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 |
|---|---|---|---|---|---|---|---|---|---|
| 45945 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6129 | 0.79 | 0.7758 | [M:[0.9693, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]] | [M:[[4], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.135 + 2*t^2.319 + t^2.724 + t^2.908 + t^3.092 + t^3.276 + t^3.497 + t^3.681 + t^3.865 + t^4.086 + 2*t^4.27 + 3*t^4.454 + 3*t^4.638 + t^4.859 + 3*t^5.043 + 3*t^5.227 + 2*t^5.411 + t^5.448 + t^5.595 + 2*t^5.632 + 3*t^5.816 + t^6. + t^6.184 + 2*t^6.221 + t^6.368 + 4*t^6.405 + t^6.552 + 4*t^6.589 + 4*t^6.773 + t^6.81 + 3*t^6.957 + 3*t^6.994 + 5*t^7.178 + 5*t^7.362 + 3*t^7.546 + 2*t^7.583 + 2*t^7.73 + 5*t^7.767 + t^7.914 + 4*t^7.951 + 2*t^8.135 + 2*t^8.172 - t^8.319 + 4*t^8.356 + 7*t^8.54 + t^8.687 + 5*t^8.724 + t^8.871 + t^8.908 + 2*t^8.945 - t^4.546/y - t^6.865/y + (2*t^7.454)/y + t^7.638/y + t^7.859/y + (3*t^8.043)/y + (4*t^8.227)/y + (3*t^8.411)/y + (2*t^8.595)/y + (2*t^8.632)/y + (4*t^8.816)/y - t^4.546*y - t^6.865*y + 2*t^7.454*y + t^7.638*y + t^7.859*y + 3*t^8.043*y + 4*t^8.227*y + 3*t^8.411*y + 2*t^8.595*y + 2*t^8.632*y + 4*t^8.816*y | g1^5*t^2.135 + (2*t^2.319)/g1^3 + g1^12*t^2.724 + g1^4*t^2.908 + t^3.092/g1^4 + t^3.276/g1^12 + g1^11*t^3.497 + g1^3*t^3.681 + t^3.865/g1^5 + g1^18*t^4.086 + 2*g1^10*t^4.27 + 3*g1^2*t^4.454 + (3*t^4.638)/g1^6 + g1^17*t^4.859 + 3*g1^9*t^5.043 + 3*g1*t^5.227 + (2*t^5.411)/g1^7 + g1^24*t^5.448 + t^5.595/g1^15 + 2*g1^16*t^5.632 + 3*g1^8*t^5.816 + t^6. + t^6.184/g1^8 + 2*g1^23*t^6.221 + t^6.368/g1^16 + 4*g1^15*t^6.405 + t^6.552/g1^24 + 4*g1^7*t^6.589 + (4*t^6.773)/g1 + g1^30*t^6.81 + (3*t^6.957)/g1^9 + 3*g1^22*t^6.994 + 5*g1^14*t^7.178 + 5*g1^6*t^7.362 + (3*t^7.546)/g1^2 + 2*g1^29*t^7.583 + (2*t^7.73)/g1^10 + 5*g1^21*t^7.767 + t^7.914/g1^18 + 4*g1^13*t^7.951 + 2*g1^5*t^8.135 + 2*g1^36*t^8.172 - t^8.319/g1^3 + 4*g1^28*t^8.356 + 7*g1^20*t^8.54 + t^8.687/g1^19 + 5*g1^12*t^8.724 + t^8.871/g1^27 + g1^4*t^8.908 + 2*g1^35*t^8.945 - t^4.546/(g1^2*y) - t^6.865/(g1^5*y) + (2*g1^2*t^7.454)/y + t^7.638/(g1^6*y) + (g1^17*t^7.859)/y + (3*g1^9*t^8.043)/y + (4*g1*t^8.227)/y + (3*t^8.411)/(g1^7*y) + (2*t^8.595)/(g1^15*y) + (2*g1^16*t^8.632)/y + (4*g1^8*t^8.816)/y - (t^4.546*y)/g1^2 - (t^6.865*y)/g1^5 + 2*g1^2*t^7.454*y + (t^7.638*y)/g1^6 + g1^17*t^7.859*y + 3*g1^9*t^8.043*y + 4*g1*t^8.227*y + (3*t^8.411*y)/g1^7 + (2*t^8.595*y)/g1^15 + 2*g1^16*t^8.632*y + 4*g1^8*t^8.816*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 |
|---|---|---|---|---|---|---|---|---|
| 46167 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.8156 | 0.7701 | [M:[0.9794, 0.7655, 0.8068], q:[0.7448, 0.2758], qb:[0.4484, 0.4897], phi:[0.5103]] | t^2.173 + 2*t^2.296 + t^2.42 + t^2.814 + t^2.938 + t^3.062 + t^3.186 + t^3.704 + t^3.827 + t^4.221 + 2*t^4.345 + 3*t^4.469 + 4*t^4.593 + 2*t^4.717 + t^4.841 + t^4.987 + 3*t^5.111 + 4*t^5.235 + 3*t^5.358 + 2*t^5.482 + t^5.606 + t^5.628 + t^5.752 + t^5.876 + t^6. - t^4.531/y - t^4.531*y | detail | |
| 46200 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6309 | 0.822 | 0.7676 | [M:[0.9715, 0.7714, 0.7714], q:[0.7429, 0.2857], qb:[0.4287, 0.4857], phi:[0.5143]] | t^2.143 + 3*t^2.314 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.515 + t^3.857 + t^4.115 + 2*t^4.286 + 4*t^4.457 + 6*t^4.628 + t^4.886 + 4*t^5.057 + 4*t^5.229 + 3*t^5.4 + t^5.487 + 2*t^5.571 + 2*t^5.658 + 3*t^5.829 - t^6. - t^4.543/y - t^4.543*y | detail | |
| 46078 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6066 | 0.7783 | 0.7794 | [M:[0.9857, 0.7607, 1.043], q:[0.7464, 0.2679], qb:[0.4642, 0.4928], phi:[0.5072]] | t^2.196 + 2*t^2.282 + t^2.957 + t^3.043 + 2*t^3.129 + t^3.632 + t^3.718 + t^3.804 + t^4.307 + 2*t^4.393 + 3*t^4.479 + 3*t^4.564 + t^5.153 + 3*t^5.239 + 3*t^5.325 + 3*t^5.411 + t^5.828 + 2*t^5.914 - t^4.521/y - t^4.521*y | detail | |
| 46221 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5493 | 0.711 | 0.7725 | [M:[1.0588, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 2*t^2.118 + 2*t^2.471 + t^2.824 + t^3.176 + 2*t^3.529 + t^3.882 + 4*t^4.235 + 4*t^4.588 + 5*t^4.941 + 5*t^5.294 + 4*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 5397/9826, c: 13973/19652, M1: 18/17, M2: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45920 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [M:[0.9566, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y | detail |