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 |
|---|---|---|---|---|---|---|---|---|---|
| 8 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[0.2414]] | [X:[[2]], M:[[-3]], q:[[2]], qb:[[2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ X_1$, $ M_1q_1\tilde{q}_1$ | . | -2 | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. + t^6.21 + t^6.52 - 2*t^6.72 + 2*t^6.93 + t^7.45 + 3*t^7.66 - t^8.17 + t^8.69 - t^8.9 - t^8.9/y^2 - t^3.72/y - t^5.9/y + t^7.55/y - t^8.07/y + t^8.28/y - t^3.72*y - t^5.9*y + t^7.55*y - t^8.07*y + t^8.28*y - t^8.9*y^2 | t^2.17/g1^3 + g1^4*t^3.1 + 2*g1^3*t^3.83 + t^4.34/g1^6 + g1^2*t^4.55 + g1*t^5.28 - 2*t^6. + g1^8*t^6.21 + t^6.52/g1^9 - (2*t^6.72)/g1 + 2*g1^7*t^6.93 + t^7.45/g1^2 + 3*g1^6*t^7.66 - t^8.17/g1^3 + t^8.69/g1^12 - t^8.9/g1^4 - t^8.9/(g1^4*y^2) - t^3.72/(g1*y) - t^5.9/(g1^4*y) + (g1^2*t^7.55)/y - t^8.07/(g1^7*y) + (g1*t^8.28)/y - (t^3.72*y)/g1 - (t^5.9*y)/g1^4 + g1^2*t^7.55*y - (t^8.07*y)/g1^7 + g1*t^8.28*y - (t^8.9*y^2)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 13 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_2$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[0.7437, 1.2563], q:[0.5042], qb:[0.5042], phi:[0.2479]] | t^3.03 + 3*t^3.77 + t^4.51 - 4*t^6. - t^3.74/y - t^3.74*y | detail | |
| 14 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]] | 2*t^2.14 + t^3.15 + t^3.86 + 3*t^4.27 + t^4.58 + 2*t^5.29 - 2*t^6. - t^3.71/y - (2*t^5.85)/y - t^3.71*y - 2*t^5.85*y | detail | |
| 15 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_1X_2$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556, 1.3333], M:[0.6667, 0.8889], q:[0.5556], qb:[0.5556], phi:[0.2222]] | t^2.67 + 3*t^4. + t^4.67 + t^5.33 - 4*t^6. - t^3.67/y - t^3.67*y | detail | {a: 11/24, c: 1/2, X1: 14/9, X2: 4/3, M1: 2/3, M2: 8/9, q1: 5/9, qb1: 5/9, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 70 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 1.1207], qb:[0.5173, 0.5173], phi:[0.2414]] | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. - t^3.72/y - t^5.9/y - t^3.72*y - t^5.9*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^3.73/y - t^5.85/y - t^3.73*y - t^5.85*y | detail |