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 |
|---|---|---|---|---|---|---|---|---|---|
| 3227 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.6682 | 0.8635 | 0.7738 | [M:[1.1252, 0.7495, 0.75, 0.8752, 0.8748], q:[0.75, 0.3748], qb:[0.5, 0.3752], phi:[0.5]] | [M:[[1], [-2], [0], [1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{5}q_{1}\tilde{q}_{2}$ | 0 | t^2.249 + 2*t^2.25 + t^2.624 + 2*t^2.626 + t^3. + t^3.376 + t^3.749 + t^3.75 + t^4.124 + t^4.126 + t^4.497 + 2*t^4.499 + 4*t^4.5 + t^4.873 + 4*t^4.874 + 4*t^4.876 + 2*t^5.249 + 4*t^5.25 + 3*t^5.251 + t^5.624 + 3*t^5.626 + t^5.997 + 2*t^5.999 + t^6.001 + 2*t^6.373 + 3*t^6.374 + 2*t^6.376 + t^6.746 + 2*t^6.747 + 5*t^6.749 + 6*t^6.75 + 2*t^6.751 + t^7.121 + 4*t^7.123 + 6*t^7.124 + 6*t^7.126 + 3*t^7.497 + 5*t^7.499 + 7*t^7.5 + 5*t^7.501 + 3*t^7.873 + 3*t^7.874 + 6*t^7.876 + 4*t^7.877 + t^8.246 + 2*t^8.247 + 2*t^8.249 - t^8.25 + 3*t^8.251 + 2*t^8.621 + 4*t^8.623 + t^8.624 - 2*t^8.626 + t^8.627 + t^8.994 + 2*t^8.996 + 6*t^8.997 + 7*t^8.999 - t^4.5/y - t^6.749/y - t^6.75/y - t^7.126/y + (2*t^7.499)/y + t^7.5/y + t^7.873/y + (5*t^7.874)/y + (4*t^7.876)/y + t^8.249/y + (5*t^8.25)/y + (2*t^8.251)/y + (2*t^8.624)/y + (4*t^8.626)/y + (2*t^8.999)/y - t^4.5*y - t^6.749*y - t^6.75*y - t^7.126*y + 2*t^7.499*y + t^7.5*y + t^7.873*y + 5*t^7.874*y + 4*t^7.876*y + t^8.249*y + 5*t^8.25*y + 2*t^8.251*y + 2*t^8.624*y + 4*t^8.626*y + 2*t^8.999*y | t^2.249/g1^2 + 2*t^2.25 + t^2.624/g1 + 2*g1*t^2.626 + t^3. + g1*t^3.376 + t^3.749/g1^2 + t^3.75 + t^4.124/g1 + g1*t^4.126 + t^4.497/g1^4 + (2*t^4.499)/g1^2 + 4*t^4.5 + t^4.873/g1^3 + (4*t^4.874)/g1 + 4*g1*t^4.876 + (2*t^5.249)/g1^2 + 4*t^5.25 + 3*g1^2*t^5.251 + t^5.624/g1 + 3*g1*t^5.626 + t^5.997/g1^4 + (2*t^5.999)/g1^2 + g1^2*t^6.001 + (2*t^6.373)/g1^3 + (3*t^6.374)/g1 + 2*g1*t^6.376 + t^6.746/g1^6 + (2*t^6.747)/g1^4 + (5*t^6.749)/g1^2 + 6*t^6.75 + 2*g1^2*t^6.751 + t^7.121/g1^5 + (4*t^7.123)/g1^3 + (6*t^7.124)/g1 + 6*g1*t^7.126 + (3*t^7.497)/g1^4 + (5*t^7.499)/g1^2 + 7*t^7.5 + 5*g1^2*t^7.501 + (3*t^7.873)/g1^3 + (3*t^7.874)/g1 + 6*g1*t^7.876 + 4*g1^3*t^7.877 + t^8.246/g1^6 + (2*t^8.247)/g1^4 + (2*t^8.249)/g1^2 - t^8.25 + 3*g1^2*t^8.251 + (2*t^8.621)/g1^5 + (4*t^8.623)/g1^3 + t^8.624/g1 - 2*g1*t^8.626 + g1^3*t^8.627 + t^8.994/g1^8 + (2*t^8.996)/g1^6 + (6*t^8.997)/g1^4 + (7*t^8.999)/g1^2 - t^4.5/y - t^6.749/(g1^2*y) - t^6.75/y - (g1*t^7.126)/y + (2*t^7.499)/(g1^2*y) + t^7.5/y + t^7.873/(g1^3*y) + (5*t^7.874)/(g1*y) + (4*g1*t^7.876)/y + t^8.249/(g1^2*y) + (5*t^8.25)/y + (2*g1^2*t^8.251)/y + (2*t^8.624)/(g1*y) + (4*g1*t^8.626)/y + (2*t^8.999)/(g1^2*y) - t^4.5*y - (t^6.749*y)/g1^2 - t^6.75*y - g1*t^7.126*y + (2*t^7.499*y)/g1^2 + t^7.5*y + (t^7.873*y)/g1^3 + (5*t^7.874*y)/g1 + 4*g1*t^7.876*y + (t^8.249*y)/g1^2 + 5*t^8.25*y + 2*g1^2*t^8.251*y + (2*t^8.624*y)/g1 + 4*g1*t^8.626*y + (2*t^8.999*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3646 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6876 | 0.8992 | 0.7647 | [M:[1.1147, 0.7706, 0.75, 0.8647, 0.8853, 0.7294], q:[0.75, 0.3853], qb:[0.5, 0.3647], phi:[0.5]] | t^2.188 + 2*t^2.25 + t^2.312 + 2*t^2.594 + t^2.656 + t^3. + t^3.344 + t^3.75 + t^4.094 + t^4.156 + t^4.376 + 2*t^4.438 + 5*t^4.5 + 2*t^4.562 + t^4.624 + 2*t^4.782 + 5*t^4.844 + 4*t^4.906 + t^4.968 + 4*t^5.188 + 4*t^5.25 + 2*t^5.312 + t^5.532 + 3*t^5.594 + t^5.656 + 2*t^5.938 - t^4.5/y - t^4.5*y | detail | |
| 3647 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6872 | 0.8981 | 0.7651 | [M:[1.1252, 0.7495, 0.75, 0.8752, 0.8748, 0.75], q:[0.75, 0.3748], qb:[0.5, 0.3752], phi:[0.5]] | t^2.249 + 3*t^2.25 + t^2.624 + 2*t^2.626 + t^3. + t^3.376 + t^3.749 + t^4.124 + t^4.126 + t^4.497 + 3*t^4.499 + 7*t^4.5 + t^4.873 + 5*t^4.874 + 6*t^4.876 + 2*t^5.249 + 5*t^5.25 + 3*t^5.251 + t^5.624 + 4*t^5.626 + t^5.997 + 2*t^5.999 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 3645 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6798 | 0.8846 | 0.7686 | [M:[1.1378, 0.7244, 0.75, 0.8878, 0.8622, 0.8622], q:[0.75, 0.3622], qb:[0.5, 0.3878], phi:[0.5]] | t^2.173 + 2*t^2.25 + 2*t^2.587 + 2*t^2.663 + t^3. + t^3.673 + t^3.75 + t^4.087 + t^4.163 + t^4.347 + 2*t^4.423 + 4*t^4.5 + 2*t^4.76 + 6*t^4.837 + 4*t^4.913 + 4*t^5.173 + 6*t^5.25 + 3*t^5.327 + t^5.587 + t^5.663 + t^5.847 + 2*t^5.923 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2717 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6575 | 0.845 | 0.7781 | [M:[1.1114, 0.7771, 0.75, 0.8614], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | 2*t^2.25 + t^2.331 + 2*t^2.584 + t^3. + 2*t^3.334 + t^3.75 + t^3.831 + t^4.084 + t^4.166 + 4*t^4.5 + 2*t^4.581 + t^4.663 + 4*t^4.834 + 2*t^4.916 + 3*t^5.169 + 2*t^5.25 + t^5.331 + 5*t^5.584 + t^5.666 + 3*t^5.919 - t^6. - t^4.5/y - t^4.5*y | detail |