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 |
|---|---|---|---|---|---|---|---|---|---|
| 46238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 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]] | [M:[[1, -7], [-1, -11], [0, 4], [1, 3]], 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$ | ${}$ | -2 | 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^6.075 + t^6.186 + 2*t^6.261 + t^6.336 - t^6.461 + 2*t^6.522 + t^6.597 + t^6.647 + t^6.672 + t^6.722 + t^6.783 + t^6.859 + t^6.908 + t^6.934 + t^6.983 + t^7.009 + t^7.108 + 2*t^7.244 + t^7.444 + 2*t^7.506 + 2*t^7.581 + t^7.705 + t^7.767 + t^7.842 + 2*t^7.917 + 2*t^7.967 + t^7.992 + t^8.067 + t^8.103 + t^8.166 + t^8.178 + t^8.228 + t^8.253 - 2*t^8.303 - t^8.378 + t^8.427 + t^8.453 + t^8.489 + t^8.564 - t^8.639 + t^8.689 + t^8.7 - t^8.714 - t^8.764 + t^8.775 + t^8.825 + t^8.839 + t^8.85 + t^8.888 - 2*t^8.9 + t^8.925 + t^8.95 - 3*t^8.975 - t^4.319/y - t^6.622/y - t^7.22/y - t^7.295/y + t^7.344/y + t^7.419/y + t^7.942/y + t^8.017/y + t^8.203/y + t^8.278/y + t^8.539/y + t^8.614/y + t^8.664/y + t^8.875/y - t^4.319*y - t^6.622*y - t^7.22*y - t^7.295*y + t^7.344*y + t^7.419*y + t^7.942*y + t^8.017*y + t^8.203*y + t^8.278*y + t^8.539*y + t^8.614*y + t^8.664*y + t^8.875*y | g1*g2^3*t^2.303 + t^2.639/g2^4 + (g1*t^2.9)/g2^7 + t^2.975/(g1*g2^11) + g2^4*t^3.361 + g1*g2*t^3.622 + (g1^2*t^3.883)/g2^2 + t^3.958/g2^6 + t^4.033/(g1^2*g2^10) + g2^12*t^4.083 + g1*g2^9*t^4.344 + (g2^5*t^4.419)/g1 + g1^2*g2^6*t^4.605 + g2^20*t^4.805 + (g1*t^4.942)/g2 + (g1^2*t^5.203)/g2^4 + (2*t^5.278)/g2^8 + g1*g2^7*t^5.664 + (g1^2*t^5.8)/g2^14 + t^5.875/g2^18 + t^5.95/(g1^2*g2^22) - 2*t^6. - t^6.075/(g1^2*g2^4) + g1^3*g2*t^6.186 + (2*g1*t^6.261)/g2^3 + t^6.336/(g1*g2^7) - (g2^11*t^6.461)/g1 + (2*g1^2*t^6.522)/g2^6 + t^6.597/g2^10 + g1^2*g2^12*t^6.647 + t^6.672/(g1^2*g2^14) + g2^8*t^6.722 + (g1^3*t^6.783)/g2^9 + (g1*t^6.859)/g2^13 + g1^3*g2^9*t^6.908 + t^6.934/(g1*g2^17) + g1*g2^5*t^6.983 + t^7.009/(g1^3*g2^21) + g1*g2^23*t^7.108 + 2*g1^2*g2^2*t^7.244 + g2^16*t^7.444 + (2*g1^3*t^7.506)/g2 + (2*g1*t^7.581)/g2^5 + g1*g2^13*t^7.705 + (g1^4*t^7.767)/g2^4 + (g1^2*t^7.842)/g2^8 + (2*t^7.917)/g2^12 + 2*g1^2*g2^10*t^7.967 + t^7.992/(g1^2*g2^16) + t^8.067/(g1^4*g2^20) + (g1^3*t^8.103)/g2^11 + g2^24*t^8.166 + (g1*t^8.178)/g2^15 + g1^3*g2^7*t^8.228 + t^8.253/(g1*g2^19) - 2*g1*g2^3*t^8.303 - t^8.378/(g1*g2) + g1*g2^21*t^8.427 + t^8.453/(g1^3*g2^5) + g1^4*g2^4*t^8.489 + g1^2*t^8.564 - t^8.639/g2^4 + g1^2*g2^18*t^8.689 + (g1^3*t^8.7)/g2^21 - t^8.714/(g1^2*g2^8) - g2^14*t^8.764 + (g1*t^8.775)/g2^25 + (g1^3*t^8.825)/g2^3 + (g2^10*t^8.839)/g1^2 + t^8.85/(g1*g2^29) + g2^32*t^8.888 - (2*g1*t^8.9)/g2^7 + t^8.925/(g1^3*g2^33) + g1^3*g2^15*t^8.95 - (3*t^8.975)/(g1*g2^11) - t^4.319/(g2^2*y) - (g1*g2*t^6.622)/y - (g1*t^7.22)/(g2^9*y) - t^7.295/(g1*g2^13*y) + (g1*g2^9*t^7.344)/y + (g2^5*t^7.419)/(g1*y) + (g1*t^7.942)/(g2*y) + t^8.017/(g1*g2^5*y) + (g1^2*t^8.203)/(g2^4*y) + t^8.278/(g2^8*y) + (g1*t^8.539)/(g2^11*y) + t^8.614/(g1*g2^15*y) + (g1*g2^7*t^8.664)/y + t^8.875/(g2^18*y) - (t^4.319*y)/g2^2 - g1*g2*t^6.622*y - (g1*t^7.22*y)/g2^9 - (t^7.295*y)/(g1*g2^13) + g1*g2^9*t^7.344*y + (g2^5*t^7.419*y)/g1 + (g1*t^7.942*y)/g2 + (t^8.017*y)/(g1*g2^5) + (g1^2*t^8.203*y)/g2^4 + (t^8.278*y)/g2^8 + (g1*t^8.539*y)/g2^11 + (t^8.614*y)/(g1*g2^15) + g1*g2^7*t^8.664*y + (t^8.875*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 |
|---|---|---|---|---|---|---|---|---|
| 46796 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[1.1407, 0.9659, 1.0874, 0.8593], q:[0.4904, 0.3689], qb:[0.5437, 0.7719], phi:[0.4563]] | t^2.578 + t^2.738 + t^2.898 + t^3.262 + t^3.422 + t^3.582 + t^3.787 + 2*t^3.947 + t^4.107 + t^4.311 + t^4.471 + t^4.631 + t^5.156 + t^5.316 + t^5.475 + t^5.795 - t^6. - t^4.369/y - t^4.369*y | detail | |
| 46565 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6881 | 0.854 | 0.8057 | [M:[0.9764, 0.989, 1.1188, 0.7734, 0.6908], q:[0.5767, 0.4469], qb:[0.4343, 0.7797], phi:[0.4406]] | t^2.072 + t^2.32 + t^2.644 + t^2.929 + t^2.967 + t^3.356 + t^3.642 + t^3.965 + t^4.003 + t^4.069 + t^4.145 + t^4.355 + 2*t^4.393 + t^4.64 + t^4.716 + t^4.782 + t^4.964 + t^5.002 + t^5.04 + t^5.249 + 2*t^5.287 + t^5.429 + t^5.677 + t^5.714 + t^5.858 + t^5.896 + t^5.934 - 2*t^6. - t^4.322/y - t^4.322*y | detail | |
| 46579 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6848 | 0.8448 | 0.8106 | [M:[0.9816, 0.9816, 1.1193, 0.7798, 0.7798], q:[0.578, 0.4404], qb:[0.4404, 0.7798], phi:[0.4404]] | 2*t^2.339 + t^2.642 + 2*t^2.945 + t^3.358 + 3*t^3.963 + t^4.073 + 2*t^4.376 + 3*t^4.679 + t^4.789 + 2*t^4.982 + 5*t^5.284 + 2*t^5.697 + 3*t^5.89 - 4*t^6. - t^4.321/y - t^4.321*y | detail | |
| 46782 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6304 | 0.7811 | 0.807 | [M:[0.7882, 0.8118, 1.2, 0.7882], q:[0.8, 0.4118], qb:[0.3882, 0.8], phi:[0.4]] | 2*t^2.365 + t^2.4 + t^2.435 + t^3.529 + t^3.565 + 2*t^3.6 + t^3.671 + 3*t^4.729 + 2*t^4.765 + 4*t^4.8 + t^4.835 + t^4.871 + 2*t^5.894 + 2*t^5.929 + 4*t^5.965 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.318/y - t^4.318*y | detail |