4.315/y - t^4.315*y | detail | |
| 744 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ | 0.6427 | 0.7847 | 0.819 | [M:[1.0, 1.1818, 1.0, 0.8182], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.455 + t^2.727 + 2*t^3. + 2*t^3.545 + 3*t^3.818 + t^4.091 + 2*t^4.364 + 2*t^4.909 + t^5.182 + t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 6843/10648, c: 16711/21296, M1: 1, M2: 13/11, M3: 1, M4: 9/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
| 749 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6702 | 0.8305 | 0.807 | [M:[1.0, 1.1534, 0.8959, 0.8466, 0.7178], q:[0.7822, 0.3712], qb:[0.6288, 0.4754], phi:[0.4356]] | t^2.153 + t^2.54 + t^2.614 + t^2.688 + t^3. + t^3.46 + t^3.534 + t^3.773 + t^4.159 + t^4.233 + 2*t^4.307 + t^4.619 + t^4.693 + t^4.767 + t^4.841 + 2*t^5.079 + 2*t^5.153 + t^5.227 + t^5.301 + t^5.375 + 2*t^5.614 + t^5.688 + t^5.926 - t^6. - t^4.307/y - t^4.307*y | detail | |
| 746 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6663 | 0.822 | 0.8106 | [M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | t^2.364 + t^2.509 + t^2.654 + t^2.8 + t^3. + t^3.491 + t^3.691 + t^3.836 + t^4.037 + t^4.182 + t^4.327 + t^4.528 + t^4.728 + t^4.873 + 3*t^5.018 + 2*t^5.164 + t^5.309 + t^5.364 + t^5.454 + t^5.599 + t^5.654 + t^5.855 - t^6. - t^4.327/y - t^4.327*y | detail | |
| 748 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6696 | 0.8291 | 0.8076 | [M:[1.0, 1.1494, 0.881, 0.8506, 0.7316], q:[0.7835, 0.3658], qb:[0.6342, 0.4848], phi:[0.4329]] | t^2.195 + t^2.552 + t^2.597 + t^2.643 + t^3. + t^3.448 + t^3.494 + t^3.851 + t^4.208 + t^4.253 + t^4.299 + t^4.39 + t^4.656 + t^4.747 + t^4.792 + t^4.838 + 2*t^5.104 + t^5.149 + 2*t^5.195 + t^5.24 + t^5.286 + t^5.597 + t^5.643 + t^5.688 - t^6. - t^4.299/y - t^4.299*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 |
|---|---|---|---|---|---|---|---|---|---|
| 272 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.7075 | 0.8653 | 0.8176 | [M:[1.0, 0.8667, 0.8739, 0.6921], q:[0.8042, 0.5036], qb:[0.4964, 0.6297], phi:[0.3915]] | t^2.076 + t^2.349 + t^2.6 + t^2.622 + t^3. + t^3.902 + 2*t^4.153 + t^4.175 + t^4.196 + t^4.302 + t^4.426 + t^4.553 + t^4.574 + t^4.677 + 2*t^4.698 + t^4.949 + t^4.953 + t^4.971 + t^5.076 + t^5.2 + t^5.222 + t^5.244 + t^5.349 - 2*t^6. - t^4.175/y - t^4.175*y | detail |