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 |
|---|---|---|---|---|---|---|---|---|---|
| 1986 | 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$ + $ 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]] | [X:[], M:[[6], [-14], [-6], [16], [4], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_1M_2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_4M_6$, $ q_1q_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_2M_3$, $ M_3M_6$, $ M_2q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_2M_5$, $ M_5M_6$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | 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. + 4*t^6.07 + t^6.14 + t^6.2 + t^6.27 + 4*t^6.92 + 2*t^7.05 + 5*t^7.12 + 2*t^7.19 + t^7.25 + 3*t^7.32 + 2*t^7.39 + t^7.46 + 2*t^7.53 + 4*t^8.17 + 2*t^8.24 - 4*t^8.31 + 5*t^8.37 - t^8.44 - t^8.51 + 3*t^8.58 + 2*t^8.64 + t^8.71 + t^8.78 - t^4.19/y - (2*t^6.49)/y - t^6.69/y + t^7.61/y + t^7.68/y + (2*t^7.75)/y + (2*t^7.81)/y + (2*t^7.88)/y + t^7.95/y - (3*t^8.8)/y + (4*t^8.86)/y + (4*t^8.93)/y - t^4.19*y - 2*t^6.49*y - t^6.69*y + t^7.61*y + t^7.68*y + 2*t^7.75*y + 2*t^7.81*y + 2*t^7.88*y + t^7.95*y - 3*t^8.8*y + 4*t^8.86*y + 4*t^8.93*y | (2*t^2.31)/g1^14 + g1^6*t^2.44 + g1^16*t^2.51 + (2*t^3.56)/g1^6 + 2*g1^4*t^3.63 + g1^24*t^3.76 + (3*t^4.61)/g1^28 + (2*t^4.75)/g1^8 + 3*g1^2*t^4.81 + g1^12*t^4.88 + g1^22*t^4.95 + g1^32*t^5.02 + (3*t^5.86)/g1^20 + (2*t^5.93)/g1^10 - t^6. + 4*g1^10*t^6.07 + g1^20*t^6.14 + g1^30*t^6.2 + g1^40*t^6.27 + (4*t^6.92)/g1^42 + (2*t^7.05)/g1^22 + (5*t^7.12)/g1^12 + (2*t^7.19)/g1^2 + g1^8*t^7.25 + 3*g1^18*t^7.32 + 2*g1^28*t^7.39 + g1^38*t^7.46 + 2*g1^48*t^7.53 + (4*t^8.17)/g1^34 + (2*t^8.24)/g1^24 - (4*t^8.31)/g1^14 + (5*t^8.37)/g1^4 - g1^6*t^8.44 - g1^16*t^8.51 + 3*g1^26*t^8.58 + 2*g1^36*t^8.64 + g1^46*t^8.71 + g1^56*t^8.78 - t^4.19/(g1^2*y) - (2*t^6.49)/(g1^16*y) - (g1^14*t^6.69)/y + t^7.61/(g1^28*y) + t^7.68/(g1^18*y) + (2*t^7.75)/(g1^8*y) + (2*g1^2*t^7.81)/y + (2*g1^12*t^7.88)/y + (g1^22*t^7.95)/y - (3*t^8.8)/(g1^30*y) + (4*t^8.86)/(g1^20*y) + (4*t^8.93)/(g1^10*y) - (t^4.19*y)/g1^2 - (2*t^6.49*y)/g1^16 - g1^14*t^6.69*y + (t^7.61*y)/g1^28 + (t^7.68*y)/g1^18 + (2*t^7.75*y)/g1^8 + 2*g1^2*t^7.81*y + 2*g1^12*t^7.88*y + g1^22*t^7.95*y - (3*t^8.8*y)/g1^30 + (4*t^8.86*y)/g1^20 + (4*t^8.93*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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 - t^4.19/y - t^4.19*y | detail |