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 |
|---|---|---|---|---|---|---|---|---|---|
| 2375 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6376 | 0.7908 | 0.8063 | [X:[], M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [14]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_7$, $ M_2$, $ M_3$, $ M_6$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_2$, $ M_2M_7$ | . | -2 | t^2.42 + 2*t^2.62 + t^3.1 + t^3.19 + t^3.58 + t^3.67 + t^3.78 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.46 + t^4.84 + 2*t^5.03 + 3*t^5.23 + t^5.52 + 2*t^5.71 - 2*t^6. + t^6.09 + t^6.2 + 3*t^6.29 + t^6.37 + t^6.4 + 2*t^6.48 + 4*t^6.68 + t^6.86 + 3*t^6.88 + 2*t^7.08 + t^7.25 + t^7.34 + t^7.36 + t^7.45 + t^7.54 + t^7.56 + 3*t^7.65 + 2*t^7.74 + 4*t^7.85 + 2*t^7.93 + t^8.04 + 4*t^8.13 - 2*t^8.22 + t^8.24 + 4*t^8.33 - 3*t^8.42 + t^8.51 + 2*t^8.53 - 5*t^8.62 + 2*t^8.7 + t^8.72 + 3*t^8.9 + t^8.92 + t^8.99 - t^4.45/y - t^7.07/y + t^7.26/y - t^7.64/y + t^7.84/y + (2*t^8.03)/y + t^8.23/y + t^8.52/y + t^8.6/y + (2*t^8.71)/y + (2*t^8.8)/y - t^4.45*y - t^7.07*y + t^7.26*y - t^7.64*y + t^7.84*y + 2*t^8.03*y + t^8.23*y + t^8.52*y + t^8.6*y + 2*t^8.71*y + 2*t^8.8*y | t^2.42/g1^10 + 2*g1^14*t^2.62 + g1^12*t^3.1 + t^3.19/g1^38 + g1^10*t^3.58 + t^3.67/g1^40 + g1^34*t^3.78 + t^3.87/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.26 + g1^56*t^4.46 + t^4.84/g1^20 + 2*g1^4*t^5.03 + 3*g1^28*t^5.23 + g1^2*t^5.52 + 2*g1^26*t^5.71 - 2*t^6. + t^6.09/g1^50 + g1^24*t^6.2 + (3*t^6.29)/g1^26 + t^6.37/g1^76 + g1^48*t^6.4 + (2*t^6.48)/g1^2 + 4*g1^22*t^6.68 + t^6.86/g1^78 + 3*g1^46*t^6.88 + 2*g1^70*t^7.08 + t^7.25/g1^30 + t^7.34/g1^80 + g1^44*t^7.36 + t^7.45/g1^6 + t^7.54/g1^56 + g1^68*t^7.56 + 3*g1^18*t^7.65 + (2*t^7.74)/g1^32 + 4*g1^42*t^7.85 + (2*t^7.93)/g1^8 + g1^66*t^8.04 + 4*g1^16*t^8.13 - (2*t^8.22)/g1^34 + g1^90*t^8.24 + 4*g1^40*t^8.33 - (3*t^8.42)/g1^10 + t^8.51/g1^60 + 2*g1^64*t^8.53 - 5*g1^14*t^8.62 + (2*t^8.7)/g1^36 + g1^88*t^8.72 + (3*t^8.9)/g1^12 + g1^112*t^8.92 + t^8.99/g1^62 - t^4.45/(g1^6*y) - (g1^8*t^7.07)/y + (g1^32*t^7.26)/y - t^7.64/(g1^44*y) + t^7.84/(g1^20*y) + (2*g1^4*t^8.03)/y + (g1^28*t^8.23)/y + (g1^2*t^8.52)/y + t^8.6/(g1^48*y) + (2*g1^26*t^8.71)/y + (2*t^8.8)/(g1^24*y) - (t^4.45*y)/g1^6 - g1^8*t^7.07*y + g1^32*t^7.26*y - (t^7.64*y)/g1^44 + (t^7.84*y)/g1^20 + 2*g1^4*t^8.03*y + g1^28*t^8.23*y + g1^2*t^8.52*y + (t^8.6*y)/g1^48 + 2*g1^26*t^8.71*y + (2*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 4380 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_6M_8$ | 0.6538 | 0.819 | 0.7983 | [X:[], M:[0.8755, 1.0361, 1.0523, 0.8032, 1.1245, 1.1968, 0.8755, 0.8032], q:[0.759, 0.3655], qb:[0.4377, 0.5099], phi:[0.4819]] | 2*t^2.41 + 2*t^2.63 + t^3.11 + t^3.16 + t^3.64 + t^3.81 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.51 + 3*t^4.82 + 4*t^5.04 + 3*t^5.25 + 2*t^5.52 + t^5.57 + 2*t^5.73 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4384 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6579 | 0.8295 | 0.7932 | [X:[], M:[0.8696, 1.0311, 1.0682, 0.8074, 1.1304, 1.1926, 0.8696, 0.7081], q:[0.7578, 0.3726], qb:[0.4348, 0.497], phi:[0.4844]] | t^2.12 + t^2.42 + 2*t^2.61 + t^3.09 + t^3.2 + t^3.58 + t^3.69 + t^3.76 + 2*t^4.06 + 2*t^4.25 + t^4.44 + t^4.55 + 2*t^4.73 + t^4.84 + 2*t^5.03 + 4*t^5.22 + t^5.33 + t^5.52 + 3*t^5.7 + t^5.81 + t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4381 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ | 0.6561 | 0.8258 | 0.7945 | [X:[], M:[0.862, 1.0245, 1.089, 0.8129, 1.138, 1.1871, 0.862, 0.7484], q:[0.7561, 0.3819], qb:[0.431, 0.48], phi:[0.4877]] | t^2.25 + t^2.44 + 2*t^2.59 + t^3.07 + t^3.27 + t^3.56 + t^3.71 + t^3.9 + 2*t^4.05 + t^4.2 + t^4.34 + t^4.49 + t^4.68 + 2*t^4.83 + t^4.88 + 2*t^5.02 + 3*t^5.17 + t^5.32 + 2*t^5.51 + 2*t^5.66 + t^5.81 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4382 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8q_1\tilde{q}_2$ | 0.6573 | 0.8271 | 0.7947 | [X:[], M:[0.8779, 1.0382, 1.0456, 0.8015, 1.1221, 1.1985, 0.8779, 0.725], q:[0.7596, 0.3625], qb:[0.439, 0.5154], phi:[0.4809]] | t^2.18 + t^2.4 + 2*t^2.63 + t^3.11 + t^3.14 + t^3.6 + t^3.62 + t^3.85 + 2*t^4.08 + t^4.31 + t^4.35 + t^4.54 + t^4.58 + 3*t^4.81 + 2*t^5.04 + 3*t^5.27 + t^5.29 + t^5.31 + t^5.52 + 2*t^5.75 + t^5.77 + t^5.79 - 2*t^6. - t^4.44/y - t^4.44*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1332 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[1.0244, 1.0244, 0.9267, 0.9756, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5122, 0.5611], phi:[0.4878]] | t^2.78 + t^2.93 + 4*t^3.07 + t^3.22 + t^4.24 + 2*t^4.39 + 4*t^4.54 + 2*t^4.68 + t^4.83 + t^5.56 + t^5.85 - t^6. - t^4.46/y - t^4.46*y | detail |