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 |
|---|---|---|---|---|---|---|---|---|---|
| 169 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] | [M:[[-7, 1], [4, 0], [-11, -1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -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/g1^4 + t^2.931/(g1^11*g2) + (g2*t^2.931)/g1^7 + g1^4*t^3.364 + t^3.659/(g1^3*g2) + g1*g2*t^3.659 + t^3.954/g1^6 + t^3.954/(g1^10*g2^2) + (g2^2*t^3.954)/g1^2 + g1^12*t^4.092 + (g1^5*t^4.387)/g2 + g1^9*g2*t^4.387 + g1^20*t^4.821 + t^5.272/g1^8 + t^5.861/g1^18 + t^5.861/(g1^22*g2^2) + (g2^2*t^5.861)/g1^14 - 2*t^6. - t^6./(g1^4*g2^2) - g1^4*g2^2*t^6. + t^6.295/(g1^7*g2) + (g2*t^6.295)/g1^3 - (g1^11*t^6.433)/g2 - g1^15*g2*t^6.433 + (2*t^6.59)/g1^10 + (2*t^6.59)/(g1^14*g2^2) + (2*g2^2*t^6.59)/g1^6 + t^6.884/(g1^21*g2^3) + t^6.884/(g1^17*g2) + (g2*t^6.884)/g1^13 + (g2^3*t^6.884)/g1^9 + (g1*t^7.023)/g2 + g1^5*g2*t^7.023 + t^7.318/g1^2 + t^7.318/(g1^6*g2^2) + g1^2*g2^2*t^7.318 + g1^16*t^7.457 + t^7.613/(g1^13*g2^3) + t^7.613/(g1^9*g2) + (g2*t^7.613)/g1^5 + (g2^3*t^7.613)/g1 + (g1^9*t^7.751)/g2 + g1^13*g2*t^7.751 + (2*t^7.908)/g1^12 + t^7.908/(g1^20*g2^4) + t^7.908/(g1^16*g2^2) + (g2^2*t^7.908)/g1^8 + (g2^4*t^7.908)/g1^4 + g1^6*t^8.046 + (g1^2*t^8.046)/g2^2 + g1^10*g2^2*t^8.046 + g1^24*t^8.185 + t^8.341/(g1^5*g2^3) + g1^7*g2^3*t^8.341 + (g1^17*t^8.48)/g2 + g1^21*g2*t^8.48 - (2*t^8.636)/g1^4 - t^8.636/(g1^8*g2^2) - g2^2*t^8.636 + (g1^10*t^8.774)/g2^2 + g1^18*g2^2*t^8.774 + t^8.792/(g1^33*g2^3) + t^8.792/(g1^29*g2) + (g2*t^8.792)/g1^25 + (g2^3*t^8.792)/g1^21 + g1^32*t^8.913 - t^8.931/(g1^15*g2^3) - (3*t^8.931)/(g1^11*g2) - (3*g2*t^8.931)/g1^7 - (g2^3*t^8.931)/g1^3 - t^4.318/(g1^2*y) - t^7.249/(g1^13*g2*y) - (g2*t^7.249)/(g1^9*y) + (g1^5*t^7.387)/(g2*y) + (g1^9*g2*t^7.387)/y + t^8.567/(g1^15*g2*y) + (g2*t^8.567)/(g1^11*y) + t^8.861/(g1^18*y) - (t^4.318*y)/g1^2 - (t^7.249*y)/(g1^13*g2) - (g2*t^7.249*y)/g1^9 + (g1^5*t^7.387*y)/g2 + g1^9*g2*t^7.387*y + (t^8.567*y)/(g1^15*g2) + (g2*t^8.567*y)/g1^11 + (t^8.861*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 263 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.6492 | 0.7814 | 0.8308 | [M:[1.0, 1.1152, 0.9817], q:[0.7788, 0.4333], qb:[0.5667, 0.4515], 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 | |
| 264 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6607 | 0.8017 | 0.8242 | [M:[0.9624, 1.1278, 0.9624, 0.8722], q:[0.782, 0.4361], qb:[0.6015, 0.4361], 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 | |
| 262 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], 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 | |
| 266 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], 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 | |
| 265 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9917, 1.1204, 0.9667, 0.7676], q:[0.7801, 0.4273], qb:[0.581, 0.4523], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 107 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7047 | 0.8479 | 0.8312 | [M:[0.8283, 0.8283, 0.8283], q:[0.8225, 0.5858], qb:[0.5858, 0.5858], 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 |