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 |
|---|---|---|---|---|---|---|---|---|---|
| 4089 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6719 | 0.8383 | 0.8015 | [M:[1.1688, 1.1082, 0.9524, 1.0, 0.8312, 0.7836, 1.0476, 0.6754], q:[0.7771, 0.4394], qb:[0.3918, 0.6082], phi:[0.4459]] | [M:[[-3], [4], [-11], [0], [3], [-8], [11], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.026 + t^2.351 + t^2.493 + t^3. + t^3.143 + t^3.325 + t^3.507 + t^3.688 + t^3.831 + t^4.052 + t^4.156 + t^4.338 + t^4.377 + t^4.48 + t^4.52 + t^4.701 + t^4.844 + 2*t^4.987 + t^5.026 + t^5.169 + t^5.351 + t^5.493 + t^5.533 + t^5.636 + t^5.675 + t^5.714 + t^5.818 + t^5.857 - t^6. + t^6.039 + t^6.078 + 2*t^6.182 + t^6.286 + t^6.325 + t^6.364 + t^6.403 + t^6.467 + t^6.507 + t^6.546 + t^6.649 + t^6.688 + t^6.727 + 2*t^6.831 + t^6.87 + t^6.974 + 2*t^7.013 + 2*t^7.052 + 2*t^7.195 + t^7.338 + 2*t^7.377 + 2*t^7.48 + 2*t^7.52 + t^7.559 + t^7.623 + 2*t^7.662 + t^7.701 + t^7.741 + t^7.844 + t^7.883 + t^7.987 + t^8.026 + t^8.065 + t^8.104 + t^8.13 + t^8.169 + 2*t^8.208 + 2*t^8.312 - t^8.351 + 2*t^8.39 + t^8.429 - t^8.493 + 2*t^8.533 + t^8.572 + 2*t^8.675 + t^8.714 + t^8.754 + t^8.779 + t^8.818 + t^8.857 + t^8.896 + t^8.961 - t^4.338/y - t^6.364/y - t^6.688/y + t^7.377/y + t^7.52/y + t^7.844/y + t^7.987/y + t^8.026/y + t^8.169/y + t^8.312/y + (2*t^8.351)/y - t^8.39/y + (2*t^8.493)/y + t^8.533/y + t^8.636/y + t^8.675/y + t^8.818/y + (2*t^8.857)/y - t^4.338*y - t^6.364*y - t^6.688*y + t^7.377*y + t^7.52*y + t^7.844*y + t^7.987*y + t^8.026*y + t^8.169*y + t^8.312*y + 2*t^8.351*y - t^8.39*y + 2*t^8.493*y + t^8.533*y + t^8.636*y + t^8.675*y + t^8.818*y + 2*t^8.857*y | t^2.026/g1^12 + t^2.351/g1^8 + g1^3*t^2.493 + t^3. + g1^11*t^3.143 + g1^4*t^3.325 + t^3.507/g1^3 + t^3.688/g1^10 + g1*t^3.831 + t^4.052/g1^24 + g1^5*t^4.156 + t^4.338/g1^2 + t^4.377/g1^20 + g1^9*t^4.48 + t^4.52/g1^9 + t^4.701/g1^16 + t^4.844/g1^5 + 2*g1^6*t^4.987 + t^5.026/g1^12 + t^5.169/g1 + t^5.351/g1^8 + g1^3*t^5.493 + t^5.533/g1^15 + g1^14*t^5.636 + t^5.675/g1^4 + t^5.714/g1^22 + g1^7*t^5.818 + t^5.857/g1^11 - t^6. + t^6.039/g1^18 + t^6.078/g1^36 + (2*t^6.182)/g1^7 + g1^22*t^6.286 + g1^4*t^6.325 + t^6.364/g1^14 + t^6.403/g1^32 + g1^15*t^6.467 + t^6.507/g1^3 + t^6.546/g1^21 + g1^8*t^6.649 + t^6.688/g1^10 + t^6.727/g1^28 + 2*g1*t^6.831 + t^6.87/g1^17 + g1^12*t^6.974 + (2*t^7.013)/g1^6 + (2*t^7.052)/g1^24 + (2*t^7.195)/g1^13 + t^7.338/g1^2 + (2*t^7.377)/g1^20 + 2*g1^9*t^7.48 + (2*t^7.52)/g1^9 + t^7.559/g1^27 + g1^20*t^7.623 + 2*g1^2*t^7.662 + t^7.701/g1^16 + t^7.741/g1^34 + t^7.844/g1^5 + t^7.883/g1^23 + g1^6*t^7.987 + t^8.026/g1^12 + t^8.065/g1^30 + t^8.104/g1^48 + g1^17*t^8.13 + t^8.169/g1 + (2*t^8.208)/g1^19 + 2*g1^10*t^8.312 - t^8.351/g1^8 + (2*t^8.39)/g1^26 + t^8.429/g1^44 - g1^3*t^8.493 + (2*t^8.533)/g1^15 + t^8.572/g1^33 + (2*t^8.675)/g1^4 + t^8.714/g1^22 + t^8.754/g1^40 + g1^25*t^8.779 + g1^7*t^8.818 + t^8.857/g1^11 + t^8.896/g1^29 + g1^18*t^8.961 - t^4.338/(g1^2*y) - t^6.364/(g1^14*y) - t^6.688/(g1^10*y) + t^7.377/(g1^20*y) + t^7.52/(g1^9*y) + t^7.844/(g1^5*y) + (g1^6*t^7.987)/y + t^8.026/(g1^12*y) + t^8.169/(g1*y) + (g1^10*t^8.312)/y + (2*t^8.351)/(g1^8*y) - t^8.39/(g1^26*y) + (2*g1^3*t^8.493)/y + t^8.533/(g1^15*y) + (g1^14*t^8.636)/y + t^8.675/(g1^4*y) + (g1^7*t^8.818)/y + (2*t^8.857)/(g1^11*y) - (t^4.338*y)/g1^2 - (t^6.364*y)/g1^14 - (t^6.688*y)/g1^10 + (t^7.377*y)/g1^20 + (t^7.52*y)/g1^9 + (t^7.844*y)/g1^5 + g1^6*t^7.987*y + (t^8.026*y)/g1^12 + (t^8.169*y)/g1 + g1^10*t^8.312*y + (2*t^8.351*y)/g1^8 - (t^8.39*y)/g1^26 + 2*g1^3*t^8.493*y + (t^8.533*y)/g1^15 + g1^14*t^8.636*y + (t^8.675*y)/g1^4 + g1^7*t^8.818*y + (2*t^8.857*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 |
|---|---|---|---|---|---|---|---|---|
| 5616 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{9}$ | 0.6865 | 0.8633 | 0.7952 | [M:[1.1713, 1.105, 0.9613, 1.0, 0.8287, 0.79, 1.0387, 0.685, 0.8287], q:[0.7762, 0.4337], qb:[0.395, 0.605], phi:[0.4475]] | t^2.055 + t^2.37 + 2*t^2.486 + t^3. + t^3.116 + t^3.315 + t^3.713 + t^3.829 + t^4.11 + t^4.144 + t^4.343 + t^4.425 + t^4.459 + 2*t^4.541 + t^4.74 + 2*t^4.856 + 4*t^4.972 + t^5.055 + t^5.171 + t^5.37 + 2*t^5.486 + 2*t^5.602 + t^5.685 + t^5.768 + 2*t^5.801 - 2*t^6. - t^4.343/y - t^4.343*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1617 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6511 | 0.7974 | 0.8166 | [M:[1.1698, 1.1069, 0.956, 1.0, 0.8302, 0.7862, 1.044], q:[0.7767, 0.4371], qb:[0.3931, 0.6069], phi:[0.4465]] | t^2.358 + t^2.491 + t^3. + t^3.132 + t^3.321 + t^3.509 + t^3.698 + t^3.83 + t^3.962 + t^4.151 + t^4.34 + t^4.472 + t^4.717 + t^4.849 + 2*t^4.981 + t^5.491 + t^5.623 + t^5.679 + t^5.811 - t^6. - t^4.34/y - t^4.34*y | detail |