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 |
|---|---|---|---|---|---|---|---|---|---|
| 2981 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.5713 | 0.699 | 0.8173 | [X:[1.6, 1.4216], M:[0.4, 1.2, 0.5784, 1.0216, 0.9784, 0.7567], q:[1.0, 0.6], qb:[0.4216, 0.3784], phi:[0.4]] | [X:[[0], [1]], M:[[0], [0], [-1], [1], [-1], [-2]], q:[[0], [0]], qb:[[1], [-1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ X_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ X_1$, $ M_5M_6$, $ M_4M_6$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_2M_6$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $M_1^2q_2^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.27 + t^2.4 + t^2.94 + t^3.06 + t^3.47 + 2*t^3.6 + t^4.14 + t^4.26 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.21 + t^5.34 + t^5.74 + 3*t^5.87 + 2*t^6.41 + 2*t^6.54 + t^6.81 + 2*t^6.94 + 3*t^7.07 + 2*t^7.2 - t^7.33 + t^7.48 + 2*t^7.61 + t^7.74 + t^8.01 + 3*t^8.14 + t^8.27 - t^8.53 + 2*t^8.68 + 2*t^8.81 - 2*t^8.94 - t^4.2/y - t^6.47/y + t^7.67/y + t^7.93/y + t^8.21/y + (2*t^8.34)/y + t^8.46/y + (3*t^8.87)/y - t^4.2*y - t^6.47*y + t^7.67*y + t^7.93*y + t^8.21*y + 2*t^8.34*y + t^8.46*y + 3*t^8.87*y | t^2.27/g1^2 + t^2.4 + t^2.94/g1 + g1*t^3.06 + t^3.47/g1^2 + 2*t^3.6 + t^4.14/g1 + g1*t^4.26 + t^4.54/g1^4 + t^4.67/g1^2 + 2*t^4.8 + t^5.21/g1^3 + t^5.34/g1 + t^5.74/g1^4 + (3*t^5.87)/g1^2 + (2*t^6.41)/g1^3 + (2*t^6.54)/g1 + t^6.81/g1^6 + (2*t^6.94)/g1^4 + (3*t^7.07)/g1^2 + 2*t^7.2 - g1^2*t^7.33 + t^7.48/g1^5 + (2*t^7.61)/g1^3 + t^7.74/g1 + t^8.01/g1^6 + (3*t^8.14)/g1^4 + t^8.27/g1^2 - g1^2*t^8.53 + (2*t^8.68)/g1^5 + (2*t^8.81)/g1^3 - (2*t^8.94)/g1 - t^4.2/y - t^6.47/(g1^2*y) + t^7.67/(g1^2*y) + (g1^2*t^7.93)/y + t^8.21/(g1^3*y) + (2*t^8.34)/(g1*y) + (g1*t^8.46)/y + (3*t^8.87)/(g1^2*y) - t^4.2*y - (t^6.47*y)/g1^2 + (t^7.67*y)/g1^2 + g1^2*t^7.93*y + (t^8.21*y)/g1^3 + (2*t^8.34*y)/g1 + g1*t^8.46*y + (3*t^8.87*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3589 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_5M_7$ | 0.5701 | 0.6954 | 0.8198 | [X:[1.6, 1.4048], M:[0.4, 1.2, 0.5952, 1.0048, 0.9952, 0.7903, 1.0048], q:[1.0, 0.6], qb:[0.4048, 0.3952], phi:[0.4]] | t^2.37 + t^2.4 + 2*t^3.01 + t^3.57 + 2*t^3.6 + t^4.19 + t^4.21 + t^4.74 + t^4.77 + 2*t^4.8 + t^5.39 + t^5.41 + t^5.94 + 2*t^5.97 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1944 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ | 0.5535 | 0.666 | 0.8311 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | t^2.4 + 2*t^3. + 4*t^3.6 + 2*t^4.2 + 2*t^4.8 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1107/2000, c: 333/500, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |