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 |
|---|---|---|---|---|---|---|---|---|---|
| 57261 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6688 | 0.8418 | 0.7944 | [M:[1.0579, 0.7107, 0.8264, 1.1736, 1.0579, 1.066, 0.6944], q:[0.5249, 0.4173], qb:[0.7645, 0.4091], phi:[0.4711]] | [M:[[4], [-20], [-12], [12], [4], [-30], [48]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.083 + t^2.132 + t^2.479 + 2*t^3.174 + t^3.198 + t^3.521 + t^3.545 + t^3.868 + t^3.892 + t^4.166 + 2*t^4.215 + t^4.24 + t^4.264 + 2*t^4.562 + t^4.611 + t^4.958 + 2*t^5.257 + t^5.281 + 2*t^5.306 + t^5.33 + t^5.604 + t^5.628 + 2*t^5.653 + t^5.677 + t^5.951 - t^6. + t^6.024 + t^6.249 + 2*t^6.298 + 3*t^6.347 + 3*t^6.372 + 2*t^6.396 + 2*t^6.645 + 3*t^6.694 + 2*t^6.719 + 2*t^6.743 + 2*t^7.042 + t^7.066 + t^7.09 + 2*t^7.34 + t^7.364 + 3*t^7.389 + 2*t^7.413 + 3*t^7.438 + t^7.462 + t^7.687 + t^7.711 + 3*t^7.736 + 2*t^7.76 + 2*t^7.785 + t^7.809 + t^8.034 - t^8.132 + t^8.156 + t^8.332 + 2*t^8.381 + 4*t^8.43 + t^8.455 + 2*t^8.479 + 3*t^8.504 + 2*t^8.528 + 2*t^8.729 + 4*t^8.777 + 2*t^8.802 + 3*t^8.826 + 2*t^8.851 + 2*t^8.875 - t^4.413/y - t^6.496/y - t^6.545/y + (2*t^7.215)/y + t^7.24/y + t^7.562/y - t^7.587/y + (2*t^8.257)/y + (2*t^8.281)/y + (2*t^8.306)/y + (2*t^8.33)/y - t^8.579/y + t^8.604/y + (3*t^8.653)/y + t^8.677/y + t^8.951/y + t^8.976/y - t^4.413*y - t^6.496*y - t^6.545*y + 2*t^7.215*y + t^7.24*y + t^7.562*y - t^7.587*y + 2*t^8.257*y + 2*t^8.281*y + 2*t^8.306*y + 2*t^8.33*y - t^8.579*y + t^8.604*y + 3*t^8.653*y + t^8.677*y + t^8.951*y + t^8.976*y | g1^48*t^2.083 + t^2.132/g1^20 + t^2.479/g1^12 + 2*g1^4*t^3.174 + t^3.198/g1^30 + g1^12*t^3.521 + t^3.545/g1^22 + g1^20*t^3.868 + t^3.892/g1^14 + g1^96*t^4.166 + 2*g1^28*t^4.215 + t^4.24/g1^6 + t^4.264/g1^40 + 2*g1^36*t^4.562 + t^4.611/g1^32 + t^4.958/g1^24 + 2*g1^52*t^5.257 + g1^18*t^5.281 + (2*t^5.306)/g1^16 + t^5.33/g1^50 + g1^60*t^5.604 + g1^26*t^5.628 + (2*t^5.653)/g1^8 + t^5.677/g1^42 + g1^68*t^5.951 - t^6. + t^6.024/g1^34 + g1^144*t^6.249 + 2*g1^76*t^6.298 + 3*g1^8*t^6.347 + (3*t^6.372)/g1^26 + (2*t^6.396)/g1^60 + 2*g1^84*t^6.645 + 3*g1^16*t^6.694 + (2*t^6.719)/g1^18 + (2*t^6.743)/g1^52 + 2*g1^24*t^7.042 + t^7.066/g1^10 + t^7.09/g1^44 + 2*g1^100*t^7.34 + g1^66*t^7.364 + 3*g1^32*t^7.389 + (2*t^7.413)/g1^2 + (3*t^7.438)/g1^36 + t^7.462/g1^70 + g1^108*t^7.687 + g1^74*t^7.711 + 3*g1^40*t^7.736 + 2*g1^6*t^7.76 + (2*t^7.785)/g1^28 + t^7.809/g1^62 + g1^116*t^8.034 - t^8.132/g1^20 + t^8.156/g1^54 + g1^192*t^8.332 + 2*g1^124*t^8.381 + 4*g1^56*t^8.43 + g1^22*t^8.455 + (2*t^8.479)/g1^12 + (3*t^8.504)/g1^46 + (2*t^8.528)/g1^80 + 2*g1^132*t^8.729 + 4*g1^64*t^8.777 + 2*g1^30*t^8.802 + (3*t^8.826)/g1^4 + (2*t^8.851)/g1^38 + (2*t^8.875)/g1^72 - t^4.413/(g1^2*y) - (g1^46*t^6.496)/y - t^6.545/(g1^22*y) + (2*g1^28*t^7.215)/y + t^7.24/(g1^6*y) + (g1^36*t^7.562)/y - (g1^2*t^7.587)/y + (2*g1^52*t^8.257)/y + (2*g1^18*t^8.281)/y + (2*t^8.306)/(g1^16*y) + (2*t^8.33)/(g1^50*y) - (g1^94*t^8.579)/y + (g1^60*t^8.604)/y + (3*t^8.653)/(g1^8*y) + t^8.677/(g1^42*y) + (g1^68*t^8.951)/y + (g1^34*t^8.976)/y - (t^4.413*y)/g1^2 - g1^46*t^6.496*y - (t^6.545*y)/g1^22 + 2*g1^28*t^7.215*y + (t^7.24*y)/g1^6 + g1^36*t^7.562*y - g1^2*t^7.587*y + 2*g1^52*t^8.257*y + 2*g1^18*t^8.281*y + (2*t^8.306*y)/g1^16 + (2*t^8.33*y)/g1^50 - g1^94*t^8.579*y + g1^60*t^8.604*y + (3*t^8.653*y)/g1^8 + (t^8.677*y)/g1^42 + g1^68*t^8.951*y + g1^34*t^8.976*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 58762 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ | 0.5911 | 0.7317 | 0.8078 | [X:[1.4167], M:[1.0833, 0.5833, 0.75, 1.25, 1.0833, 0.875, 1.0], q:[0.6458, 0.2708], qb:[0.7708, 0.4792], phi:[0.4583]] | t^2.25 + t^2.625 + t^3. + t^3.125 + 2*t^3.25 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + 3*t^5.25 + t^5.5 + t^5.625 + t^5.75 + 2*t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 2421/4096, c: 2997/4096, X1: 17/12, M1: 13/12, M2: 7/12, M3: 3/4, M4: 5/4, M5: 13/12, M6: 7/8, M7: 1, q1: 31/48, q2: 13/48, qb1: 37/48, qb2: 23/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8029 | 0.8074 | [M:[1.0593, 0.7034, 0.8221, 1.1779, 1.0593, 1.0551], q:[0.5317, 0.4089], qb:[0.7648, 0.4131], phi:[0.4703]] | t^2.11 + t^2.466 + t^3.165 + 2*t^3.178 + t^3.521 + t^3.534 + t^3.865 + t^3.877 + t^3.89 + t^4.221 + t^4.233 + t^4.246 + t^4.576 + t^4.602 + t^4.932 + t^5.276 + 2*t^5.288 + t^5.632 + 2*t^5.644 + t^5.975 + t^5.987 - t^6. - t^4.411/y - t^4.411*y | detail |