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 |
|---|---|---|---|---|---|---|---|---|---|
| 1964 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ | 0.6593 | 0.8469 | 0.7784 | [X:[], M:[1.1992, 1.0996, 0.8008, 0.9004, 0.6992, 0.7987], q:[0.75, 0.4513], qb:[0.3496, 0.4492], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [2], [3]], 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_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_6^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_3M_6$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_6q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_1M_6$, $ M_6q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | 0 | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.19 + t^4.2 + t^4.21 + 2*t^4.49 + t^4.5 + 3*t^4.79 + 3*t^4.8 + t^4.81 + 4*t^5.1 + 5*t^5.4 + 3*t^5.69 + t^5.7 + 4*t^5.99 - t^6.01 + 4*t^6.29 + 2*t^6.3 + 4*t^6.59 + 6*t^6.6 + t^6.61 + 3*t^6.89 + 5*t^6.9 + t^6.91 + 12*t^7.19 + t^7.21 + 7*t^7.49 + t^7.5 + 8*t^7.79 + 3*t^7.8 + t^7.81 + 6*t^8.09 + 9*t^8.39 + t^8.42 + 12*t^8.69 - 3*t^8.7 - t^8.71 + 16*t^8.99 - t^4.5/y - t^6.6/y - t^6.9/y + (2*t^7.49)/y + t^7.5/y + t^7.79/y + (3*t^7.8)/y + (5*t^8.1)/y + (5*t^8.4)/y + (3*t^8.69)/y + (2*t^8.7)/y + (4*t^8.99)/y - t^4.5*y - t^6.6*y - t^6.9*y + 2*t^7.49*y + t^7.5*y + t^7.79*y + 3*t^7.8*y + 5*t^8.1*y + 5*t^8.4*y + 3*t^8.69*y + 2*t^8.7*y + 4*t^8.99*y | g1^2*t^2.1 + t^2.4/g1^2 + 2*g1^3*t^2.4 + t^2.7/g1 + t^3. + g1*t^3.3 + 2*g1^2*t^3.6 + g1^3*t^3.9 + 2*g1^4*t^4.19 + t^4.2/g1 + t^4.21/g1^6 + 2*g1^5*t^4.49 + t^4.5 + 3*g1^6*t^4.79 + 3*g1*t^4.8 + t^4.81/g1^4 + t^5.1/g1^3 + 3*g1^2*t^5.1 + (2*t^5.4)/g1^2 + 3*g1^3*t^5.4 + 3*g1^4*t^5.69 + t^5.7/g1 + 4*g1^5*t^5.99 - t^6.01/g1^5 + 4*g1^6*t^6.29 + 2*g1*t^6.3 + 4*g1^7*t^6.59 + t^6.6/g1^3 + 5*g1^2*t^6.6 + t^6.61/g1^8 + 3*g1^8*t^6.89 + 5*g1^3*t^6.9 + t^6.91/g1^7 + 8*g1^4*t^7.19 + 4*g1^9*t^7.19 + t^7.21/g1^6 + 7*g1^5*t^7.49 + t^7.5 + 8*g1^6*t^7.79 + 3*g1*t^7.8 + t^7.81/g1^4 + 6*g1^7*t^8.09 + 9*g1^8*t^8.39 - t^8.4/g1^2 + g1^3*t^8.4 + t^8.42/g1^12 + 5*g1^4*t^8.69 + 7*g1^9*t^8.69 - (3*t^8.7)/g1 - t^8.71/g1^6 + 10*g1^5*t^8.99 + 6*g1^10*t^8.99 - t^4.5/y - (g1^2*t^6.6)/y - (g1^3*t^6.9)/y + (2*g1^5*t^7.49)/y + t^7.5/y + (g1^6*t^7.79)/y + (3*g1*t^7.8)/y + (2*t^8.1)/(g1^3*y) + (3*g1^2*t^8.1)/y + (2*t^8.4)/(g1^2*y) + (3*g1^3*t^8.4)/y + (3*g1^4*t^8.69)/y + (2*t^8.7)/(g1*y) + (4*g1^5*t^8.99)/y - t^4.5*y - g1^2*t^6.6*y - g1^3*t^6.9*y + 2*g1^5*t^7.49*y + t^7.5*y + g1^6*t^7.79*y + 3*g1*t^7.8*y + (2*t^8.1*y)/g1^3 + 3*g1^2*t^8.1*y + (2*t^8.4*y)/g1^2 + 3*g1^3*t^8.4*y + 3*g1^4*t^8.69*y + (2*t^8.7*y)/g1 + 4*g1^5*t^8.99*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 638 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6432 | 0.8175 | 0.7868 | [X:[], M:[1.2117, 1.1059, 0.7883, 0.8941, 0.7117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | t^2.14 + t^2.36 + t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.55 + 2*t^3.64 + t^3.95 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.5 + t^4.59 + t^4.73 + 2*t^4.82 + t^4.91 + t^5.05 + 2*t^5.14 + 2*t^5.36 + 2*t^5.45 + 2*t^5.68 + 2*t^5.77 + t^6. - t^4.5/y - t^4.5*y | detail |