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 |
|---|---|---|---|---|---|---|---|---|---|
| 1982 | 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$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6q_1q_2$ | 0.6481 | 0.8005 | 0.8096 | [X:[], M:[1.122, 0.7318, 0.878, 0.878, 1.2195, 0.6831], q:[0.8049, 0.5121], qb:[0.3659, 0.7562], phi:[0.3903]] | [X:[], M:[[16], [14], [-16], [-16], [-4], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_4$, $ M_1$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_2^2$, $ M_2M_6$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_6$, $ M_1M_2$, $ M_6q_1\tilde{q}_1$, $ M_5M_6$, $ M_2q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_6\phi_1q_2\tilde{q}_1$ | . | -1 | t^2.05 + t^2.2 + 2*t^2.63 + t^3.37 + t^3.51 + t^3.66 + t^3.8 + t^4.1 + 2*t^4.24 + t^4.39 + t^4.54 + 3*t^4.68 + t^4.83 + t^4.98 + 2*t^5.27 + t^5.42 + t^5.56 + 3*t^5.71 + t^5.85 - t^6. + 2*t^6.15 + 3*t^6.29 + 2*t^6.44 + 2*t^6.59 + 3*t^6.73 + 4*t^6.88 + 2*t^7.02 + t^7.17 + 3*t^7.32 + 2*t^7.46 + 2*t^7.61 + 3*t^7.76 + 5*t^7.9 + t^8.05 + 4*t^8.34 + 2*t^8.49 - 4*t^8.63 + 2*t^8.64 + 5*t^8.78 + 4*t^8.93 - t^4.17/y - t^6.22/y - t^6.37/y - t^6.8/y + t^7.24/y + t^7.54/y + (2*t^7.68)/y + (2*t^7.83)/y + t^7.98/y + t^8.12/y + t^8.56/y + (2*t^8.71)/y + t^8.85/y - t^4.17*y - t^6.22*y - t^6.37*y - t^6.8*y + t^7.24*y + t^7.54*y + 2*t^7.68*y + 2*t^7.83*y + t^7.98*y + t^8.12*y + t^8.56*y + 2*t^8.71*y + t^8.85*y | g1^24*t^2.05 + g1^14*t^2.2 + (2*t^2.63)/g1^16 + g1^16*t^3.37 + g1^6*t^3.51 + t^3.66/g1^4 + t^3.8/g1^14 + g1^48*t^4.1 + t^4.24/g1^44 + g1^38*t^4.24 + g1^28*t^4.39 + g1^18*t^4.54 + 3*g1^8*t^4.68 + t^4.83/g1^2 + t^4.98/g1^12 + (2*t^5.27)/g1^32 + g1^40*t^5.42 + g1^30*t^5.56 + 3*g1^20*t^5.71 + g1^10*t^5.85 - t^6. + t^6.15/g1^10 + g1^72*t^6.15 + (2*t^6.29)/g1^20 + g1^62*t^6.29 + t^6.44/g1^30 + g1^52*t^6.44 + 2*g1^42*t^6.59 + 3*g1^32*t^6.73 + (2*t^6.88)/g1^60 + 2*g1^22*t^6.88 + 2*g1^12*t^7.02 + g1^2*t^7.17 + (3*t^7.32)/g1^8 + t^7.46/g1^18 + g1^64*t^7.46 + t^7.61/g1^28 + g1^54*t^7.61 + 3*g1^44*t^7.76 + (2*t^7.9)/g1^48 + 3*g1^34*t^7.9 + t^8.05/g1^58 - g1^14*t^8.2 + g1^96*t^8.2 + 3*g1^4*t^8.34 + g1^86*t^8.34 + t^8.49/g1^88 + g1^76*t^8.49 - (4*t^8.63)/g1^16 + 2*g1^66*t^8.64 + t^8.78/g1^26 + 4*g1^56*t^8.78 + (2*t^8.93)/g1^36 + 2*g1^46*t^8.93 - (g1^2*t^4.17)/y - (g1^26*t^6.22)/y - (g1^16*t^6.37)/y - t^6.8/(g1^14*y) + (g1^38*t^7.24)/y + (g1^18*t^7.54)/y + (2*g1^8*t^7.68)/y + (2*t^7.83)/(g1^2*y) + t^7.98/(g1^12*y) + t^8.12/(g1^22*y) + t^8.27/(g1^32*y) - (g1^50*t^8.27)/y + (g1^30*t^8.56)/y + (2*g1^20*t^8.71)/y + (g1^10*t^8.85)/y - g1^2*t^4.17*y - g1^26*t^6.22*y - g1^16*t^6.37*y - (t^6.8*y)/g1^14 + g1^38*t^7.24*y + g1^18*t^7.54*y + 2*g1^8*t^7.68*y + (2*t^7.83*y)/g1^2 + (t^7.98*y)/g1^12 + (t^8.12*y)/g1^22 + (t^8.27*y)/g1^32 - g1^50*t^8.27*y + g1^30*t^8.56*y + 2*g1^20*t^8.71*y + g1^10*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 3034 | $\phi_1q_1^2$ + $ 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$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6q_1q_2$ + $ M_1M_7$ | 0.6596 | 0.8201 | 0.8043 | [X:[], M:[1.1354, 0.7434, 0.8646, 0.8646, 1.2162, 0.703, 0.8646], q:[0.804, 0.4929], qb:[0.3717, 0.7636], phi:[0.3919]] | t^2.11 + t^2.23 + 3*t^2.59 + t^3.53 + t^3.65 + t^3.77 + t^4.13 + t^4.22 + t^4.34 + t^4.46 + t^4.58 + 4*t^4.7 + 2*t^4.82 + t^4.95 + 5*t^5.19 + 3*t^5.76 + t^5.88 - 3*t^6. - t^4.18/y - t^4.18*y | detail | |
| 3035 | $\phi_1q_1^2$ + $ 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$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_1$ | 0.6628 | 0.8259 | 0.8025 | [X:[], M:[1.1264, 0.7356, 0.8736, 0.8736, 1.2184, 0.6897, 0.8276], q:[0.8046, 0.5057], qb:[0.3678, 0.7586], phi:[0.3908]] | t^2.07 + t^2.21 + t^2.48 + 2*t^2.62 + t^3.38 + t^3.66 + t^3.79 + t^4.14 + t^4.21 + t^4.28 + t^4.41 + 2*t^4.55 + 4*t^4.69 + t^4.83 + 2*t^4.97 + 2*t^5.1 + 2*t^5.24 + t^5.45 + 2*t^5.72 + 2*t^5.86 - t^6. - t^4.17/y - t^4.17*y | detail | {a: 26755/40368, c: 16669/20184, M1: 98/87, M2: 64/87, M3: 76/87, M4: 76/87, M5: 106/87, M6: 20/29, M7: 24/29, q1: 70/87, q2: 44/87, qb1: 32/87, qb2: 22/29, phi1: 34/87} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 725 | 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$ + $ M_1M_4$ + $ M_5\phi_1^2$ | 0.6274 | 0.7602 | 0.8253 | [X:[], M:[1.1249, 0.7343, 0.8751, 0.8751, 1.2188], q:[0.8047, 0.5079], qb:[0.3672, 0.7578], phi:[0.3906]] | t^2.2 + 2*t^2.63 + t^3.37 + t^3.52 + t^3.66 + t^3.8 + t^3.94 + t^4.22 + t^4.41 + t^4.55 + t^4.69 + t^4.83 + t^4.97 + 2*t^5.25 + 2*t^5.72 - t^6. - t^4.17/y - t^4.17*y | detail |