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 |
|---|---|---|---|---|---|---|---|---|---|
| 46524 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6364 | 0.8069 | 0.7887 | [M:[1.114, 0.728, 0.772, 1.158], q:[0.75, 0.408], qb:[0.364, 0.478], phi:[0.5]] | [M:[[1], [2], [-2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.184 + 2*t^2.316 + t^3. + 2*t^3.342 + 2*t^3.474 + t^3.684 + t^3.948 + t^4.026 + t^4.158 + 2*t^4.368 + 2*t^4.5 + 3*t^4.632 + t^5.184 + 2*t^5.316 + 2*t^5.526 + 5*t^5.658 + 3*t^5.79 - t^6. + 2*t^6.264 + 2*t^6.342 + 2*t^6.474 + 2*t^6.552 + 5*t^6.684 + 5*t^6.816 + 7*t^6.948 + t^7.026 - t^7.158 + 2*t^7.368 + 2*t^7.422 + 2*t^7.5 + 3*t^7.632 + 3*t^7.71 + 4*t^7.842 + t^7.895 + 6*t^7.974 + t^8.052 + 5*t^8.106 - 4*t^8.184 - 2*t^8.316 + t^8.394 + t^8.526 + 3*t^8.58 + 2*t^8.658 + 3*t^8.736 + 2*t^8.79 + 4*t^8.868 - t^4.5/y - t^6.684/y - t^6.816/y + t^7.026/y + t^7.158/y + (2*t^7.5)/y + t^7.632/y - t^7.842/y - t^7.974/y + (2*t^8.184)/y + (3*t^8.316)/y + (2*t^8.526)/y + (6*t^8.658)/y + (4*t^8.79)/y - t^4.5*y - t^6.684*y - t^6.816*y + t^7.026*y + t^7.158*y + 2*t^7.5*y + t^7.632*y - t^7.842*y - t^7.974*y + 2*t^8.184*y + 3*t^8.316*y + 2*t^8.526*y + 6*t^8.658*y + 4*t^8.79*y | g1^2*t^2.184 + (2*t^2.316)/g1^2 + t^3. + 2*g1*t^3.342 + (2*t^3.474)/g1^3 + g1^2*t^3.684 + t^3.948/g1^6 + g1^3*t^4.026 + t^4.158/g1 + 2*g1^4*t^4.368 + 2*t^4.5 + (3*t^4.632)/g1^4 + g1^2*t^5.184 + (2*t^5.316)/g1^2 + 2*g1^3*t^5.526 + (5*t^5.658)/g1 + (3*t^5.79)/g1^5 - t^6. + (2*t^6.264)/g1^8 + 2*g1*t^6.342 + (2*t^6.474)/g1^3 + 2*g1^6*t^6.552 + 5*g1^2*t^6.684 + (5*t^6.816)/g1^2 + (7*t^6.948)/g1^6 + g1^3*t^7.026 - t^7.158/g1 + 2*g1^4*t^7.368 + (2*t^7.422)/g1^9 + 2*t^7.5 + (3*t^7.632)/g1^4 + 3*g1^5*t^7.71 + 4*g1*t^7.842 + t^7.895/g1^12 + (6*t^7.974)/g1^3 + g1^6*t^8.052 + (5*t^8.106)/g1^7 - 4*g1^2*t^8.184 - (2*t^8.316)/g1^2 + g1^7*t^8.394 + g1^3*t^8.526 + (3*t^8.58)/g1^10 + (2*t^8.658)/g1 + 3*g1^8*t^8.736 + (2*t^8.79)/g1^5 + 4*g1^4*t^8.868 - t^4.5/y - (g1^2*t^6.684)/y - t^6.816/(g1^2*y) + (g1^3*t^7.026)/y + t^7.158/(g1*y) + (2*t^7.5)/y + t^7.632/(g1^4*y) - (g1*t^7.842)/y - t^7.974/(g1^3*y) + (2*g1^2*t^8.184)/y + (3*t^8.316)/(g1^2*y) + (2*g1^3*t^8.526)/y + (6*t^8.658)/(g1*y) + (4*t^8.79)/(g1^5*y) - t^4.5*y - g1^2*t^6.684*y - (t^6.816*y)/g1^2 + g1^3*t^7.026*y + (t^7.158*y)/g1 + 2*t^7.5*y + (t^7.632*y)/g1^4 - g1*t^7.842*y - (t^7.974*y)/g1^3 + 2*g1^2*t^8.184*y + (3*t^8.316*y)/g1^2 + 2*g1^3*t^8.526*y + (6*t^8.658*y)/g1 + (4*t^8.79*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46869 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6337 | 0.8024 | 0.7897 | [M:[1.1, 0.7, 0.8, 1.2], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + t^3.9 + 4*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 4*t^5.4 + 5*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 20277/32000, c: 25677/32000, M1: 11/10, M2: 7/10, M3: 4/5, M4: 6/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 47047 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6467 | 0.8249 | 0.784 | [M:[1.1169, 0.7339, 0.7661, 1.1492, 0.8831], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]] | t^2.202 + 2*t^2.298 + t^2.649 + t^3. + t^3.351 + 2*t^3.448 + t^3.702 + t^3.895 + t^4.052 + t^4.149 + 2*t^4.403 + 2*t^4.5 + 3*t^4.597 + t^4.851 + 2*t^4.948 + t^5.202 + 3*t^5.298 + t^5.552 + 4*t^5.649 + 3*t^5.746 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46201 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6426 | 0.819 | 0.7847 | [M:[1.1608, 0.6858, 0.6783, 1.1534], q:[0.75, 0.4034], qb:[0.4108, 0.4358], phi:[0.5]] | t^2.035 + t^2.057 + t^2.443 + t^3. + 2*t^3.46 + 2*t^3.482 + t^3.557 + t^3.92 + t^4.018 + t^4.04 + t^4.07 + t^4.092 + 2*t^4.115 + t^4.478 + t^4.5 + t^4.885 + t^5.035 + t^5.057 + t^5.443 + 2*t^5.495 + 4*t^5.518 + 2*t^5.54 + t^5.592 + t^5.615 + t^5.903 + t^5.925 + t^5.955 - 2*t^6. - t^4.5/y - t^4.5*y | detail |