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 |
|---|---|---|---|---|---|---|---|---|---|
| 46491 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6356 | 0.8354 | 0.7609 | [M:[0.9443, 0.8329, 0.7215, 0.9443], q:[0.7361, 0.3196], qb:[0.431, 0.4019], phi:[0.5279]] | [M:[[4], [12], [20], [4]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.164 + t^2.252 + 2*t^2.499 + 2*t^2.833 + t^3.414 + t^3.501 + t^3.748 + t^3.995 + t^4.082 + t^4.17 + 3*t^4.329 + 2*t^4.416 + t^4.504 + 4*t^4.663 + 2*t^4.751 + 7*t^4.997 + 2*t^5.085 + 4*t^5.332 + 2*t^5.578 + 4*t^5.666 + 3*t^5.912 - t^6. - t^6.088 + 2*t^6.159 + 5*t^6.247 + t^6.334 + t^6.422 + 6*t^6.493 + 5*t^6.581 + 2*t^6.668 + t^6.756 + 8*t^6.828 + 4*t^6.915 + 2*t^7.003 + 12*t^7.162 + 4*t^7.249 + t^7.409 + 12*t^7.496 + t^7.584 - t^7.671 + 4*t^7.743 + 11*t^7.83 + t^7.989 + 6*t^8.077 + 2*t^8.164 - 4*t^8.252 + 3*t^8.324 + 10*t^8.411 - t^8.499 - 3*t^8.586 + 9*t^8.658 + t^8.674 + 11*t^8.745 - 6*t^8.833 + 15*t^8.992 - t^4.584/y - t^6.748/y - t^7.082/y + t^7.329/y + t^7.416/y + (4*t^7.663)/y + (3*t^7.751)/y + (5*t^7.997)/y + (3*t^8.085)/y + (4*t^8.332)/y + t^8.419/y + (2*t^8.578)/y + (4*t^8.666)/y + t^8.753/y + (3*t^8.912)/y - t^4.584*y - t^6.748*y - t^7.082*y + t^7.329*y + t^7.416*y + 4*t^7.663*y + 3*t^7.751*y + 5*t^7.997*y + 3*t^8.085*y + 4*t^8.332*y + t^8.419*y + 2*t^8.578*y + 4*t^8.666*y + t^8.753*y + 3*t^8.912*y | 2*g1^20*t^2.164 + t^2.252/g1^18 + 2*g1^12*t^2.499 + 2*g1^4*t^2.833 + g1^26*t^3.414 + t^3.501/g1^12 + g1^18*t^3.748 + g1^48*t^3.995 + g1^10*t^4.082 + t^4.17/g1^28 + 3*g1^40*t^4.329 + 2*g1^2*t^4.416 + t^4.504/g1^36 + 4*g1^32*t^4.663 + (2*t^4.751)/g1^6 + 7*g1^24*t^4.997 + (2*t^5.085)/g1^14 + 4*g1^16*t^5.332 + 2*g1^46*t^5.578 + 4*g1^8*t^5.666 + 3*g1^38*t^5.912 - t^6. - t^6.088/g1^38 + 2*g1^68*t^6.159 + 5*g1^30*t^6.247 + t^6.334/g1^8 + t^6.422/g1^46 + 6*g1^60*t^6.493 + 5*g1^22*t^6.581 + (2*t^6.668)/g1^16 + t^6.756/g1^54 + 8*g1^52*t^6.828 + 4*g1^14*t^6.915 + (2*t^7.003)/g1^24 + 12*g1^44*t^7.162 + 4*g1^6*t^7.249 + g1^74*t^7.409 + 12*g1^36*t^7.496 + t^7.584/g1^2 - t^7.671/g1^40 + 4*g1^66*t^7.743 + 11*g1^28*t^7.83 + g1^96*t^7.989 + 6*g1^58*t^8.077 + 2*g1^20*t^8.164 - (4*t^8.252)/g1^18 + 3*g1^88*t^8.324 + 10*g1^50*t^8.411 - g1^12*t^8.499 - (3*t^8.586)/g1^26 + 9*g1^80*t^8.658 + t^8.674/g1^64 + 11*g1^42*t^8.745 - 6*g1^4*t^8.833 + 15*g1^72*t^8.992 - t^4.584/(g1^2*y) - (g1^18*t^6.748)/y - (g1^10*t^7.082)/y + (g1^40*t^7.329)/y + (g1^2*t^7.416)/y + (4*g1^32*t^7.663)/y + (3*t^7.751)/(g1^6*y) + (5*g1^24*t^7.997)/y + (3*t^8.085)/(g1^14*y) + (4*g1^16*t^8.332)/y + t^8.419/(g1^22*y) + (2*g1^46*t^8.578)/y + (4*g1^8*t^8.666)/y + t^8.753/(g1^30*y) + (3*g1^38*t^8.912)/y - (t^4.584*y)/g1^2 - g1^18*t^6.748*y - g1^10*t^7.082*y + g1^40*t^7.329*y + g1^2*t^7.416*y + 4*g1^32*t^7.663*y + (3*t^7.751*y)/g1^6 + 5*g1^24*t^7.997*y + (3*t^8.085*y)/g1^14 + 4*g1^16*t^8.332*y + (t^8.419*y)/g1^22 + 2*g1^46*t^8.578*y + 4*g1^8*t^8.666*y + (t^8.753*y)/g1^30 + 3*g1^38*t^8.912*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 |
|---|---|---|---|---|---|---|---|---|
| 47023 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6215 | 0.8097 | 0.7675 | [M:[0.9461, 0.8384, 0.7307, 0.9461, 1.1616], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]] | 2*t^2.192 + t^2.227 + t^2.515 + 2*t^2.838 + t^3.45 + 2*t^3.485 + t^3.773 + t^4.061 + t^4.096 + t^4.131 + 3*t^4.384 + 2*t^4.419 + t^4.454 + 2*t^4.707 + t^4.742 + 5*t^5.03 + 2*t^5.066 + 2*t^5.354 + 2*t^5.642 + 6*t^5.677 + t^5.712 + 2*t^5.965 - t^6. - t^4.581/y - t^4.581*y | detail | |
| 47090 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6548 | 0.8694 | 0.7531 | [M:[0.9458, 0.8373, 0.7289, 0.9458, 0.744], q:[0.7364, 0.3178], qb:[0.4262, 0.4111], phi:[0.5271]] | 2*t^2.187 + 2*t^2.232 + 2*t^2.512 + 2*t^2.837 + t^3.443 + t^3.488 + t^4.048 + t^4.093 + t^4.139 + 3*t^4.373 + 4*t^4.419 + 3*t^4.464 + 4*t^4.699 + 4*t^4.744 + 7*t^5.024 + 4*t^5.069 + 4*t^5.349 + 2*t^5.629 + 5*t^5.675 + t^5.72 + t^5.955 - 2*t^6. - t^4.581/y - t^4.581*y | detail | |
| 47082 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.6351 | 0.8324 | 0.7629 | [M:[0.9474, 0.8421, 0.7368, 0.9474], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.211 + 2*t^2.526 + 2*t^2.842 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 9*t^5.053 + 4*t^5.368 + 6*t^5.684 + t^6. - t^4.579/y - t^4.579*y | detail | {a: 4356/6859, c: 22839/27436, M1: 18/19, M2: 16/19, M3: 14/19, M4: 18/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46290 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6305 | 0.8262 | 0.7631 | [M:[0.9451, 0.8352, 0.7254], q:[0.7363, 0.3187], qb:[0.4285, 0.4067], phi:[0.5275]] | 2*t^2.176 + t^2.241 + 2*t^2.506 + t^2.835 + t^3.165 + t^3.429 + t^3.494 + t^3.759 + t^4.023 + t^4.088 + t^4.153 + 3*t^4.352 + 2*t^4.418 + t^4.483 + 4*t^4.682 + 2*t^4.747 + 5*t^5.011 + t^5.077 + 4*t^5.341 + t^5.406 + 2*t^5.605 + 4*t^5.67 + 3*t^5.935 - t^4.582/y - t^4.582*y | detail |