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 |
|---|---|---|---|---|---|---|---|---|---|
| 51657 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6581 | 0.8456 | 0.7783 | [M:[1.1466, 1.1178, 0.7068, 0.7644, 0.8822, 0.8822], q:[0.4856, 0.3678], qb:[0.3966, 0.75], phi:[0.5]] | [M:[[3], [-1], [-6], [2], [1], [1]], q:[[-2], [-1]], qb:[[3], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.12 + 2*t^2.293 + 2*t^2.647 + t^3. + 2*t^3.44 + t^3.707 + t^3.793 + t^4.06 + t^4.147 + t^4.241 + 3*t^4.414 + 3*t^4.586 + 2*t^4.767 + 4*t^4.94 + t^5.12 + 5*t^5.293 + 2*t^5.56 + t^5.647 + 3*t^5.733 + t^5.827 - t^6. + 5*t^6.086 + t^6.18 + t^6.353 + t^6.361 + 4*t^6.44 + 3*t^6.534 + 5*t^6.707 + t^6.793 + 6*t^6.88 + 2*t^6.887 + 5*t^7.06 - t^7.147 + 6*t^7.233 + t^7.241 + 4*t^7.414 - t^7.5 + 9*t^7.586 + 2*t^7.68 + 3*t^7.853 + 5*t^7.94 + t^7.947 + 4*t^8.026 + 3*t^8.207 - 2*t^8.293 + t^8.301 + 7*t^8.38 + 2*t^8.474 + t^8.481 + t^8.56 - 6*t^8.647 + 3*t^8.654 + 10*t^8.733 + 6*t^8.827 - 2*t^8.914 - t^4.5/y - t^6.62/y - t^6.793/y + t^7.06/y - t^7.147/y + (2*t^7.414)/y + t^7.586/y + (2*t^7.767)/y + t^7.853/y + (3*t^7.94)/y + t^8.12/y + t^8.207/y + (3*t^8.293)/y + t^8.38/y + (2*t^8.56)/y + (2*t^8.647)/y + (4*t^8.733)/y - t^8.741/y + t^8.827/y - t^4.5*y - t^6.62*y - t^6.793*y + t^7.06*y - t^7.147*y + 2*t^7.414*y + t^7.586*y + 2*t^7.767*y + t^7.853*y + 3*t^7.94*y + t^8.12*y + t^8.207*y + 3*t^8.293*y + t^8.38*y + 2*t^8.56*y + 2*t^8.647*y + 4*t^8.733*y - t^8.741*y + t^8.827*y | t^2.12/g1^6 + 2*g1^2*t^2.293 + 2*g1*t^2.647 + t^3. + 2*g1^3*t^3.44 + t^3.707/g1^2 + g1^2*t^3.793 + t^4.06/g1^3 + g1*t^4.147 + t^4.241/g1^12 + (3*t^4.414)/g1^4 + 3*g1^4*t^4.586 + (2*t^4.767)/g1^5 + 4*g1^3*t^4.94 + t^5.12/g1^6 + 5*g1^2*t^5.293 + (2*t^5.56)/g1^3 + g1*t^5.647 + 3*g1^5*t^5.733 + t^5.827/g1^8 - t^6. + 5*g1^4*t^6.086 + t^6.18/g1^9 + t^6.353/g1 + t^6.361/g1^18 + 4*g1^3*t^6.44 + (3*t^6.534)/g1^10 + (5*t^6.707)/g1^2 + g1^2*t^6.793 + 6*g1^6*t^6.88 + (2*t^6.887)/g1^11 + (5*t^7.06)/g1^3 - g1*t^7.147 + 6*g1^5*t^7.233 + t^7.241/g1^12 + (4*t^7.414)/g1^4 - t^7.5 + 9*g1^4*t^7.586 + (2*t^7.68)/g1^9 + (3*t^7.853)/g1 + 5*g1^3*t^7.94 + t^7.947/g1^14 + 4*g1^7*t^8.026 + (3*t^8.207)/g1^2 - 2*g1^2*t^8.293 + t^8.301/g1^15 + 7*g1^6*t^8.38 + (2*t^8.474)/g1^7 + t^8.481/g1^24 + t^8.56/g1^3 - 6*g1*t^8.647 + (3*t^8.654)/g1^16 + 10*g1^5*t^8.733 + (6*t^8.827)/g1^8 - (2*t^8.914)/g1^4 - t^4.5/y - t^6.62/(g1^6*y) - (g1^2*t^6.793)/y + t^7.06/(g1^3*y) - (g1*t^7.147)/y + (2*t^7.414)/(g1^4*y) + (g1^4*t^7.586)/y + (2*t^7.767)/(g1^5*y) + t^7.853/(g1*y) + (3*g1^3*t^7.94)/y + t^8.12/(g1^6*y) + t^8.207/(g1^2*y) + (3*g1^2*t^8.293)/y + (g1^6*t^8.38)/y + (2*t^8.56)/(g1^3*y) + (2*g1*t^8.647)/y + (4*g1^5*t^8.733)/y - t^8.741/(g1^12*y) + t^8.827/(g1^8*y) - t^4.5*y - (t^6.62*y)/g1^6 - g1^2*t^6.793*y + (t^7.06*y)/g1^3 - g1*t^7.147*y + (2*t^7.414*y)/g1^4 + g1^4*t^7.586*y + (2*t^7.767*y)/g1^5 + (t^7.853*y)/g1 + 3*g1^3*t^7.94*y + (t^8.12*y)/g1^6 + (t^8.207*y)/g1^2 + 3*g1^2*t^8.293*y + g1^6*t^8.38*y + (2*t^8.56*y)/g1^3 + 2*g1*t^8.647*y + 4*g1^5*t^8.733*y - (t^8.741*y)/g1^12 + (t^8.827*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56269 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6715 | 0.8691 | 0.7727 | [M:[1.1609, 1.113, 0.6782, 0.7739, 0.887, 0.887, 0.8391], q:[0.4761, 0.363], qb:[0.4109, 0.75], phi:[0.5]] | t^2.035 + 2*t^2.322 + t^2.517 + 2*t^2.661 + t^3. + t^3.483 + t^3.678 + t^3.822 + t^4.017 + t^4.069 + t^4.161 + 3*t^4.356 + t^4.552 + 3*t^4.644 + 2*t^4.696 + 2*t^4.839 + 4*t^4.983 + 2*t^5.035 + 2*t^5.178 + 5*t^5.322 + 2*t^5.517 + t^5.661 + t^5.713 + t^5.804 - t^4.5/y - t^4.5*y | detail | |
| 56268 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6398 | 0.8129 | 0.7871 | [M:[1.1531, 1.1156, 0.6938, 0.7687, 0.8844, 0.8844, 1.2313], q:[0.4813, 0.3656], qb:[0.4031, 0.75], phi:[0.5]] | t^2.081 + t^2.306 + 2*t^2.653 + t^3. + 2*t^3.459 + 2*t^3.694 + t^3.806 + t^4.041 + t^4.153 + t^4.163 + 2*t^4.388 + t^4.612 + 2*t^4.735 + 2*t^4.959 + t^5.081 + 4*t^5.306 + 2*t^5.541 + t^5.653 + t^5.765 + 2*t^5.775 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 56271 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6778 | 0.882 | 0.7685 | [M:[1.1511, 1.1163, 0.6978, 0.7674, 0.8837, 0.8837, 0.7326], q:[0.4826, 0.3663], qb:[0.4011, 0.75], phi:[0.5]] | t^2.094 + t^2.198 + 2*t^2.302 + 2*t^2.651 + t^3. + 2*t^3.453 + t^3.698 + t^4.047 + t^4.151 + t^4.187 + t^4.291 + 4*t^4.396 + 2*t^4.5 + 3*t^4.604 + 2*t^4.745 + 2*t^4.849 + 4*t^4.953 + t^5.094 + t^5.198 + 5*t^5.302 + 2*t^5.547 + 3*t^5.651 + 3*t^5.755 + t^5.791 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 56270 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6766 | 0.8791 | 0.7697 | [M:[1.1405, 1.1198, 0.719, 0.7603, 0.8802, 0.8802, 0.7603], q:[0.4897, 0.3698], qb:[0.3905, 0.75], phi:[0.5]] | t^2.157 + 3*t^2.281 + 2*t^2.641 + t^3. + 2*t^3.422 + t^3.781 + t^4.078 + t^4.141 + t^4.314 + 4*t^4.438 + 6*t^4.562 + 2*t^4.797 + 6*t^4.922 + t^5.157 + 6*t^5.281 + 2*t^5.578 + t^5.641 + 5*t^5.703 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47085 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6476 | 0.8279 | 0.7823 | [M:[1.1521, 1.116, 0.6958, 0.7681, 0.884], q:[0.4819, 0.366], qb:[0.4021, 0.75], phi:[0.5]] | t^2.087 + 2*t^2.304 + t^2.652 + t^3. + t^3.348 + 2*t^3.456 + t^3.696 + t^3.804 + t^4.044 + t^4.152 + t^4.175 + 3*t^4.392 + 3*t^4.608 + t^4.739 + 2*t^4.956 + t^5.087 + 3*t^5.304 + t^5.435 + 2*t^5.544 + 2*t^5.652 + 3*t^5.761 + t^5.783 - t^4.5/y - t^4.5*y | detail |