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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[4], [12], [20]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 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^6.065 + 2*t^6.199 + 4*t^6.264 + t^6.33 + t^6.395 + 6*t^6.528 + 5*t^6.594 + 3*t^6.659 + t^6.724 + 7*t^6.858 + 4*t^6.923 + t^6.989 + 10*t^7.187 + 3*t^7.253 + t^7.452 + 11*t^7.517 + t^7.582 + 4*t^7.781 + 8*t^7.847 + t^8.045 + 6*t^8.111 + 3*t^8.176 - 3*t^8.241 + 3*t^8.375 + 8*t^8.44 - t^8.506 - 2*t^8.571 + t^8.636 + 9*t^8.704 + 10*t^8.77 - t^8.835 + t^8.901 + t^8.966 - t^4.582/y - t^6.759/y - t^7.088/y + t^7.352/y + (2*t^7.418)/y + (4*t^7.682)/y + (2*t^7.747)/y + (3*t^8.011)/y + (2*t^8.077)/y + (4*t^8.341)/y + (2*t^8.406)/y + (2*t^8.605)/y + (5*t^8.67)/y + t^8.736/y + (3*t^8.935)/y - t^4.582*y - t^6.759*y - t^7.088*y + t^7.352*y + 2*t^7.418*y + 4*t^7.682*y + 2*t^7.747*y + 3*t^8.011*y + 2*t^8.077*y + 4*t^8.341*y + 2*t^8.406*y + 2*t^8.605*y + 5*t^8.67*y + t^8.736*y + 3*t^8.935*y | 2*g1^20*t^2.176 + t^2.241/g1^18 + 2*g1^12*t^2.506 + g1^4*t^2.835 + t^3.165/g1^4 + g1^26*t^3.429 + t^3.494/g1^12 + g1^18*t^3.759 + g1^48*t^4.023 + g1^10*t^4.088 + t^4.153/g1^28 + 3*g1^40*t^4.352 + 2*g1^2*t^4.418 + t^4.483/g1^36 + 4*g1^32*t^4.682 + (2*t^4.747)/g1^6 + 5*g1^24*t^5.011 + t^5.077/g1^14 + 4*g1^16*t^5.341 + t^5.406/g1^22 + 2*g1^46*t^5.605 + 4*g1^8*t^5.67 + 3*g1^38*t^5.935 - t^6.065/g1^38 + 2*g1^68*t^6.199 + 4*g1^30*t^6.264 + t^6.33/g1^8 + t^6.395/g1^46 + 6*g1^60*t^6.528 + 5*g1^22*t^6.594 + (3*t^6.659)/g1^16 + t^6.724/g1^54 + 7*g1^52*t^6.858 + 4*g1^14*t^6.923 + t^6.989/g1^24 + 10*g1^44*t^7.187 + 3*g1^6*t^7.253 + g1^74*t^7.452 + 11*g1^36*t^7.517 + t^7.582/g1^2 + 4*g1^66*t^7.781 + 8*g1^28*t^7.847 + g1^96*t^8.045 + 6*g1^58*t^8.111 + 3*g1^20*t^8.176 - (3*t^8.241)/g1^18 + 3*g1^88*t^8.375 + 8*g1^50*t^8.44 - g1^12*t^8.506 - (2*t^8.571)/g1^26 + t^8.636/g1^64 + 9*g1^80*t^8.704 + 10*g1^42*t^8.77 - g1^4*t^8.835 + t^8.901/g1^34 + t^8.966/g1^72 - t^4.582/(g1^2*y) - (g1^18*t^6.759)/y - (g1^10*t^7.088)/y + (g1^40*t^7.352)/y + (2*g1^2*t^7.418)/y + (4*g1^32*t^7.682)/y + (2*t^7.747)/(g1^6*y) + (3*g1^24*t^8.011)/y + (2*t^8.077)/(g1^14*y) + (4*g1^16*t^8.341)/y + (2*t^8.406)/(g1^22*y) + (2*g1^46*t^8.605)/y + (5*g1^8*t^8.67)/y + t^8.736/(g1^30*y) + (3*g1^38*t^8.935)/y - (t^4.582*y)/g1^2 - g1^18*t^6.759*y - g1^10*t^7.088*y + g1^40*t^7.352*y + 2*g1^2*t^7.418*y + 4*g1^32*t^7.682*y + (2*t^7.747*y)/g1^6 + 3*g1^24*t^8.011*y + (2*t^8.077*y)/g1^14 + 4*g1^16*t^8.341*y + (2*t^8.406*y)/g1^22 + 2*g1^46*t^8.605*y + 5*g1^8*t^8.67*y + (t^8.736*y)/g1^30 + 3*g1^38*t^8.935*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 |
|---|---|---|---|---|---|---|---|---|
| 46491 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ | 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]] | 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^4.584/y - t^4.584*y | detail | |
| 46361 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6441 | 0.8475 | 0.76 | [M:[0.949, 0.847, 0.7451, 0.8314], q:[0.7373, 0.3137], qb:[0.4157, 0.4313], phi:[0.5255]] | t^2.188 + 2*t^2.235 + t^2.494 + 2*t^2.541 + t^2.847 + t^3.153 + t^3.459 + t^3.812 + t^4.071 + t^4.118 + t^4.164 + t^4.377 + 2*t^4.424 + 3*t^4.47 + t^4.683 + 4*t^4.729 + 4*t^4.776 + t^4.988 + 3*t^5.035 + 5*t^5.082 + 2*t^5.341 + 4*t^5.388 + t^5.647 + 3*t^5.694 - t^4.576/y - t^4.576*y | detail | |
| 46379 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.6302 | 0.8243 | 0.7645 | [M:[0.9474, 0.8421, 0.7368], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 6*t^5.053 + 5*t^5.368 + 6*t^5.684 + 2*t^6. - t^4.579/y - t^4.579*y | detail | {a: 69159/109744, c: 45229/54872, M1: 18/19, M2: 16/19, M3: 14/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6107 | 0.7887 | 0.7743 | [M:[0.9465, 0.8395], q:[0.7366, 0.3169], qb:[0.4238, 0.4157], phi:[0.5267]] | t^2.198 + t^2.222 + 2*t^2.519 + t^2.84 + t^3.16 + t^3.457 + t^3.481 + t^3.778 + t^3.802 + t^4.074 + t^4.099 + t^4.123 + t^4.395 + t^4.42 + t^4.444 + 2*t^4.716 + 2*t^4.741 + 4*t^5.037 + t^5.062 + 3*t^5.358 + t^5.383 + t^5.655 + 3*t^5.679 + 2*t^5.976 + t^6. - t^4.58/y - t^4.58*y | detail |