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 |
|---|---|---|---|---|---|---|---|---|---|
| 1328 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8501 | 0.8189 | [M:[0.9281, 1.0245, 1.0229, 0.9739, 0.9771, 1.0261, 1.0229], q:[0.5621, 0.5098], qb:[0.4641, 0.5131], phi:[0.4878]] | [M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [-4, -4]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$ | ${}$ | -3 | t^2.784 + t^2.922 + 2*t^3.069 + t^3.073 + t^3.078 + t^3.225 + t^4.248 + t^4.385 + t^4.395 + t^4.522 + t^4.532 + 2*t^4.542 + t^4.679 + t^4.689 + t^4.836 + t^5.569 + t^5.858 + t^5.99 + t^5.995 - 3*t^6. + 2*t^6.137 + 2*t^6.142 + t^6.147 + t^6.152 + t^6.294 + t^6.299 + t^6.304 + t^6.451 + t^7.032 + t^7.169 + t^7.179 + t^7.307 + t^7.316 + 2*t^7.326 + t^7.444 + t^7.454 + t^7.463 + t^7.473 + 2*t^7.591 + 2*t^7.601 + 2*t^7.61 + 2*t^7.62 + 2*t^7.748 + 2*t^7.757 + 2*t^7.767 + 2*t^7.904 + 2*t^7.914 + t^8.061 + t^8.353 + t^8.495 + t^8.633 + 2*t^8.642 + t^8.77 - t^8.775 + t^8.78 - 4*t^8.784 + 2*t^8.789 + t^8.907 - t^8.912 + t^8.917 - 3*t^8.922 + 2*t^8.927 - 3*t^8.931 + 2*t^8.936 - t^4.463/y - t^7.248/y + t^7.395/y - t^7.532/y + t^7.679/y + t^8.706/y + (2*t^8.853)/y + t^8.858/y + t^8.863/y + (2*t^8.99)/y + t^8.995/y - t^4.463*y - t^7.248*y + t^7.395*y - t^7.532*y + t^7.679*y + t^8.706*y + 2*t^8.853*y + t^8.858*y + t^8.863*y + 2*t^8.99*y + t^8.995*y | g1^8*t^2.784 + t^2.922/g2^8 + (2*t^3.069)/(g1^4*g2^4) + (g2^2*t^3.073)/g1^2 + g2^8*t^3.078 + (g2^12*t^3.225)/g1^4 + (g1^9*t^4.248)/g2 + (g1*t^4.385)/g2^9 + g1^5*g2^3*t^4.395 + t^4.522/(g1^7*g2^17) + t^4.532/(g1^3*g2^5) + 2*g1*g2^7*t^4.542 + t^4.679/(g1^7*g2) + (g2^11*t^4.689)/g1^3 + (g2^15*t^4.836)/g1^7 + g1^16*t^5.569 + g1^6*g2^2*t^5.858 + t^5.99/(g1^4*g2^12) + t^5.995/(g1^2*g2^6) - 3*t^6. + (2*t^6.137)/(g1^8*g2^8) + (2*t^6.142)/(g1^6*g2^2) + (g2^4*t^6.147)/g1^4 + (g2^10*t^6.152)/g1^2 + (g2^8*t^6.294)/g1^8 + (g2^14*t^6.299)/g1^6 + (g2^20*t^6.304)/g1^4 + (g2^24*t^6.451)/g1^8 + (g1^17*t^7.032)/g2 + (g1^9*t^7.169)/g2^9 + g1^13*g2^3*t^7.179 + (g1*t^7.307)/g2^17 + (g1^5*t^7.316)/g2^5 + 2*g1^9*g2^7*t^7.326 + t^7.444/(g1^7*g2^25) + t^7.454/(g1^3*g2^13) + (g1*t^7.463)/g2 + g1^5*g2^11*t^7.473 + (2*t^7.591)/(g1^11*g2^21) + (2*t^7.601)/(g1^7*g2^9) + (2*g2^3*t^7.61)/g1^3 + 2*g1*g2^15*t^7.62 + (2*t^7.748)/(g1^11*g2^5) + (2*g2^7*t^7.757)/g1^7 + (2*g2^19*t^7.767)/g1^3 + (2*g2^11*t^7.904)/g1^11 + (2*g2^23*t^7.914)/g1^7 + (g2^27*t^8.061)/g1^11 + g1^24*t^8.353 + (g1^18*t^8.495)/g2^2 + (g1^10*t^8.633)/g2^10 + 2*g1^14*g2^2*t^8.642 + (g1^2*t^8.77)/g2^18 - (g1^4*t^8.775)/g2^12 + (g1^6*t^8.78)/g2^6 - 4*g1^8*t^8.784 + 2*g1^10*g2^6*t^8.789 + t^8.907/(g1^6*g2^26) - t^8.912/(g1^4*g2^20) + t^8.917/(g1^2*g2^14) - (3*t^8.922)/g2^8 + (2*g1^2*t^8.927)/g2^2 - 3*g1^4*g2^4*t^8.931 + 2*g1^6*g2^10*t^8.936 - (g1*t^4.463)/(g2*y) - (g1^9*t^7.248)/(g2*y) + (g1^5*g2^3*t^7.395)/y - t^7.532/(g1^3*g2^5*y) + t^7.679/(g1^7*g2*y) + (g1^8*t^8.706)/(g2^8*y) + (2*g1^4*t^8.853)/(g2^4*y) + (g1^6*g2^2*t^8.858)/y + (g1^8*g2^8*t^8.863)/y + (2*t^8.99)/(g1^4*g2^12*y) + t^8.995/(g1^2*g2^6*y) - (g1*t^4.463*y)/g2 - (g1^9*t^7.248*y)/g2 + g1^5*g2^3*t^7.395*y - (t^7.532*y)/(g1^3*g2^5) + (t^7.679*y)/(g1^7*g2) + (g1^8*t^8.706*y)/g2^8 + (2*g1^4*t^8.853*y)/g2^4 + g1^6*g2^2*t^8.858*y + g1^8*g2^8*t^8.863*y + (2*t^8.99*y)/(g1^4*g2^12) + (t^8.995*y)/(g1^2*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2380 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5702 | 0.713 | 0.7996 | [M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | t^2.142 + t^2.147 + 2*t^2.997 + t^3.422 + 2*t^3.428 + t^3.434 + t^3.858 + t^4.283 + t^4.289 + t^4.295 + t^4.714 + 2*t^5.139 + 2*t^5.145 + t^5.563 + 2*t^5.569 + 2*t^5.575 + t^5.581 + 2*t^5.994 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
| 2381 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6522 | 0.7994 | 0.8159 | [M:[0.7755, 1.0966, 1.0313, 0.8381, 0.9687, 1.1619, 1.0313], q:[0.7741, 0.4503], qb:[0.3878, 0.581], phi:[0.4517]] | t^2.327 + t^2.514 + 2*t^3.094 + t^3.29 + t^3.486 + t^3.682 + t^3.869 + t^4.057 + t^4.065 + t^4.261 + t^4.449 + t^4.653 + 2*t^4.841 + t^5.029 + t^5.42 + t^5.608 + t^5.616 + t^5.804 - 2*t^6. - t^4.355/y - t^4.355*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |