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 |
|---|---|---|---|---|---|---|---|---|---|
| 3170 | 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$ + $ M_2M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.5878 | 0.728 | 0.8074 | [X:[1.6, 1.3784], M:[0.4, 1.2, 0.6216, 0.9784, 1.0216, 0.8, 0.7567], q:[1.0, 0.6], qb:[0.3784, 0.4216], phi:[0.4]] | [X:[[0], [1]], M:[[0], [0], [-1], [1], [-1], [0], [2]], q:[[0], [0]], qb:[[1], [-1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ X_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ X_1$, $ M_4M_7$, $ M_4M_6$, $ M_5M_7$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $M_1^2q_2^2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.27 + 2*t^2.4 + t^2.94 + t^3.06 + t^3.47 + t^3.6 + t^4.14 + t^4.26 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.21 + 2*t^5.34 + t^5.46 + t^5.74 + 3*t^5.87 + 2*t^6.41 + 2*t^6.54 + t^6.81 + 3*t^6.94 + 4*t^7.07 + 4*t^7.2 - t^7.33 + t^7.48 + 3*t^7.61 + 2*t^7.74 + t^8.01 + 3*t^8.14 + 3*t^8.27 - 2*t^8.4 - t^8.53 + 2*t^8.68 + 3*t^8.81 - t^8.94 - t^4.2/y - t^6.47/y - t^6.6/y + (2*t^7.67)/y + (2*t^7.8)/y + t^7.93/y + t^8.21/y + (3*t^8.34)/y + (2*t^8.46)/y + (2*t^8.87)/y - t^4.2*y - t^6.47*y - t^6.6*y + 2*t^7.67*y + 2*t^7.8*y + t^7.93*y + t^8.21*y + 3*t^8.34*y + 2*t^8.46*y + 2*t^8.87*y | g1^2*t^2.27 + 2*t^2.4 + g1*t^2.94 + t^3.06/g1 + g1^2*t^3.47 + t^3.6 + g1*t^4.14 + t^4.26/g1 + g1^4*t^4.54 + 2*g1^2*t^4.67 + 4*t^4.8 + g1^3*t^5.21 + 2*g1*t^5.34 + t^5.46/g1 + g1^4*t^5.74 + 3*g1^2*t^5.87 + 2*g1^3*t^6.41 + 2*g1*t^6.54 + g1^6*t^6.81 + 3*g1^4*t^6.94 + 4*g1^2*t^7.07 + 4*t^7.2 - t^7.33/g1^2 + g1^5*t^7.48 + 3*g1^3*t^7.61 + 2*g1*t^7.74 + g1^6*t^8.01 + 3*g1^4*t^8.14 + 3*g1^2*t^8.27 - 2*t^8.4 - t^8.53/g1^2 + 2*g1^5*t^8.68 + 3*g1^3*t^8.81 - g1*t^8.94 - t^4.2/y - (g1^2*t^6.47)/y - t^6.6/y + (2*g1^2*t^7.67)/y + (2*t^7.8)/y + t^7.93/(g1^2*y) + (g1^3*t^8.21)/y + (3*g1*t^8.34)/y + (2*t^8.46)/(g1*y) + (2*g1^2*t^8.87)/y - t^4.2*y - g1^2*t^6.47*y - t^6.6*y + 2*g1^2*t^7.67*y + 2*t^7.8*y + (t^7.93*y)/g1^2 + g1^3*t^8.21*y + 3*g1*t^8.34*y + (2*t^8.46*y)/g1 + 2*g1^2*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 5053 | $M_1q_1q_2$ + $ 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$ + $ M_2M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_8$ | 0.5866 | 0.7244 | 0.8098 | [X:[1.6, 1.3952], M:[0.4, 1.2, 0.6048, 0.9952, 1.0048, 0.8, 0.7903, 1.0048], q:[1.0, 0.6], qb:[0.3952, 0.4048], phi:[0.4]] | t^2.37 + 2*t^2.4 + 2*t^3.01 + t^3.57 + t^3.6 + t^4.19 + t^4.21 + t^4.74 + 2*t^4.77 + 4*t^4.8 + t^5.39 + 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2098 | 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$ + $ M_2M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ | 0.57 | 0.695 | 0.8201 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 57/100, c: 139/200, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, M6: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |