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 |
|---|---|---|---|---|---|---|---|---|---|
| 741 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ | 0.6139 | 0.7503 | 0.8182 | [X:[], M:[0.8066, 0.7845, 1.1934, 0.8177, 1.2044], q:[0.8011, 0.8011], qb:[0.3923, 0.4144], phi:[0.3978]] | [X:[], M:[[6], [-14], [-6], [16], [4]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ q_1q_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$ | $M_2q_1\tilde{q}_2$ | 0 | t^2.35 + t^2.42 + t^2.45 + 2*t^3.58 + 2*t^3.61 + t^3.65 + t^3.68 + t^4.71 + t^4.77 + 2*t^4.81 + t^4.84 + t^4.87 + t^4.91 + t^5.93 + 3*t^6.03 + 2*t^6.07 + 2*t^6.1 + t^6.13 + t^7.06 + 2*t^7.16 + t^7.19 + 2*t^7.23 + 4*t^7.26 + 3*t^7.29 + 2*t^7.33 + 2*t^7.36 + t^8.29 - 2*t^8.35 + t^8.39 - t^8.42 + 3*t^8.49 + 3*t^8.52 + 2*t^8.55 + t^8.59 - t^4.19/y - t^6.55/y - t^6.65/y + t^7.74/y + t^7.77/y + t^7.81/y + t^7.84/y + t^7.87/y - t^8.9/y + (2*t^8.93)/y + (2*t^8.97)/y - t^4.19*y - t^6.55*y - t^6.65*y + t^7.74*y + t^7.77*y + t^7.81*y + t^7.84*y + t^7.87*y - t^8.9*y + 2*t^8.93*y + 2*t^8.97*y | t^2.35/g1^14 + g1^6*t^2.42 + g1^16*t^2.45 + (2*t^3.58)/g1^6 + 2*g1^4*t^3.61 + g1^14*t^3.65 + g1^24*t^3.68 + t^4.71/g1^28 + t^4.77/g1^8 + 2*g1^2*t^4.81 + g1^12*t^4.84 + g1^22*t^4.87 + g1^32*t^4.91 + t^5.93/g1^20 + 3*g1^10*t^6.03 + 2*g1^20*t^6.07 + 2*g1^30*t^6.1 + g1^40*t^6.13 + t^7.06/g1^42 + (2*t^7.16)/g1^12 + t^7.19/g1^2 + 2*g1^8*t^7.23 + 4*g1^18*t^7.26 + 3*g1^28*t^7.29 + 2*g1^38*t^7.33 + 2*g1^48*t^7.36 + t^8.29/g1^34 - (2*t^8.35)/g1^14 + t^8.39/g1^4 - g1^6*t^8.42 + 3*g1^26*t^8.49 + 3*g1^36*t^8.52 + 2*g1^46*t^8.55 + g1^56*t^8.59 - t^4.19/(g1^2*y) - t^6.55/(g1^16*y) - (g1^14*t^6.65)/y + t^7.74/(g1^18*y) + t^7.77/(g1^8*y) + (g1^2*t^7.81)/y + (g1^12*t^7.84)/y + (g1^22*t^7.87)/y - t^8.9/(g1^30*y) + (2*t^8.93)/(g1^20*y) + (2*t^8.97)/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.55*y)/g1^16 - g1^14*t^6.65*y + (t^7.74*y)/g1^18 + (t^7.77*y)/g1^8 + g1^2*t^7.81*y + g1^12*t^7.84*y + g1^22*t^7.87*y - (t^8.9*y)/g1^30 + (2*t^8.93*y)/g1^20 + (2*t^8.97*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1216 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_2M_6$ | 0.597 | 0.7227 | 0.8262 | [X:[], M:[0.798, 0.8047, 1.202, 0.7946, 1.1987, 1.1953], q:[0.7997, 0.7997], qb:[0.4023, 0.3957], phi:[0.4007]] | t^2.38 + t^2.39 + t^3.58 + 2*t^3.59 + 2*t^3.6 + 2*t^3.61 + t^4.77 + t^4.78 + t^4.79 + t^4.8 + t^5.96 + 3*t^5.97 + 3*t^5.98 + 2*t^5.99 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 1217 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6327 | 0.784 | 0.807 | [X:[], M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]] | t^2.21 + t^2.29 + t^2.45 + t^2.52 + 2*t^3.55 + 2*t^3.63 + t^3.71 + t^4.43 + t^4.51 + t^4.58 + t^4.66 + 2*t^4.74 + 2*t^4.82 + t^4.89 + t^4.97 + t^5.05 + 2*t^5.77 + 3*t^5.85 + t^5.92 - t^4.18/y - t^4.18*y | detail | |
| 1986 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6317 | 0.7814 | 0.8084 | [X:[], M:[0.8136, 0.7684, 1.1864, 0.8362, 1.209, 0.7684], q:[0.8023, 0.8023], qb:[0.3842, 0.4294], phi:[0.3955]] | 2*t^2.31 + t^2.44 + t^2.51 + 2*t^3.56 + 2*t^3.63 + t^3.76 + 3*t^4.61 + 2*t^4.75 + 3*t^4.81 + t^4.88 + t^4.95 + t^5.02 + 3*t^5.86 + 2*t^5.93 - t^6. - t^4.19/y - t^4.19*y | detail | {a: 26387/41772, c: 32641/41772, M1: 48/59, M2: 136/177, M3: 70/59, M4: 148/177, M5: 214/177, M6: 136/177, q1: 142/177, q2: 142/177, qb1: 68/177, qb2: 76/177, phi1: 70/177} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 442 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.6307 | 0.7795 | 0.809 | [X:[], M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.34 + t^2.38 + t^2.43 + t^2.47 + 2*t^3.57 + t^3.62 + t^3.66 + t^3.71 + t^4.67 + t^4.72 + 2*t^4.76 + 3*t^4.81 + 2*t^4.85 + t^4.9 + t^4.94 + t^5.91 + t^5.96 + t^6. - t^4.19/y - t^4.19*y | detail |