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 |
|---|---|---|---|---|---|---|---|---|---|
| 57440 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3049 | 1.5377 | 0.8486 | [M:[1.2745], q:[0.4283, 0.5858], qb:[0.2971, 0.2887], phi:[0.4]] | [M:[[1, 2]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | ${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.151 + t^2.4 + t^2.624 + t^2.649 + t^3.351 + t^3.376 + t^3.6 + 3*t^3.824 + 2*t^3.849 + t^4.302 + 2*t^4.551 + t^4.576 + t^4.775 + 2*t^4.8 + 3*t^5.024 + 3*t^5.049 + t^5.247 + t^5.273 + t^5.298 + t^5.502 + t^5.527 + 2*t^5.751 + t^5.776 + 3*t^5.975 + t^6. + t^6.198 + 5*t^6.224 + 4*t^6.249 + t^6.274 + 3*t^6.447 + t^6.453 + 3*t^6.473 + 2*t^6.498 + 3*t^6.702 + 2*t^6.727 + t^6.753 + t^6.926 + 3*t^6.951 + t^6.976 + 5*t^7.175 + 6*t^7.2 + t^7.225 + t^7.398 + 5*t^7.424 + 4*t^7.449 + t^7.455 + 8*t^7.647 + t^7.653 + 7*t^7.673 + t^7.679 + 5*t^7.698 + t^7.871 + t^7.896 + 3*t^7.902 + t^7.921 + 3*t^7.927 + t^7.947 + t^7.953 + 3*t^8.126 + t^8.151 + t^8.349 + 7*t^8.375 + 6*t^8.4 + 2*t^8.425 + 3*t^8.598 + t^8.604 + 4*t^8.624 + 2*t^8.649 + t^8.822 + 10*t^8.847 + 3*t^8.853 + 12*t^8.873 + t^8.879 + 7*t^8.898 + t^8.923 - t^4.2/y - t^5.4/y - t^6.351/y - t^6.6/y - t^6.824/y - t^6.849/y + t^7.775/y - t^8.024/y + t^8.273/y + t^8.527/y + (3*t^8.975)/y - t^4.2*y - t^5.4*y - t^6.351*y - t^6.6*y - t^6.824*y - t^6.849*y + t^7.775*y - t^8.024*y + t^8.273*y + t^8.527*y + 3*t^8.975*y | t^2.151/(g1^2*g2) + t^2.4 + g1*g2^2*t^2.624 + g1^2*g2*t^2.649 + t^3.351/(g1^2*g2) + t^3.376/(g1*g2^2) + t^3.6 + 3*g1*g2^2*t^3.824 + 2*g1^2*g2*t^3.849 + t^4.302/(g1^4*g2^2) + (2*t^4.551)/(g1^2*g2) + t^4.576/(g1*g2^2) + (g2*t^4.775)/g1 + 2*t^4.8 + 3*g1*g2^2*t^5.024 + 3*g1^2*g2*t^5.049 + g1^2*g2^4*t^5.247 + g1^3*g2^3*t^5.273 + g1^4*g2^2*t^5.298 + t^5.502/(g1^4*g2^2) + t^5.527/(g1^3*g2^3) + (2*t^5.751)/(g1^2*g2) + t^5.776/(g1*g2^2) + (3*g2*t^5.975)/g1 + t^6. + g2^3*t^6.198 + 5*g1*g2^2*t^6.224 + 4*g1^2*g2*t^6.249 + g1^3*t^6.274 + 3*g1^2*g2^4*t^6.447 + t^6.453/(g1^6*g2^3) + 3*g1^3*g2^3*t^6.473 + 2*g1^4*g2^2*t^6.498 + (3*t^6.702)/(g1^4*g2^2) + (2*t^6.727)/(g1^3*g2^3) + t^6.753/(g1^2*g2^4) + t^6.926/g1^3 + (3*t^6.951)/(g1^2*g2) + t^6.976/(g1*g2^2) + (5*g2*t^7.175)/g1 + 6*t^7.2 + (g1*t^7.225)/g2 + g2^3*t^7.398 + 5*g1*g2^2*t^7.424 + 4*g1^2*g2*t^7.449 + t^7.455/(g1^6*g2^6) + 8*g1^2*g2^4*t^7.647 + t^7.653/(g1^6*g2^3) + 