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 |
|---|---|---|---|---|---|---|---|---|---|
| 2107 | 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_1M_6$ + $ \phi_1\tilde{q}_1^2$ | 0.6707 | 0.8503 | 0.7887 | [X:[], M:[1.1963, 0.7324, 0.8037, 1.1251, 0.8749, 0.8037], q:[0.4374, 0.3662], qb:[0.7589, 0.5087], phi:[0.4822]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [-10]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_6$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_2\phi_1q_2^2$ | . | -2 | t^2.2 + 2*t^2.41 + t^2.62 + t^2.84 + t^2.89 + t^3.38 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.28 + t^4.39 + t^4.5 + 2*t^4.61 + 4*t^4.82 + 3*t^5.04 + t^5.09 + 3*t^5.25 + 2*t^5.3 + t^5.46 + t^5.52 + t^5.68 + t^5.73 + t^5.79 + t^5.84 - 2*t^6. + 3*t^6.05 - 2*t^6.21 + 5*t^6.27 - t^6.43 + 5*t^6.48 + t^6.54 + t^6.59 + 4*t^6.7 + 2*t^6.81 + 4*t^6.91 + 4*t^7.02 + 2*t^7.12 - 2*t^7.18 + 5*t^7.23 + 2*t^7.29 + t^7.34 + 4*t^7.45 + 3*t^7.5 - t^7.61 + 3*t^7.66 + 6*t^7.72 + 2*t^7.87 + 4*t^7.93 - t^7.98 + t^8.04 + 2*t^8.09 + 5*t^8.14 - 2*t^8.2 + 3*t^8.25 + t^8.3 + 2*t^8.36 - 8*t^8.41 + 7*t^8.47 + t^8.51 + 3*t^8.57 - 8*t^8.62 + 9*t^8.68 + t^8.73 + t^8.78 + t^8.79 - 7*t^8.84 + 8*t^8.89 + 2*t^8.95 - t^4.45/y - t^6.64/y - t^6.86/y - t^7.34/y + t^7.55/y + (2*t^7.61)/y + (2*t^7.82)/y + (4*t^8.04)/y + t^8.09/y + (3*t^8.25)/y + (2*t^8.3)/y + t^8.46/y + t^8.52/y + t^8.57/y + t^8.73/y + (2*t^8.79)/y - t^4.45*y - t^6.64*y - t^6.86*y - t^7.34*y + t^7.55*y + 2*t^7.61*y + 2*t^7.82*y + 4*t^8.04*y + t^8.09*y + 3*t^8.25*y + 2*t^8.3*y + t^8.46*y + t^8.52*y + t^8.57*y + t^8.73*y + 2*t^8.79*y | t^2.2/g1^34 + (2*t^2.41)/g1^10 + g1^14*t^2.62 + g1^38*t^2.84 + t^2.89/g1^12 + t^3.38/g1^14 + t^3.64/g1^40 + t^3.86/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.28 + t^4.39/g1^68 + g1^56*t^4.5 + (2*t^4.61)/g1^44 + (4*t^4.82)/g1^20 + 3*g1^4*t^5.04 + t^5.09/g1^46 + 3*g1^28*t^5.25 + (2*t^5.3)/g1^22 + g1^52*t^5.46 + g1^2*t^5.52 + g1^76*t^5.68 + g1^26*t^5.73 + t^5.79/g1^24 + t^5.84/g1^74 - 2*t^6. + (3*t^6.05)/g1^50 - 2*g1^24*t^6.21 + (5*t^6.27)/g1^26 - g1^48*t^6.43 + (5*t^6.48)/g1^2 + t^6.54/g1^52 + t^6.59/g1^102 + 4*g1^22*t^6.7 + (2*t^6.81)/g1^78 + 4*g1^46*t^6.91 + (4*t^7.02)/g1^54 + 2*g1^70*t^7.12 - 2*g1^20*t^7.18 + (5*t^7.23)/g1^30 + (2*t^7.29)/g1^80 + g1^94*t^7.34 + (4*t^7.45)/g1^6 + (3*t^7.5)/g1^56 - g1^68*t^7.61 + 3*g1^18*t^7.66 + (6*t^7.72)/g1^32 + 2*g1^42*t^7.87 + (4*t^7.93)/g1^8 - t^7.98/g1^58 + t^8.04/g1^108 + 2*g1^66*t^8.09 + 5*g1^16*t^8.14 - (2*t^8.2)/g1^34 + (3*t^8.25)/g1^84 + g1^90*t^8.3 + 2*g1^40*t^8.36 - (8*t^8.41)/g1^10 + (7*t^8.47)/g1^60 + g1^114*t^8.51 + 3*g1^64*t^8.57 - 8*g1^14*t^8.62 + (9*t^8.68)/g1^36 + t^8.73/g1^86 + g1^88*t^8.78 + t^8.79/g1^136 - 7*g1^38*t^8.84 + (8*t^8.89)/g1^12 + (2*t^8.95)/g1^62 - t^4.45/(g1^6*y) - t^6.64/(g1^40*y) - t^6.86/(g1^16*y) - t^7.34/(g1^18*y) + (g1^6*t^7.55)/y + (2*t^7.61)/(g1^44*y) + (2*t^7.82)/(g1^20*y) + (4*g1^4*t^8.04)/y + t^8.09/(g1^46*y) + (3*g1^28*t^8.25)/y + (2*t^8.3)/(g1^22*y) + (g1^52*t^8.46)/y + (g1^2*t^8.52)/y + t^8.57/(g1^48*y) + (g1^26*t^8.73)/y + (2*t^8.79)/(g1^24*y) - (t^4.45*y)/g1^6 - (t^6.64*y)/g1^40 - (t^6.86*y)/g1^16 - (t^7.34*y)/g1^18 + g1^6*t^7.55*y + (2*t^7.61*y)/g1^44 + (2*t^7.82*y)/g1^20 + 4*g1^4*t^8.04*y + (t^8.09*y)/g1^46 + 3*g1^28*t^8.25*y + (2*t^8.3*y)/g1^22 + g1^52*t^8.46*y + g1^2*t^8.52*y + (t^8.57*y)/g1^48 + g1^26*t^8.73*y + (2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 3204 | $M_1q_1q_2$ + $ 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_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.6699 | 0.849 | 0.7891 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8108], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + 2*t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + 2*t^4.7 + 4*t^4.86 + 3*t^5.03 + 4*t^5.19 + 3*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 271461/405224, c: 172009/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 30/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 3206 | $M_1q_1q_2$ + $ 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_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1q_2$ | 0.6909 | 0.8885 | 0.7776 | [X:[], M:[1.1951, 0.7368, 0.8049, 1.1269, 0.8731, 0.8049, 0.7121], q:[0.4365, 0.3684], qb:[0.7585, 0.5047], phi:[0.483]] | t^2.14 + t^2.21 + 2*t^2.41 + t^2.62 + t^2.82 + t^2.9 + t^3.38 + t^3.66 + 2*t^4.07 + 2*t^4.27 + t^4.35 + t^4.42 + t^4.48 + 2*t^4.55 + 2*t^4.63 + t^4.76 + 4*t^4.83 + t^4.96 + 4*t^5.03 + t^5.11 + 3*t^5.24 + 2*t^5.31 + t^5.44 + 2*t^5.52 + t^5.65 + t^5.72 + 2*t^5.8 + t^5.87 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 3205 | $M_1q_1q_2$ + $ 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_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ q_1^2\tilde{q}_2^2$ | 0.6677 | 0.8486 | 0.7868 | [X:[], M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7895], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.05 + 2*t^2.37 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.47 + t^3.79 + 3*t^4.11 + 3*t^4.42 + 5*t^4.74 + t^4.89 + 3*t^5.05 + 2*t^5.21 + 3*t^5.37 + 2*t^5.53 + 2*t^5.68 + 4*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 73275/109744, c: 46565/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 15/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 994 | 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_1M_6$ | 0.708 | 0.8721 | 0.8119 | [X:[], M:[1.0721, 0.8491, 0.9279, 0.9932, 1.0068, 0.9279], q:[0.5034, 0.4245], qb:[0.5687, 0.5822], phi:[0.4803]] | t^2.55 + 2*t^2.78 + t^2.88 + t^2.98 + t^3.02 + t^3.26 + t^3.99 + t^4.22 + t^4.42 + 2*t^4.46 + t^4.66 + t^4.7 + t^4.85 + t^4.89 + t^4.93 + t^5.09 + 2*t^5.33 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.76 + 2*t^5.8 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |