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 |
|---|---|---|---|---|---|---|---|---|---|
| 45948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | [M:[[1, -7], [-1, -11], [0, 4]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -4 | t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. + 2*t^6.295 - 2*t^6.433 + 6*t^6.59 + 4*t^6.884 + 2*t^7.023 + 3*t^7.318 + t^7.457 + 4*t^7.613 + 2*t^7.751 + 6*t^7.908 + 3*t^8.046 + t^8.185 + 2*t^8.341 + 2*t^8.48 - 4*t^8.636 + 2*t^8.774 + 4*t^8.792 + t^8.913 - 8*t^8.931 - t^4.318/y - (2*t^7.249)/y + (2*t^7.387)/y + (2*t^8.567)/y + t^8.861/y - t^4.318*y - 2*t^7.249*y + 2*t^7.387*y + 2*t^8.567*y + t^8.861*y | t^2.636/g2^4 + t^2.931/(g1*g2^11) + (g1*t^2.931)/g2^7 + g2^4*t^3.364 + t^3.659/(g1*g2^3) + g1*g2*t^3.659 + t^3.954/(g1^2*g2^10) + t^3.954/g2^6 + (g1^2*t^3.954)/g2^2 + g2^12*t^4.092 + (g2^5*t^4.387)/g1 + g1*g2^9*t^4.387 + g2^20*t^4.821 + t^5.272/g2^8 + t^5.861/(g1^2*g2^22) + t^5.861/g2^18 + (g1^2*t^5.861)/g2^14 - 2*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + t^6.295/(g1*g2^7) + (g1*t^6.295)/g2^3 - (g2^11*t^6.433)/g1 - g1*g2^15*t^6.433 + (2*t^6.59)/(g1^2*g2^14) + (2*t^6.59)/g2^10 + (2*g1^2*t^6.59)/g2^6 + t^6.884/(g1^3*g2^21) + t^6.884/(g1*g2^17) + (g1*t^6.884)/g2^13 + (g1^3*t^6.884)/g2^9 + (g2*t^7.023)/g1 + g1*g2^5*t^7.023 + t^7.318/(g1^2*g2^6) + t^7.318/g2^2 + g1^2*g2^2*t^7.318 + g2^16*t^7.457 + t^7.613/(g1^3*g2^13) + t^7.613/(g1*g2^9) + (g1*t^7.613)/g2^5 + (g1^3*t^7.613)/g2 + (g2^9*t^7.751)/g1 + g1*g2^13*t^7.751 + t^7.908/(g1^4*g2^20) + t^7.908/(g1^2*g2^16) + (2*t^7.908)/g2^12 + (g1^2*t^7.908)/g2^8 + (g1^4*t^7.908)/g2^4 + (g2^2*t^8.046)/g1^2 + g2^6*t^8.046 + g1^2*g2^10*t^8.046 + g2^24*t^8.185 + t^8.341/(g1^3*g2^5) + g1^3*g2^7*t^8.341 + (g2^17*t^8.48)/g1 + g1*g2^21*t^8.48 - g1^2*t^8.636 - t^8.636/(g1^2*g2^8) - (2*t^8.636)/g2^4 + (g2^10*t^8.774)/g1^2 + g1^2*g2^18*t^8.774 + t^8.792/(g1^3*g2^33) + t^8.792/(g1*g2^29) + (g1*t^8.792)/g2^25 + (g1^3*t^8.792)/g2^21 + g2^32*t^8.913 - t^8.931/(g1^3*g2^15) - (3*t^8.931)/(g1*g2^11) - (3*g1*t^8.931)/g2^7 - (g1^3*t^8.931)/g2^3 - t^4.318/(g2^2*y) - t^7.249/(g1*g2^13*y) - (g1*t^7.249)/(g2^9*y) + (g2^5*t^7.387)/(g1*y) + (g1*g2^9*t^7.387)/y + t^8.567/(g1*g2^15*y) + (g1*t^8.567)/(g2^11*y) + t^8.861/(g2^18*y) - (t^4.318*y)/g2^2 - (t^7.249*y)/(g1*g2^13) - (g1*t^7.249*y)/g2^9 + (g2^5*t^7.387*y)/g1 + g1*g2^9*t^7.387*y + (t^8.567*y)/(g1*g2^15) + (g1*t^8.567*y)/g2^11 + (t^8.861*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46137 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6492 | 0.7814 | 0.8308 | [M:[0.9817, 1.0, 1.1152], q:[0.5667, 0.4515], qb:[0.4333, 0.7788], phi:[0.4424]] | t^2.654 + t^2.945 + t^3. + t^3.346 + t^3.636 + t^3.691 + t^3.927 + t^3.982 + 2*t^4.037 + t^4.327 + t^4.382 + t^4.728 + t^5.309 + t^5.89 - t^6. - t^4.327/y - t^4.327*y | detail | |
| 46342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6607 | 0.8017 | 0.8242 | [M:[0.9624, 0.9624, 1.1278, 0.8722], q:[0.6015, 0.4361], qb:[0.4361, 0.782], phi:[0.4361]] | 2*t^2.617 + 2*t^2.887 + 2*t^3.654 + 3*t^3.925 + t^4.15 + 2*t^4.421 + t^4.917 + 3*t^5.233 + 2*t^5.504 + 3*t^5.774 - 5*t^6. - t^4.308/y - t^4.308*y | detail | |
| 46331 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]] | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. - t^4.319/y - t^4.319*y | detail | |
| 46136 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9809, 0.9756, 1.1208, 0.6759], q:[0.5821, 0.437], qb:[0.4423, 0.7802], phi:[0.4396]] | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^4.319/y - t^4.319*y | detail | |
| 46238 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9667, 0.9917, 1.1204, 0.7676], q:[0.581, 0.4523], qb:[0.4273, 0.7801], phi:[0.4398]] | t^2.303 + t^2.639 + t^2.9 + t^2.975 + t^3.361 + t^3.622 + t^3.883 + t^3.958 + t^4.033 + t^4.083 + t^4.344 + t^4.419 + t^4.605 + t^4.805 + t^4.942 + t^5.203 + 2*t^5.278 + t^5.664 + t^5.8 + t^5.875 + t^5.95 - 2*t^6. - t^4.319/y - t^4.319*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.7047 | 0.8479 | 0.8312 | [M:[0.8283, 0.8283, 0.8283], q:[0.5858, 0.5858], qb:[0.5858, 0.8225], phi:[0.355]] | t^2.13 + 3*t^2.485 + 3*t^4.225 + t^4.26 + 6*t^4.58 + 3*t^4.615 + 6*t^4.97 - 9*t^6. - t^4.065/y - t^4.065*y | detail |