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 |
|---|---|---|---|---|---|---|---|---|---|
| 854 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6126 | 0.807 | 0.7591 | [M:[0.9185, 1.2444, 0.9185, 0.7556, 0.7556], q:[0.7296, 0.3518], qb:[0.3518, 0.4038], phi:[0.5407]] | [M:[[4], [-12], [4], [12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 3 | t^2.111 + 3*t^2.267 + 2*t^2.756 + t^3.244 + t^3.4 + 2*t^3.733 + 2*t^3.889 + t^4.045 + t^4.222 + 3*t^4.378 + 6*t^4.534 + 2*t^4.867 + 6*t^5.022 + t^5.355 + 6*t^5.511 + 3*t^5.667 + 3*t^6. + 6*t^6.156 + 3*t^6.312 + t^6.333 + 3*t^6.489 + 8*t^6.645 + 12*t^6.801 + t^6.978 + 4*t^7.133 + 13*t^7.289 + t^7.445 + t^7.466 + 2*t^7.622 + 14*t^7.778 + 8*t^7.934 + t^8.09 - 3*t^8.111 + 5*t^8.267 + 12*t^8.423 + t^8.444 + 6*t^8.579 - t^8.6 - 2*t^8.756 + 15*t^8.912 - t^4.622/y - t^6.889/y + (2*t^7.378)/y + (3*t^7.534)/y + (3*t^7.867)/y + (6*t^8.022)/y + (2*t^8.355)/y + (5*t^8.511)/y + (3*t^8.667)/y + (2*t^8.844)/y - t^4.622*y - t^6.889*y + 2*t^7.378*y + 3*t^7.534*y + 3*t^7.867*y + 6*t^8.022*y + 2*t^8.355*y + 5*t^8.511*y + 3*t^8.667*y + 2*t^8.844*y | t^2.111/g1^10 + 3*g1^12*t^2.267 + 2*g1^4*t^2.756 + t^3.244/g1^4 + g1^18*t^3.4 + (2*t^3.733)/g1^12 + 2*g1^10*t^3.889 + g1^32*t^4.045 + t^4.222/g1^20 + 3*g1^2*t^4.378 + 6*g1^24*t^4.534 + (2*t^4.867)/g1^6 + 6*g1^16*t^5.022 + t^5.355/g1^14 + 6*g1^8*t^5.511 + 3*g1^30*t^5.667 + 3*t^6. + 6*g1^22*t^6.156 + 3*g1^44*t^6.312 + t^6.333/g1^30 + (3*t^6.489)/g1^8 + 8*g1^14*t^6.645 + 12*g1^36*t^6.801 + t^6.978/g1^16 + 4*g1^6*t^7.133 + 13*g1^28*t^7.289 + g1^50*t^7.445 + t^7.466/g1^24 + (2*t^7.622)/g1^2 + 14*g1^20*t^7.778 + 8*g1^42*t^7.934 + g1^64*t^8.09 - (3*t^8.111)/g1^10 + 5*g1^12*t^8.267 + 12*g1^34*t^8.423 + t^8.444/g1^40 + 6*g1^56*t^8.579 - t^8.6/g1^18 - 2*g1^4*t^8.756 + 15*g1^26*t^8.912 - t^4.622/(g1^2*y) - (g1^10*t^6.889)/y + (2*g1^2*t^7.378)/y + (3*g1^24*t^7.534)/y + (3*t^7.867)/(g1^6*y) + (6*g1^16*t^8.022)/y + (2*t^8.355)/(g1^14*y) + (5*g1^8*t^8.511)/y + (3*g1^30*t^8.667)/y + (2*t^8.844)/(g1^22*y) - (t^4.622*y)/g1^2 - g1^10*t^6.889*y + 2*g1^2*t^7.378*y + 3*g1^24*t^7.534*y + (3*t^7.867*y)/g1^6 + 6*g1^16*t^8.022*y + (2*t^8.355*y)/g1^14 + 5*g1^8*t^8.511*y + 3*g1^30*t^8.667*y + (2*t^8.844*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1347 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6331 | 0.8457 | 0.7486 | [M:[0.9195, 1.2415, 0.9195, 0.7585, 0.7585, 0.7012], q:[0.7299, 0.3506], qb:[0.3506, 0.4079], phi:[0.5402]] | 2*t^2.104 + 3*t^2.276 + 2*t^2.759 + t^3.241 + t^3.413 + 2*t^3.724 + t^3.896 + t^4.068 + 3*t^4.207 + 6*t^4.379 + 6*t^4.551 + 4*t^4.862 + 6*t^5.034 + 2*t^5.345 + 7*t^5.517 + 3*t^5.689 + 2*t^5.828 + 3*t^6. - t^4.621/y - t^4.621*y | detail | |
| 2039 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6201 | 0.8206 | 0.7557 | [M:[0.9167, 1.2499, 0.9167, 0.7501, 0.7501, 0.9167], q:[0.7292, 0.3541], qb:[0.3541, 0.396], phi:[0.5416]] | t^2.125 + 3*t^2.25 + 3*t^2.75 + t^3.376 + 2*t^3.75 + 2*t^3.875 + t^4.001 + t^4.249 + 3*t^4.375 + 6*t^4.501 + 3*t^4.875 + 9*t^5.001 + 6*t^5.5 + 3*t^5.626 + t^6. - t^4.625/y - t^4.625*y | detail | |
| 2041 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6256 | 0.8271 | 0.7564 | [M:[0.9254, 1.2239, 0.9254, 0.7761, 0.7761, 0.8358], q:[0.7313, 0.3433], qb:[0.3433, 0.4328], phi:[0.5373]] | t^2.06 + 3*t^2.328 + t^2.508 + 2*t^2.776 + t^3.224 + 2*t^3.672 + 2*t^3.94 + t^4.119 + t^4.209 + 3*t^4.388 + t^4.567 + 6*t^4.657 + 5*t^4.836 + t^5.015 + 6*t^5.104 + 3*t^5.284 + 5*t^5.552 + t^5.731 + 3*t^6. - t^4.612/y - t^4.612*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 |
|---|---|---|---|---|---|---|---|---|---|
| 545 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6216 | 0.8089 | 0.7684 | [M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]] | 2*t^2.188 + t^2.237 + t^2.547 + 2*t^2.849 + t^3.453 + t^3.461 + t^3.51 + t^3.763 + t^4.073 + t^4.122 + t^4.171 + 3*t^4.375 + 2*t^4.424 + t^4.474 + 2*t^4.734 + t^4.783 + 4*t^5.036 + 2*t^5.086 + t^5.093 + 2*t^5.395 + t^5.641 + 2*t^5.649 + 5*t^5.698 + t^5.747 + t^5.951 - 2*t^6. - t^4.576/y - t^4.576*y | detail |