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 |
|---|---|---|---|---|---|---|---|---|---|
| 46760 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6522 | 0.7999 | 0.8154 | [M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$ | ${}$ | -2 | t^2.332 + t^2.515 + t^3.065 + t^3.119 + t^3.275 + t^3.485 + t^3.694 + t^3.878 + t^4.034 + t^4.062 + t^4.244 + t^4.427 + t^4.663 + t^4.793 + t^4.847 + t^5.031 + t^5.396 + t^5.58 + t^5.606 + t^5.79 - 2*t^6. + t^6.026 + t^6.129 + t^6.21 + t^6.238 + t^6.339 + 2*t^6.394 + t^6.549 + t^6.575 + t^6.577 + 2*t^6.759 + t^6.943 + t^6.995 + t^7.098 + t^7.125 + t^7.127 + t^7.179 + t^7.181 + 2*t^7.308 + t^7.389 + t^7.492 + t^7.518 + t^7.546 + t^7.573 + t^7.728 + t^7.756 + t^7.858 + t^7.912 + 2*t^7.938 + t^7.94 - t^7.966 + t^8.068 + t^8.096 + t^8.122 + t^8.124 + t^8.277 + t^8.306 - 3*t^8.332 + t^8.358 + t^8.461 + t^8.487 + t^8.489 - 3*t^8.515 + t^8.542 + t^8.57 + t^8.645 + t^8.671 - t^8.699 + t^8.725 + t^8.827 + 2*t^8.855 - t^8.881 + t^8.907 + t^8.909 - t^8.935 - t^4.363/y - t^6.694/y + t^7.244/y - t^7.482/y + t^7.847/y + t^8.031/y + t^8.396/y + t^8.451/y + t^8.58/y + t^8.606/y + t^8.635/y + t^8.79/y + t^8.816/y - t^4.363*y - t^6.694*y + t^7.244*y - t^7.482*y + t^7.847*y + t^8.031*y + t^8.396*y + t^8.451*y + t^8.58*y + t^8.606*y + t^8.635*y + t^8.79*y + t^8.816*y | (g1^2*t^2.332)/g2^16 + (g2^7*t^2.515)/g1 + (g2^15*t^3.065)/g1 + (g2^8*t^3.119)/g1^2 + g2^4*t^3.275 + (g1*t^3.485)/g2^7 + (g1^2*t^3.694)/g2^18 + (g2^5*t^3.878)/g1 + g1*g2*t^4.034 + (g2^28*t^4.062)/g1^4 + (g1^2*t^4.244)/g2^10 + (g2^13*t^4.427)/g1 + (g1^4*t^4.663)/g2^32 + (g1^2*t^4.793)/g2^2 + (g1*t^4.847)/g2^9 + (g2^14*t^5.031)/g1^2 + (g1*t^5.396)/g2 + (g2^22*t^5.58)/g1^2 + (g1^2*t^5.606)/g2^12 + (g2^11*t^5.79)/g1 - 2*t^6. + (g1^4*t^6.026)/g2^34 + (g2^30*t^6.129)/g1^2 + (g1*t^6.21)/g2^11 + (g2^16*t^6.238)/g1^4 + (g2^19*t^6.339)/g1 + (2*g2^12*t^6.394)/g1^2 + g2^8*t^6.549 + (g1^4*t^6.575)/g2^26 + (g2^35*t^6.577)/g1^5 + (2*g1*t^6.759)/g2^3 + (g2^20*t^6.943)/g1^2 + (g1^6*t^6.995)/g2^48 + g2^16*t^7.098 + (g1^4*t^7.125)/g2^18 + (g2^43*t^7.127)/g1^5 + (g1^3*t^7.179)/g2^25 + (g2^36*t^7.181)/g1^6 + 2*g1*g2^5*t^7.308 + (g1^4*t^7.389)/g2^36 + (g2^28*t^7.492)/g1^2 + (g1^2*t^7.518)/g2^6 + (g2^21*t^7.546)/g1^3 + (g1*t^7.573)/g2^13 + (g1^3*t^7.728)/g2^17 + (g2^10*t^7.756)/g1^2 + g1*g2^13*t^7.858 + g2^6*t^7.912 + (2*g1^4*t^7.938)/g2^28 + (g2^33*t^7.94)/g1^5 - t^7.966/(g1*g2) + g1^2*g2^2*t^8.068 + (g2^29*t^8.096)/g1^3 + (g1*t^8.122)/g2^5 + (g2^56*t^8.124)/g1^8 + (g1^3*t^8.277)/g2^9 + (g2^18*t^8.306)/g1^2 - (3*g1^2*t^8.332)/g2^16 + (g1^6*t^8.358)/g2^50 + g2^14*t^8.461 + (g1^4*t^8.487)/g2^20 + (g2^41*t^8.489)/g1^5 - (3*g2^7*t^8.515)/g1 + (g1^3*t^8.542)/g2^27 + t^8.57/g1^2 + (g2^37*t^8.645)/g1^3 + g1*g2^3*t^8.671 - (g2^30*t^8.699)/g1^4 + t^8.725/g2^4 + (g1^3*t^8.827)/g2 + (2*g2^26*t^8.855)/g1^2 - (g1^2*t^8.881)/g2^8 + (g1^6*t^8.907)/g2^42 + (g2^19*t^8.909)/g1^3 - (g1*t^8.935)/g2^15 - t^4.363/(g2^2*y) - (g1^2*t^6.694)/(g2^18*y) + (g1^2*t^7.244)/(g2^10*y) - (g2^6*t^7.482)/(g1^2*y) + (g1*t^7.847)/(g2^9*y) + (g2^14*t^8.031)/(g1^2*y) + (g1*t^8.396)/(g2*y) + t^8.451/(g2^8*y) + (g2^22*t^8.58)/(g1^2*y) + (g1^2*t^8.606)/(g2^12*y) + (g2^15*t^8.635)/(g1^3*y) + (g2^11*t^8.79)/(g1*y) + (g1^3*t^8.816)/(g2^23*y) - (t^4.363*y)/g2^2 - (g1^2*t^6.694*y)/g2^18 + (g1^2*t^7.244*y)/g2^10 - (g2^6*t^7.482*y)/g1^2 + (g1*t^7.847*y)/g2^9 + (g2^14*t^8.031*y)/g1^2 + (g1*t^8.396*y)/g2 + (t^8.451*y)/g2^8 + (g2^22*t^8.58*y)/g1^2 + (g1^2*t^8.606*y)/g2^12 + (g2^15*t^8.635*y)/g1^3 + (g2^11*t^8.79*y)/g1 + (g1^3*t^8.816*y)/g2^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46925 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.588 | 0.742 | 0.7924 | [M:[1.2559, 0.9526, 0.7441, 1.0, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | t^2.232 + t^2.374 + t^2.858 + t^2.929 + t^3. + t^3.071 + t^3.697 + t^3.768 + t^3.839 + t^3.91 + 2*t^4.464 + 2*t^4.607 + 2*t^4.749 + t^5.161 + t^5.232 + 2*t^5.303 + t^5.374 + t^5.445 + t^5.716 + t^5.787 + t^5.858 + 2*t^5.929 - t^6. - t^4.464/y - t^4.464*y | detail | |
| 47003 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*y | detail | |
| 46832 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6579 | 0.8086 | 0.8137 | [M:[1.1533, 1.0037, 0.8467, 0.7433, 1.1265, 0.9002], q:[0.3716, 0.4751], qb:[0.6247, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46292 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. - t^4.338/y - t^4.338*y | detail |