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 |
|---|---|---|---|---|---|---|---|---|---|
| 738 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ | 0.614 | 0.75 | 0.8186 | [M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | [M:[[-6], [-14], [6], [6], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.383 + 2*t^2.426 + t^3.531 + t^3.574 + t^3.617 + 2*t^3.66 + t^3.703 + t^4.766 + 3*t^4.809 + 3*t^4.851 + t^5.957 + 2*t^6.043 + 4*t^6.086 + 2*t^6.128 + t^7.063 + 2*t^7.191 + 4*t^7.234 + 4*t^7.277 + 3*t^7.32 + 2*t^7.363 + t^7.406 - t^8.34 - t^8.383 - 2*t^8.426 + 3*t^8.469 + 6*t^8.511 + 3*t^8.554 - t^4.191/y - t^6.574/y - t^6.617/y + t^7.766/y + (3*t^7.809)/y + t^7.851/y + t^8.914/y + (2*t^8.957)/y - t^4.191*y - t^6.574*y - t^6.617*y + t^7.766*y + 3*t^7.809*y + t^7.851*y + t^8.914*y + 2*t^8.957*y | t^2.383/g1^4 + 2*g1^6*t^2.426 + t^3.531/g1^16 + t^3.574/g1^6 + g1^4*t^3.617 + 2*g1^14*t^3.66 + g1^24*t^3.703 + t^4.766/g1^8 + 3*g1^2*t^4.809 + 3*g1^12*t^4.851 + t^5.957/g1^10 + 2*g1^10*t^6.043 + 4*g1^20*t^6.086 + 2*g1^30*t^6.128 + t^7.063/g1^32 + (2*t^7.191)/g1^2 + 4*g1^8*t^7.234 + 4*g1^18*t^7.277 + 3*g1^28*t^7.32 + 2*g1^38*t^7.363 + g1^48*t^7.406 - t^8.34/g1^14 - t^8.383/g1^4 - 2*g1^6*t^8.426 + 3*g1^16*t^8.469 + 6*g1^26*t^8.511 + 3*g1^36*t^8.554 - t^4.191/(g1^2*y) - t^6.574/(g1^6*y) - (g1^4*t^6.617)/y + t^7.766/(g1^8*y) + (3*g1^2*t^7.809)/y + (g1^12*t^7.851)/y + t^8.914/(g1^20*y) + (2*t^8.957)/(g1^10*y) - (t^4.191*y)/g1^2 - (t^6.574*y)/g1^6 - g1^4*t^6.617*y + (t^7.766*y)/g1^8 + 3*g1^2*t^7.809*y + g1^12*t^7.851*y + (t^8.914*y)/g1^20 + (2*t^8.957*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1212 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6301 | 0.7792 | 0.8086 | [M:[1.1962, 0.7912, 0.8038, 0.8038, 1.2088, 0.8038], q:[0.8006, 0.4082], qb:[0.3956, 0.8006], phi:[0.3987]] | t^2.392 + 3*t^2.411 + t^3.57 + t^3.608 + 2*t^3.626 + t^3.645 + t^4.785 + 4*t^4.804 + 6*t^4.823 + t^5.981 - 2*t^6. - t^4.196/y - t^4.196*y | detail | |
| 1214 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6309 | 0.7794 | 0.8094 | [M:[1.1884, 0.773, 0.8116, 0.8116, 1.227, 0.7923], q:[0.8019, 0.4251], qb:[0.3865, 0.8019], phi:[0.3961]] | 2*t^2.377 + 2*t^2.435 + t^3.507 + t^3.565 + 2*t^3.681 + t^3.739 + 3*t^4.754 + 5*t^4.812 + 3*t^4.869 + t^5.884 + 2*t^5.942 - t^6. - t^4.188/y - t^4.188*y | detail | |
| 1990 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6332 | 0.7848 | 0.8069 | [M:[1.1817, 0.7572, 0.8183, 0.8183, 1.2428, 0.7266], q:[0.8031, 0.4397], qb:[0.3786, 0.8031], phi:[0.3939]] | t^2.18 + t^2.363 + 2*t^2.455 + t^3.453 + t^3.545 + t^3.637 + 2*t^3.728 + t^4.36 + t^4.543 + 2*t^4.635 + t^4.727 + 3*t^4.818 + 3*t^4.91 + t^5.633 + t^5.725 + t^5.817 + 3*t^5.908 - t^4.182/y - t^4.182*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 |
|---|---|---|---|---|---|---|---|---|---|
| 441 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.6321 | 0.7818 | 0.8086 | [M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y | detail |