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 |
|---|---|---|---|---|---|---|---|---|---|
| 4884 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1q_2$ | 0.6798 | 0.8697 | 0.7816 | [X:[], M:[1.1987, 0.7243, 0.8013, 1.1218, 0.8782, 1.1218, 0.8013, 0.718], q:[0.4391, 0.3621], qb:[0.7596, 0.5161], phi:[0.4808]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [-14], [-10], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_2$, $ M_3$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_8$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ M_7M_8$, $ M_2M_3$, $ M_2M_7$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_8q_1\tilde{q}_2$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_4M_8$, $ M_6M_8$, $ M_2M_4$, $ M_2M_6$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ M_4M_7$, $ M_6M_7$, $ \phi_1^4$, $ M_8\phi_1q_2^2$, $ M_2\phi_1q_2^2$ | . | -3 | t^2.15 + t^2.17 + 2*t^2.4 + t^2.87 + t^2.88 + 2*t^3.37 + t^3.62 + 2*t^4.08 + 2*t^4.31 + t^4.33 + t^4.35 + t^4.54 + 2*t^4.56 + 2*t^4.58 + 3*t^4.81 + t^5.02 + 2*t^5.04 + t^5.06 + 2*t^5.27 + 2*t^5.29 + 2*t^5.52 + t^5.54 + t^5.73 + t^5.75 + 4*t^5.77 + t^5.79 - 3*t^6. + 2*t^6.02 + t^6.23 + 3*t^6.25 + t^6.46 + 5*t^6.48 + 2*t^6.5 + t^6.52 + t^6.69 + 3*t^6.71 + 3*t^6.73 + 2*t^6.75 + 3*t^6.94 + 3*t^6.96 + 4*t^6.98 + 2*t^7.17 + 3*t^7.21 + 2*t^7.23 + t^7.4 + 2*t^7.42 + 4*t^7.44 + 2*t^7.46 - t^7.65 + 3*t^7.67 + 5*t^7.69 + t^7.71 + t^7.89 + t^7.9 + 4*t^7.92 + 2*t^7.94 + t^7.96 + t^8.14 + 3*t^8.17 + 2*t^8.19 + t^8.38 - 5*t^8.4 + 5*t^8.42 + t^8.6 + 4*t^8.62 + t^8.63 + 7*t^8.65 + 2*t^8.67 + t^8.69 + 2*t^8.85 - 2*t^8.87 + 5*t^8.88 + 4*t^8.9 + 2*t^8.92 - t^4.44/y - t^6.6/y - t^6.62/y - t^6.85/y + t^7.08/y + (3*t^7.56)/y + (2*t^7.58)/y + t^8.02/y + (3*t^8.04)/y + t^8.06/y + (3*t^8.27)/y + (3*t^8.29)/y + (2*t^8.52)/y + (2*t^8.54)/y + (4*t^8.77)/y - t^4.44*y - t^6.6*y - t^6.62*y - t^6.85*y + t^7.08*y + 3*t^7.56*y + 2*t^7.58*y + t^8.02*y + 3*t^8.04*y + t^8.06*y + 3*t^8.27*y + 3*t^8.29*y + 2*t^8.52*y + 2*t^8.54*y + 4*t^8.77*y | g1^16*t^2.15 + t^2.17/g1^34 + (2*t^2.4)/g1^10 + g1^38*t^2.87 + t^2.88/g1^12 + (2*t^3.37)/g1^14 + t^3.62/g1^40 + 2*g1^8*t^4.08 + 2*g1^32*t^4.31 + t^4.33/g1^18 + t^4.35/g1^68 + g1^56*t^4.54 + 2*g1^6*t^4.56 + (2*t^4.58)/g1^44 + (3*t^4.81)/g1^20 + g1^54*t^5.02 + 2*g1^4*t^5.04 + t^5.06/g1^46 + 2*g1^28*t^5.27 + (2*t^5.29)/g1^22 + 2*g1^2*t^5.52 + t^5.54/g1^48 + g1^76*t^5.73 + g1^26*t^5.75 + (4*t^5.77)/g1^24 + t^5.79/g1^74 - 3*t^6. + (2*t^6.02)/g1^50 + g1^24*t^6.23 + (3*t^6.25)/g1^26 + g1^48*t^6.46 + (5*t^6.48)/g1^2 + (2*t^6.5)/g1^52 + t^6.52/g1^102 + g1^72*t^6.69 + 3*g1^22*t^6.71 + (3*t^6.73)/g1^28 + (2*t^6.75)/g1^78 + 3*g1^46*t^6.94 + (3*t^6.96)/g1^4 + (4*t^6.98)/g1^54 + 2*g1^70*t^7.17 + (3*t^7.21)/g1^30 + (2*t^7.23)/g1^80 + g1^94*t^7.4 + 2*g1^44*t^7.42 + (4*t^7.44)/g1^6 + (2*t^7.46)/g1^56 - g1^68*t^7.65 + 3*g1^18*t^7.67 + (5*t^7.69)/g1^32 + t^7.71/g1^82 + g1^92*t^7.89 + g1^42*t^7.9 + (4*t^7.92)/g1^8 + (2*t^7.94)/g1^58 + t^7.96/g1^108 + g1^66*t^8.14 + (3*t^8.17)/g1^34 + (2*t^8.19)/g1^84 + g1^40*t^8.38 - (5*t^8.4)/g1^10 + (5*t^8.42)/g1^60 + g1^114*t^8.6 + 4*g1^64*t^8.62 + g1^14*t^8.63 + (7*t^8.65)/g1^36 + (2*t^8.67)/g1^86 + t^8.69/g1^136 + 2*g1^88*t^8.85 - 2*g1^38*t^8.87 + (5*t^8.88)/g1^12 + (4*t^8.9)/g1^62 + (2*t^8.92)/g1^112 - t^4.44/(g1^6*y) - (g1^10*t^6.6)/y - t^6.62/(g1^40*y) - t^6.85/(g1^16*y) + (g1^8*t^7.08)/y + (3*g1^6*t^7.56)/y + (2*t^7.58)/(g1^44*y) + (g1^54*t^8.02)/y + (3*g1^4*t^8.04)/y + t^8.06/(g1^46*y) + (3*g1^28*t^8.27)/y + (3*t^8.29)/(g1^22*y) + (2*g1^2*t^8.52)/y + (2*t^8.54)/(g1^48*y) + (4*t^8.77)/(g1^24*y) - (t^4.44*y)/g1^6 - g1^10*t^6.6*y - (t^6.62*y)/g1^40 - (t^6.85*y)/g1^16 + g1^8*t^7.08*y + 3*g1^6*t^7.56*y + (2*t^7.58*y)/g1^44 + g1^54*t^8.02*y + 3*g1^4*t^8.04*y + (t^8.06*y)/g1^46 + 3*g1^28*t^8.27*y + (3*t^8.29*y)/g1^22 + 2*g1^2*t^8.52*y + (2*t^8.54*y)/g1^48 + (4*t^8.77*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6491 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ | 0.6784 | 0.8676 | 0.7819 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.1351, 0.8108, 0.7027], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.11 + t^2.27 + 2*t^2.43 + t^2.76 + t^2.92 + 2*t^3.41 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 3*t^4.54 + 2*t^4.7 + 4*t^4.86 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 3*t^5.51 + 2*t^5.68 + 4*t^5.84 - 2*t^6. - t^4.46/y - t^4.46*y | detail | {a: 68727/101306, c: 87893/101306, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 42/37, M7: 30/37, M8: 26/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 6488 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1q_2$ + $ q_1^2\tilde{q}_2^2$ | 0.6777 | 0.8685 | 0.7803 | [X:[], M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 1.1053, 0.7895, 0.7368], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.05 + t^2.21 + 2*t^2.37 + t^2.84 + t^3. + 2*t^3.32 + t^3.47 + 3*t^4.11 + t^4.26 + 4*t^4.42 + 2*t^4.58 + 4*t^4.74 + t^4.89 + 2*t^5.05 + 3*t^5.21 + 3*t^5.37 + 3*t^5.53 + 4*t^5.68 + 3*t^5.84 - 2*t^6. - t^4.42/y - t^4.42*y | detail | {a: 74373/109744, c: 95311/109744, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 21/19, M7: 15/19, M8: 14/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2699 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ | 0.6597 | 0.8322 | 0.7927 | [X:[], M:[1.2002, 0.7193, 0.7998, 1.1197, 0.8803, 1.1197, 0.7998], q:[0.4401, 0.3597], qb:[0.7601, 0.5206], phi:[0.4799]] | t^2.16 + 2*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 3*t^4.8 + 2*t^5.04 + 4*t^5.28 + t^5.52 + 6*t^5.76 - t^4.44/y - t^4.44*y | detail |