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 |
|---|---|---|---|---|---|---|---|---|---|
| 4760 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ | 0.6468 | 0.7927 | 0.816 | [X:[1.3333], M:[1.1192, 0.6909, 0.9292, 0.8808, 1.1192, 0.6667, 0.8808, 1.3091], q:[0.5354, 0.3454], qb:[0.5354, 0.7737], phi:[0.4525]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [0], [2], [6]], q:[[5], [-3]], qb:[[5], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$ | ${}M_{1}M_{7}$ | -3 | 2*t^2.642 + t^2.715 + t^2.788 + t^3.358 + t^3.43 + 2*t^3.927 + 2*t^4. + 3*t^4.57 + 3*t^5.285 + 2*t^5.358 + t^5.43 + t^5.503 + t^5.575 - 3*t^6. + 2*t^6.073 + 2*t^6.145 + t^6.218 + t^6.57 + 3*t^6.642 + 2*t^6.715 + t^6.788 + t^6.86 + 4*t^7.212 + 2*t^7.285 + t^7.358 + 2*t^7.43 + 5*t^7.927 + 5*t^8. + t^8.073 + t^8.145 + t^8.218 + t^8.29 + t^8.363 + 4*t^8.497 + 2*t^8.57 - 7*t^8.642 - 2*t^8.715 + t^8.86 + 2*t^8.933 - t^4.358/y - t^7.073/y - t^7.145/y + t^7.57/y + t^7.642/y + t^8.285/y + (2*t^8.358)/y + (2*t^8.43)/y + t^8.503/y - t^4.358*y - t^7.073*y - t^7.145*y + t^7.57*y + t^7.642*y + t^8.285*y + 2*t^8.358*y + 2*t^8.43*y + t^8.503*y | 2*g1^2*t^2.642 + t^2.715/g1^4 + t^2.788/g1^10 + t^3.358/g1^2 + t^3.43/g1^8 + 2*g1^6*t^3.927 + 2*t^4. + 3*g1^8*t^4.57 + 3*g1^4*t^5.285 + (2*t^5.358)/g1^2 + t^5.43/g1^8 + t^5.503/g1^14 + t^5.575/g1^20 - 3*t^6. + (2*t^6.073)/g1^6 + (2*t^6.145)/g1^12 + t^6.218/g1^18 + g1^8*t^6.57 + 3*g1^2*t^6.642 + (2*t^6.715)/g1^4 + t^6.788/g1^10 + t^6.86/g1^16 + 4*g1^10*t^7.212 + 2*g1^4*t^7.285 + t^7.358/g1^2 + (2*t^7.43)/g1^8 + 5*g1^6*t^7.927 + 5*t^8. + t^8.073/g1^6 + t^8.145/g1^12 + t^8.218/g1^18 + t^8.29/g1^24 + t^8.363/g1^30 + 4*g1^14*t^8.497 + 2*g1^8*t^8.57 - 7*g1^2*t^8.642 - (2*t^8.715)/g1^4 + t^8.86/g1^16 + (2*t^8.933)/g1^22 - t^4.358/(g1^2*y) - t^7.073/(g1^6*y) - t^7.145/(g1^12*y) + (g1^8*t^7.57)/y + (g1^2*t^7.642)/y + (g1^4*t^8.285)/y + (2*t^8.358)/(g1^2*y) + (2*t^8.43)/(g1^8*y) + t^8.503/(g1^14*y) - (t^4.358*y)/g1^2 - (t^7.073*y)/g1^6 - (t^7.145*y)/g1^12 + g1^8*t^7.57*y + g1^2*t^7.642*y + g1^4*t^8.285*y + (2*t^8.358*y)/g1^2 + (2*t^8.43*y)/g1^8 + (t^8.503*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6373 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{9}$ | 0.6576 | 0.8111 | 0.8108 | [X:[1.3333], M:[1.1218, 0.6989, 0.9426, 0.8782, 1.1218, 0.6667, 0.8782, 1.3011, 0.8782], q:[0.5287, 0.3494], qb:[0.5287, 0.7724], phi:[0.4552]] | 3*t^2.634 + t^2.731 + t^2.828 + t^3.462 + 2*t^3.903 + 2*t^4. + 3*t^4.538 + 6*t^5.269 + 3*t^5.366 + 2*t^5.462 + t^5.559 + t^5.655 - 5*t^6. - t^4.366/y - t^4.366*y | detail | |
| 6372 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}M_{9}$ | 0.6362 | 0.7748 | 0.8212 | [X:[1.3333], M:[1.1165, 0.6828, 0.9158, 0.8835, 1.1165, 0.6667, 0.8835, 1.3172, 1.1165], q:[0.5421, 0.3414], qb:[0.5421, 0.7751], phi:[0.4498]] | t^2.651 + t^2.699 + t^2.747 + 2*t^3.349 + t^3.398 + 2*t^3.952 + 2*t^4. + 3*t^4.602 + t^5.301 + t^5.349 + t^5.446 + t^5.495 - 3*t^6. - t^4.349/y - t^4.349*y | detail | |
| 6375 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}M_{9}$ | 0.6675 | 0.8329 | 0.8015 | [X:[1.3333], M:[1.1181, 0.6875, 0.9236, 0.8819, 1.1181, 0.6667, 0.8819, 1.3125, 0.6875], q:[0.5382, 0.3438], qb:[0.5382, 0.7743], phi:[0.4514]] | t^2.063 + 2*t^2.646 + t^2.708 + t^2.771 + t^3.354 + t^3.417 + t^3.937 + 2*t^4. + t^4.125 + 3*t^4.583 + 2*t^4.708 + t^4.771 + t^4.833 + 3*t^5.292 + 2*t^5.354 + 2*t^5.417 + 2*t^5.479 + t^5.542 - 2*t^6. - t^4.354/y - t^4.354*y | detail | |
| 6374 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6608 | 0.8178 | 0.808 | [X:[1.3333], M:[1.1281, 0.7176, 0.9737, 0.8719, 1.1281, 0.6667, 0.8719, 1.2824, 0.821], q:[0.5131, 0.3588], qb:[0.5131, 0.7693], phi:[0.4614]] | t^2.463 + 2*t^2.616 + t^2.768 + t^2.921 + t^3.384 + 2*t^3.847 + 2*t^4. + 3*t^4.463 + t^4.926 + 2*t^5.079 + 4*t^5.232 + 3*t^5.384 + t^5.537 + t^5.69 + t^5.842 + t^5.847 - 3*t^6. - t^4.384/y - t^4.384*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2633 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6843 | 0.8549 | 0.8004 | [M:[0.972, 0.7603, 0.8959, 0.8364, 1.1636, 0.7305, 0.8364, 1.2397], q:[0.6479, 0.3801], qb:[0.4563, 0.7835], phi:[0.4331]] | t^2.192 + 2*t^2.509 + t^2.598 + t^2.688 + t^2.916 + t^3.58 + t^3.719 + t^4.037 + t^4.294 + 2*t^4.383 + t^4.612 + 2*t^4.701 + t^4.79 + t^4.879 + 3*t^5.018 + 3*t^5.108 + t^5.186 + 2*t^5.197 + t^5.286 + t^5.375 + t^5.425 + t^5.514 + t^5.604 + t^5.832 + t^5.911 - 3*t^6. - t^4.299/y - t^4.299*y | detail |