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 |
|---|---|---|---|---|---|---|---|---|---|
| 4934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.5964 | 0.7583 | 0.7865 | [M:[0.6882, 1.1476, 1.0166, 0.7214, 0.9834, 1.2786, 0.8856, 0.8192], q:[0.9345, 0.3773], qb:[0.3441, 0.6393], phi:[0.4262]] | [M:[[22], [-4], [-14], [-6], [14], [6], [-24], [32]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.065 + t^2.164 + t^2.458 + t^2.657 + t^2.95 + t^3.05 + 2*t^3.443 + t^3.836 + t^4.129 + t^4.229 + t^4.328 + t^4.522 + t^4.622 + 2*t^4.721 + t^4.821 + t^4.915 + t^5.015 + 3*t^5.114 + t^5.214 + t^5.314 + t^5.408 + 2*t^5.507 + 2*t^5.607 + t^5.707 + 3*t^5.9 - t^6. + 2*t^6.1 + t^6.194 + 2*t^6.293 + t^6.393 + 2*t^6.493 + t^6.587 + t^6.686 + 2*t^6.786 + 2*t^6.886 + t^6.98 + 2*t^7.079 + 3*t^7.179 + 2*t^7.279 + t^7.373 + t^7.378 + t^7.472 + t^7.478 + 4*t^7.572 + 2*t^7.672 + 3*t^7.771 + t^7.865 + t^7.871 + 3*t^7.965 + t^7.97 + t^8.164 + t^8.258 + t^8.264 + 4*t^8.358 + t^8.363 - t^8.458 + 3*t^8.557 + t^8.651 - 2*t^8.657 + 2*t^8.751 + 2*t^8.756 + 2*t^8.851 - t^4.279/y - t^6.343/y - t^6.736/y - t^6.935/y + t^7.229/y + t^7.522/y + (2*t^7.622)/y + t^7.721/y + (2*t^7.821)/y + t^8.015/y + (3*t^8.114)/y + (2*t^8.214)/y + (3*t^8.507)/y + (3*t^8.607)/y + t^8.707/y - t^8.801/y + (3*t^8.9)/y - t^4.279*y - t^6.343*y - t^6.736*y - t^6.935*y + t^7.229*y + t^7.522*y + 2*t^7.622*y + t^7.721*y + 2*t^7.821*y + t^8.015*y + 3*t^8.114*y + 2*t^8.214*y + 3*t^8.507*y + 3*t^8.607*y + t^8.707*y - t^8.801*y + 3*t^8.9*y | g1^22*t^2.065 + t^2.164/g1^6 + g1^32*t^2.458 + t^2.657/g1^24 + g1^14*t^2.95 + t^3.05/g1^14 + (2*t^3.443)/g1^4 + g1^6*t^3.836 + g1^44*t^4.129 + g1^16*t^4.229 + t^4.328/g1^12 + g1^54*t^4.522 + g1^26*t^4.622 + (2*t^4.721)/g1^2 + t^4.821/g1^30 + g1^64*t^4.915 + g1^36*t^5.015 + 3*g1^8*t^5.114 + t^5.214/g1^20 + t^5.314/g1^48 + g1^46*t^5.408 + 2*g1^18*t^5.507 + (2*t^5.607)/g1^10 + t^5.707/g1^38 + 3*g1^28*t^5.9 - t^6. + (2*t^6.1)/g1^28 + g1^66*t^6.194 + 2*g1^38*t^6.293 + g1^10*t^6.393 + (2*t^6.493)/g1^18 + g1^76*t^6.587 + g1^48*t^6.686 + 2*g1^20*t^6.786 + (2*t^6.886)/g1^8 + g1^86*t^6.98 + 2*g1^58*t^7.079 + 3*g1^30*t^7.179 + 2*g1^2*t^7.279 + g1^96*t^7.373 + t^7.378/g1^26 + g1^68*t^7.472 + t^7.478/g1^54 + 4*g1^40*t^7.572 + 2*g1^12*t^7.672 + (3*t^7.771)/g1^16 + g1^78*t^7.865 + t^7.871/g1^44 + 3*g1^50*t^7.965 + t^7.97/g1^72 + t^8.164/g1^6 + g1^88*t^8.258 + t^8.264/g1^34 + 4*g1^60*t^8.358 + t^8.363/g1^62 - g1^32*t^8.458 + 3*g1^4*t^8.557 + g1^98*t^8.651 - (2*t^8.657)/g1^24 + 2*g1^70*t^8.751 + (2*t^8.756)/g1^52 + 2*g1^42*t^8.851 - (g1^2*t^4.279)/y - (g1^24*t^6.343)/y - (g1^34*t^6.736)/y - t^6.935/(g1^22*y) + (g1^16*t^7.229)/y + (g1^54*t^7.522)/y + (2*g1^26*t^7.622)/y + t^7.721/(g1^2*y) + (2*t^7.821)/(g1^30*y) + (g1^36*t^8.015)/y + (3*g1^8*t^8.114)/y + (2*t^8.214)/(g1^20*y) + (3*g1^18*t^8.507)/y + (3*t^8.607)/(g1^10*y) + t^8.707/(g1^38*y) - (g1^56*t^8.801)/y + (3*g1^28*t^8.9)/y - g1^2*t^4.279*y - g1^24*t^6.343*y - g1^34*t^6.736*y - (t^6.935*y)/g1^22 + g1^16*t^7.229*y + g1^54*t^7.522*y + 2*g1^26*t^7.622*y + (t^7.721*y)/g1^2 + (2*t^7.821*y)/g1^30 + g1^36*t^8.015*y + 3*g1^8*t^8.114*y + (2*t^8.214*y)/g1^20 + 3*g1^18*t^8.507*y + (3*t^8.607*y)/g1^10 + (t^8.707*y)/g1^38 - g1^56*t^8.801*y + 3*g1^28*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 6539 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}^{2}$ | 0.5723 | 0.7286 | 0.7855 | [M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 0.75, 1.0], q:[0.9063, 0.2813], qb:[0.4063, 0.6563], phi:[0.4375]] | t^2.063 + t^2.25 + t^2.438 + t^2.813 + t^3. + t^3.188 + 2*t^3.375 + t^3.938 + t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.688 + 2*t^4.875 + 2*t^5.063 + 3*t^5.25 + 3*t^5.438 + 3*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 37509/65536, c: 47749/65536, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 3/4, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3080 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5829 | 0.7351 | 0.7929 | [M:[0.7246, 1.141, 0.9934, 0.7115, 1.0066, 1.2885, 0.8459], q:[0.9262, 0.3492], qb:[0.3623, 0.6443], phi:[0.4295]] | t^2.134 + t^2.174 + t^2.538 + t^2.98 + t^3.02 + t^3.384 + 2*t^3.423 + t^3.866 + t^4.269 + t^4.308 + t^4.348 + t^4.672 + 2*t^4.711 + t^5.075 + t^5.115 + 2*t^5.154 + t^5.193 + 2*t^5.518 + 3*t^5.557 + t^5.597 + t^5.921 + 2*t^5.961 - t^6. - t^4.289/y - t^4.289*y | detail |