7*g1^3*g2^3*t^7.673 + t^7.679/(g1^5*g2^4) + 5*g1^4*g2^2*t^7.698 + g1^3*g2^6*t^7.871 + g1^4*g2^5*t^7.896 + (3*t^7.902)/(g1^4*g2^2) + g1^5*g2^4*t^7.921 + (3*t^7.927)/(g1^3*g2^3) + g1^6*g2^3*t^7.947 + t^7.953/(g1^2*g2^4) + (3*t^8.126)/g1^3 + t^8.151/(g1^2*g2) + (g2^2*t^8.349)/g1^2 + (7*g2*t^8.375)/g1 + 6*t^8.4 + (2*g1*t^8.425)/g2 + 3*g2^3*t^8.598 + t^8.604/(g1^8*g2^4) + 4*g1*g2^2*t^8.624 + 2*g1^2*g2*t^8.649 + g1*g2^5*t^8.822 + 10*g1^2*g2^4*t^8.847 + (3*t^8.853)/(g1^6*g2^3) + 12*g1^3*g2^3*t^8.873 + t^8.879/(g1^5*g2^4) + 7*g1^4*g2^2*t^8.898 + g1^5*g2*t^8.923 - t^4.2/y - t^5.4/y - t^6.351/(g1^2*g2*y) - t^6.6/y - (g1*g2^2*t^6.824)/y - (g1^2*g2*t^6.849)/y + (g2*t^7.775)/(g1*y) - (g1*g2^2*t^8.024)/y + (g1^3*g2^3*t^8.273)/y + t^8.527/(g1^3*g2^3*y) + (3*g2*t^8.975)/(g1*y) - t^4.2*y - t^5.4*y - (t^6.351*y)/(g1^2*g2) - t^6.6*y - g1*g2^2*t^6.824*y - g1^2*g2*t^6.849*y + (g2*t^7.775*y)/g1 - g1*g2^2*t^8.024*y + g1^3*g2^3*t^8.273*y + (t^8.527*y)/(g1^3*g2^3) + (3*g2*t^8.975*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59061 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3048 | 1.5374 | 0.8487 | [X:[], M:[1.2791], q:[0.4279, 0.586], qb:[0.293, 0.293], phi:[0.4]] | t^2.16 + t^2.4 + 2*t^2.64 + 2*t^3.36 + t^3.6 + 5*t^3.84 + t^4.33 + 3*t^4.56 + 3*t^4.8 + 6*t^5.04 + 3*t^5.27 + 2*t^5.53 + 3*t^5.76 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58997 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.134 | 1.3304 | 0.8524 | [X:[1.6], M:[1.2573], q:[0.2285, 0.6858], qb:[0.5142, 0.1715], phi:[0.4]] | 2*t^2.4 + t^2.57 + t^3.43 + 3*t^3.6 + 3*t^3.77 + t^4.63 + 6*t^4.8 + 3*t^4.97 + 2*t^5.14 + t^5.66 + 2*t^5.83 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 59017 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.2929 | 1.5259 | 0.8472 | [X:[], M:[1.2705], q:[0.4863, 0.5568], qb:[0.2432, 0.3137], phi:[0.4]] | 3*t^2.4 + t^2.61 + t^3.39 + 4*t^3.6 + 3*t^3.81 + t^4.59 + 9*t^4.8 + 5*t^5.01 + t^5.22 + 3*t^5.79 + 10*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47906 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3942 | 1.633 | 0.8537 | [M:[1.1779], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.334 + 3*t^2.4 + 2*t^3.534 + 3*t^3.6 + t^3.666 + t^4.668 + 4*t^4.734 + 2*t^4.767 + 8*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 7*t^5.934 + 2*t^5.967 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |