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 |
|---|---|---|---|---|---|---|---|---|---|
| 1971 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6683 | 0.8627 | 0.7747 | [X:[], M:[1.2206, 1.1103, 0.7794, 0.7794, 0.7206, 0.7794], q:[0.75, 0.4191], qb:[0.3603, 0.4706], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-2], [2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_6$, $ M_5q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_6q_1q_2$ | . | -2 | t^2.16 + 3*t^2.34 + t^2.49 + t^3. + 2*t^3.33 + t^3.51 + t^3.99 + t^4.01 + t^4.17 + 2*t^4.32 + 3*t^4.5 + t^4.65 + 6*t^4.68 + 3*t^4.83 + t^4.99 + t^5.16 + 3*t^5.34 + 3*t^5.49 + 6*t^5.67 + t^5.82 + 2*t^5.85 - 2*t^6. + 3*t^6.33 + 3*t^6.35 + 3*t^6.49 + 3*t^6.51 + 7*t^6.66 + 2*t^6.82 + 6*t^6.84 + 2*t^6.99 + 11*t^7.01 + t^7.15 + 3*t^7.17 + 4*t^7.32 + t^7.48 + 2*t^7.5 + t^7.52 + 3*t^7.65 + 4*t^7.68 + 6*t^7.83 + 2*t^7.99 + 10*t^8.01 + t^8.03 - t^8.16 + 4*t^8.18 + 2*t^8.32 - 6*t^8.34 - t^8.49 + 3*t^8.65 + 4*t^8.67 + 6*t^8.69 + 8*t^8.82 + 5*t^8.85 + 3*t^8.98 - t^4.5/y - t^6.66/y - (2*t^6.84)/y + t^7.17/y + (3*t^7.5)/y + t^7.65/y + (3*t^7.68)/y + (2*t^7.83)/y + (3*t^8.16)/y + (4*t^8.34)/y + (3*t^8.49)/y + (7*t^8.67)/y + t^8.82/y + (3*t^8.85)/y - t^4.5*y - t^6.66*y - 2*t^6.84*y + t^7.17*y + 3*t^7.5*y + t^7.65*y + 3*t^7.68*y + 2*t^7.83*y + 3*t^8.16*y + 4*t^8.34*y + 3*t^8.49*y + 7*t^8.67*y + t^8.82*y + 3*t^8.85*y | g1^2*t^2.16 + (3*t^2.34)/g1^2 + g1^3*t^2.49 + t^3. + 2*g1*t^3.33 + t^3.51/g1^3 + g1^3*t^3.99 + t^4.01/g1^6 + t^4.17/g1 + 2*g1^4*t^4.32 + 3*t^4.5 + g1^5*t^4.65 + (6*t^4.68)/g1^4 + 3*g1*t^4.83 + g1^6*t^4.99 + g1^2*t^5.16 + (3*t^5.34)/g1^2 + 3*g1^3*t^5.49 + (6*t^5.67)/g1 + g1^4*t^5.82 + (2*t^5.85)/g1^5 - 2*t^6. + 3*g1*t^6.33 + (3*t^6.35)/g1^8 + 3*g1^6*t^6.49 + (3*t^6.51)/g1^3 + 7*g1^2*t^6.66 + 2*g1^7*t^6.82 + (6*t^6.84)/g1^2 + 2*g1^3*t^6.99 + (11*t^7.01)/g1^6 + g1^8*t^7.15 + (3*t^7.17)/g1 + 4*g1^4*t^7.32 + g1^9*t^7.48 + 2*t^7.5 + t^7.52/g1^9 + 3*g1^5*t^7.65 + (4*t^7.68)/g1^4 + 6*g1*t^7.83 + 2*g1^6*t^7.99 + (10*t^8.01)/g1^3 + t^8.03/g1^12 - g1^2*t^8.16 + (4*t^8.18)/g1^7 + 2*g1^7*t^8.32 - (6*t^8.34)/g1^2 - g1^3*t^8.49 + 3*g1^8*t^8.65 + (4*t^8.67)/g1 + (6*t^8.69)/g1^10 + 8*g1^4*t^8.82 + (5*t^8.85)/g1^5 + 3*g1^9*t^8.98 - t^4.5/y - (g1^2*t^6.66)/y - (2*t^6.84)/(g1^2*y) + t^7.17/(g1*y) + (3*t^7.5)/y + (g1^5*t^7.65)/y + (3*t^7.68)/(g1^4*y) + (2*g1*t^7.83)/y + (3*g1^2*t^8.16)/y + (4*t^8.34)/(g1^2*y) + (3*g1^3*t^8.49)/y + (7*t^8.67)/(g1*y) + (g1^4*t^8.82)/y + (3*t^8.85)/(g1^5*y) - t^4.5*y - g1^2*t^6.66*y - (2*t^6.84*y)/g1^2 + (t^7.17*y)/g1 + 3*t^7.5*y + g1^5*t^7.65*y + (3*t^7.68*y)/g1^4 + 2*g1*t^7.83*y + 3*g1^2*t^8.16*y + (4*t^8.34*y)/g1^2 + 3*g1^3*t^8.49*y + (7*t^8.67*y)/g1 + g1^4*t^8.82*y + (3*t^8.85*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 639 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6508 | 0.8317 | 0.7826 | [X:[], M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | t^2.14 + 2*t^2.36 + t^2.46 + t^3. + 2*t^3.32 + t^3.54 + t^3.64 + t^3.96 + t^4.08 + t^4.18 + 2*t^4.28 + 2*t^4.5 + t^4.6 + 3*t^4.72 + 2*t^4.82 + t^4.92 + t^5.14 + 2*t^5.36 + 3*t^5.46 + 4*t^5.68 + 2*t^5.78 + t^5.9 - t^4.5/y - t^4.5*y | detail |