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 |
|---|---|---|---|---|---|---|---|---|---|
| 4154 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7147 | 0.9187 | 0.7779 | [M:[0.9625, 1.0885, 1.1394, 0.8606, 0.6836, 0.7346, 0.8606, 0.6836], q:[0.7721, 0.5442], qb:[0.4933, 0.3673], phi:[0.4558]] | [M:[[13], [-4], [5], [-5], [3], [12], [-5], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$ | ${}$ | -2 | 2*t^2.051 + t^2.204 + 2*t^2.582 + t^2.735 + t^2.887 + t^3.265 + t^3.571 + 4*t^4.102 + 2*t^4.255 + t^4.327 + t^4.408 + t^4.48 + 5*t^4.633 + 4*t^4.786 + 3*t^4.938 + t^5.091 + 3*t^5.164 + 4*t^5.316 + 3*t^5.469 + 2*t^5.622 + 2*t^5.775 + t^5.847 - 2*t^6. + 7*t^6.153 + 5*t^6.306 + t^6.378 + 3*t^6.458 + t^6.531 + t^6.611 + 8*t^6.684 + 7*t^6.836 + 2*t^6.909 + 7*t^6.989 + 2*t^7.062 + 4*t^7.142 + 6*t^7.214 + t^7.295 + 9*t^7.367 + 7*t^7.52 + 7*t^7.673 + 2*t^7.745 + 4*t^7.826 + 2*t^7.898 + 2*t^7.979 - 2*t^8.051 + 9*t^8.204 - t^8.276 + 10*t^8.357 + 7*t^8.509 - 6*t^8.582 + t^8.654 + 4*t^8.662 + 9*t^8.735 + t^8.807 + t^8.815 + 8*t^8.887 + 3*t^8.96 - t^4.367/y - (2*t^6.418)/y - t^6.571/y - t^6.949/y + t^7.102/y + t^7.255/y + t^7.48/y + (4*t^7.633)/y + (5*t^7.786)/y + (3*t^7.938)/y + t^8.091/y + (2*t^8.164)/y + (6*t^8.316)/y + t^8.622/y + (2*t^8.847)/y - t^4.367*y - 2*t^6.418*y - t^6.571*y - t^6.949*y + t^7.102*y + t^7.255*y + t^7.48*y + 4*t^7.633*y + 5*t^7.786*y + 3*t^7.938*y + t^8.091*y + 2*t^8.164*y + 6*t^8.316*y + t^8.622*y + 2*t^8.847*y | 2*g1^3*t^2.051 + g1^12*t^2.204 + (2*t^2.582)/g1^5 + g1^4*t^2.735 + g1^13*t^2.887 + t^3.265/g1^4 + g1^14*t^3.571 + 4*g1^6*t^4.102 + 2*g1^15*t^4.255 + t^4.327/g1^20 + g1^24*t^4.408 + t^4.48/g1^11 + (5*t^4.633)/g1^2 + 4*g1^7*t^4.786 + 3*g1^16*t^4.938 + g1^25*t^5.091 + (3*t^5.164)/g1^10 + (4*t^5.316)/g1 + 3*g1^8*t^5.469 + 2*g1^17*t^5.622 + 2*g1^26*t^5.775 + t^5.847/g1^9 - 2*t^6. + 7*g1^9*t^6.153 + 5*g1^18*t^6.306 + t^6.378/g1^17 + 3*g1^27*t^6.458 + t^6.531/g1^8 + g1^36*t^6.611 + 8*g1*t^6.684 + 7*g1^10*t^6.836 + (2*t^6.909)/g1^25 + 7*g1^19*t^6.989 + (2*t^7.062)/g1^16 + 4*g1^28*t^7.142 + (6*t^7.214)/g1^7 + g1^37*t^7.295 + 9*g1^2*t^7.367 + 7*g1^11*t^7.52 + 7*g1^20*t^7.673 + (2*t^7.745)/g1^15 + 4*g1^29*t^7.826 + (2*t^7.898)/g1^6 + 2*g1^38*t^7.979 - 2*g1^3*t^8.051 + 9*g1^12*t^8.204 - t^8.276/g1^23 + 10*g1^21*t^8.357 + 7*g1^30*t^8.509 - (6*t^8.582)/g1^5 + t^8.654/g1^40 + 4*g1^39*t^8.662 + 9*g1^4*t^8.735 + t^8.807/g1^31 + g1^48*t^8.815 + 8*g1^13*t^8.887 + (3*t^8.96)/g1^22 - (g1^2*t^4.367)/y - (2*g1^5*t^6.418)/y - (g1^14*t^6.571)/y - t^6.949/(g1^3*y) + (g1^6*t^7.102)/y + (g1^15*t^7.255)/y + t^7.48/(g1^11*y) + (4*t^7.633)/(g1^2*y) + (5*g1^7*t^7.786)/y + (3*g1^16*t^7.938)/y + (g1^25*t^8.091)/y + (2*t^8.164)/(g1^10*y) + (6*t^8.316)/(g1*y) + (g1^17*t^8.622)/y + (2*t^8.847)/(g1^9*y) - g1^2*t^4.367*y - 2*g1^5*t^6.418*y - g1^14*t^6.571*y - (t^6.949*y)/g1^3 + g1^6*t^7.102*y + g1^15*t^7.255*y + (t^7.48*y)/g1^11 + (4*t^7.633*y)/g1^2 + 5*g1^7*t^7.786*y + 3*g1^16*t^7.938*y + g1^25*t^8.091*y + (2*t^8.164*y)/g1^10 + (6*t^8.316*y)/g1 + g1^17*t^8.622*y + (2*t^8.847*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5671 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7314 | 0.9477 | 0.7718 | [M:[0.9877, 1.0807, 1.1491, 0.8509, 0.6895, 0.7579, 0.8509, 0.6895, 0.7824], q:[0.7702, 0.5403], qb:[0.4719, 0.379], phi:[0.4597]] | 2*t^2.068 + t^2.274 + t^2.347 + 2*t^2.553 + t^2.758 + t^2.963 + t^3.242 + 4*t^4.137 + t^4.21 + 2*t^4.342 + 3*t^4.416 + t^4.548 + 6*t^4.621 + t^4.695 + 4*t^4.826 + 2*t^4.9 + 3*t^5.032 + 4*t^5.105 + t^5.237 + 5*t^5.311 + 3*t^5.516 + t^5.589 + t^5.795 + t^5.926 - 2*t^6. - t^4.379/y - t^4.379*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2173 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6939 | 0.8782 | 0.7902 | [M:[0.9634, 1.0882, 1.1398, 0.8602, 0.6839, 0.7355, 0.8602], q:[0.772, 0.5441], qb:[0.4925, 0.3677], phi:[0.4559]] | t^2.052 + t^2.206 + 2*t^2.581 + t^2.735 + t^2.89 + t^3.265 + t^3.574 + t^3.948 + 2*t^4.103 + t^4.258 + t^4.323 + t^4.413 + t^4.477 + 3*t^4.632 + 3*t^4.787 + 2*t^4.942 + t^5.097 + 3*t^5.161 + 3*t^5.316 + 3*t^5.471 + t^5.626 + 2*t^5.78 + t^5.845 - t^6. - t^4.368/y - t^4.368*y | detail |