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 |
|---|---|---|---|---|---|---|---|---|---|
| 5095 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6294 | 0.818 | 0.7694 | [X:[], M:[1.0178, 0.6864, 0.9822, 0.7219, 1.2781, 0.7219, 0.8876, 0.8166], q:[0.6391, 0.3432], qb:[0.3787, 0.9349], phi:[0.426]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [6], [24], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ M_8$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_8$, $ M_4M_8$, $ M_6M_8$, $ M_2\phi_1^2$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_6M_7$, $ M_8^2$, $ M_2M_3$, $ M_8\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_7M_8$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_3M_8$, $ M_1M_8$, $ M_3\phi_1^2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ M_3^2$, $ M_8\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.06 + 2*t^2.17 + t^2.45 + t^2.56 + t^2.66 + t^2.95 + t^3.05 + t^3.44 + t^4.12 + 2*t^4.22 + 3*t^4.33 + t^4.51 + 3*t^4.62 + 4*t^4.72 + 2*t^4.83 + t^4.9 + 2*t^5.01 + 5*t^5.11 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.5 + 3*t^5.61 + t^5.72 + t^5.89 - t^6. + t^6.11 + t^6.18 + 2*t^6.28 + 2*t^6.39 + 3*t^6.5 + t^6.57 + 3*t^6.67 + 5*t^6.78 + 4*t^6.89 + t^6.96 + 2*t^6.99 + 4*t^7.07 + 7*t^7.17 + 8*t^7.28 + t^7.35 + 5*t^7.38 + 2*t^7.46 + 2*t^7.49 + 6*t^7.56 + 6*t^7.67 + 7*t^7.78 + t^7.85 + 3*t^7.88 + 2*t^7.95 + t^7.99 + t^8.06 - t^8.17 + t^8.24 + 2*t^8.27 + 3*t^8.34 + t^8.38 - t^8.56 + t^8.63 + 3*t^8.73 + t^8.77 + 4*t^8.84 - t^4.28/y - t^6.34/y - t^6.44/y - t^6.73/y - t^6.83/y - t^6.94/y + (2*t^7.22)/y + t^7.33/y + t^7.51/y + (4*t^7.62)/y + (4*t^7.72)/y + (3*t^7.83)/y + (2*t^8.01)/y + (5*t^8.11)/y + (4*t^8.22)/y + (2*t^8.5)/y + (3*t^8.61)/y + t^8.72/y - t^8.79/y - t^8.89/y - t^4.28*y - t^6.34*y - t^6.44*y - t^6.73*y - t^6.83*y - t^6.94*y + 2*t^7.22*y + t^7.33*y + t^7.51*y + 4*t^7.62*y + 4*t^7.72*y + 3*t^7.83*y + 2*t^8.01*y + 5*t^8.11*y + 4*t^8.22*y + 2*t^8.5*y + 3*t^8.61*y + t^8.72*y - t^8.79*y - t^8.89*y | t^2.06/g1^22 + 2*g1^6*t^2.17 + t^2.45/g1^32 + t^2.56/g1^4 + g1^24*t^2.66 + t^2.95/g1^14 + g1^14*t^3.05 + g1^4*t^3.44 + t^4.12/g1^44 + (2*t^4.22)/g1^16 + 3*g1^12*t^4.33 + t^4.51/g1^54 + (3*t^4.62)/g1^26 + 4*g1^2*t^4.72 + 2*g1^30*t^4.83 + t^4.9/g1^64 + (2*t^5.01)/g1^36 + (5*t^5.11)/g1^8 + 3*g1^20*t^5.22 + g1^48*t^5.33 + t^5.4/g1^46 + (2*t^5.5)/g1^18 + 3*g1^10*t^5.61 + g1^38*t^5.72 + t^5.89/g1^28 - t^6. + g1^28*t^6.11 + t^6.18/g1^66 + (2*t^6.28)/g1^38 + (2*t^6.39)/g1^10 + 3*g1^18*t^6.5 + t^6.57/g1^76 + (3*t^6.67)/g1^48 + (5*t^6.78)/g1^20 + 4*g1^8*t^6.89 + t^6.96/g1^86 + 2*g1^36*t^6.99 + (4*t^7.07)/g1^58 + (7*t^7.17)/g1^30 + (8*t^7.28)/g1^2 + t^7.35/g1^96 + 5*g1^26*t^7.38 + (2*t^7.46)/g1^68 + 2*g1^54*t^7.49 + (6*t^7.56)/g1^40 + (6*t^7.67)/g1^12 + 7*g1^16*t^7.78 + t^7.85/g1^78 + 3*g1^44*t^7.88 + (2*t^7.95)/g1^50 + g1^72*t^7.99 + t^8.06/g1^22 - g1^6*t^8.17 + t^8.24/g1^88 + 2*g1^34*t^8.27 + (3*t^8.34)/g1^60 + g1^62*t^8.38 - t^8.56/g1^4 + t^8.63/g1^98 + (3*t^8.73)/g1^70 + g1^52*t^8.77 + (4*t^8.84)/g1^42 - t^4.28/(g1^2*y) - t^6.34/(g1^24*y) - (g1^4*t^6.44)/y - t^6.73/(g1^34*y) - t^6.83/(g1^6*y) - (g1^22*t^6.94)/y + (2*t^7.22)/(g1^16*y) + (g1^12*t^7.33)/y + t^7.51/(g1^54*y) + (4*t^7.62)/(g1^26*y) + (4*g1^2*t^7.72)/y + (3*g1^30*t^7.83)/y + (2*t^8.01)/(g1^36*y) + (5*t^8.11)/(g1^8*y) + (4*g1^20*t^8.22)/y + (2*t^8.5)/(g1^18*y) + (3*g1^10*t^8.61)/y + (g1^38*t^8.72)/y - t^8.79/(g1^56*y) - t^8.89/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.34*y)/g1^24 - g1^4*t^6.44*y - (t^6.73*y)/g1^34 - (t^6.83*y)/g1^6 - g1^22*t^6.94*y + (2*t^7.22*y)/g1^16 + g1^12*t^7.33*y + (t^7.51*y)/g1^54 + (4*t^7.62*y)/g1^26 + 4*g1^2*t^7.72*y + 3*g1^30*t^7.83*y + (2*t^8.01*y)/g1^36 + (5*t^8.11*y)/g1^8 + 4*g1^20*t^8.22*y + (2*t^8.5*y)/g1^18 + 3*g1^10*t^8.61*y + g1^38*t^8.72*y - (t^8.79*y)/g1^56 - (t^8.89*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6698 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ | 0.6042 | 0.7878 | 0.767 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 0.75, 1.0], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | 2*t^2.06 + t^2.25 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + 3*t^4.12 + 2*t^4.31 + 3*t^4.5 + 4*t^4.69 + 4*t^4.88 + 4*t^5.06 + 5*t^5.25 + 4*t^5.44 + 3*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 79197/131072, c: 103261/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 3/4, M8: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3199 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6156 | 0.7946 | 0.7748 | [X:[], M:[0.9952, 0.7218, 1.0048, 0.7122, 1.2878, 0.7122, 0.8489], q:[0.6439, 0.3609], qb:[0.3513, 0.9269], phi:[0.4293]] | 2*t^2.14 + t^2.17 + t^2.55 + t^2.58 + t^2.99 + t^3.01 + t^3.4 + t^3.42 + 3*t^4.27 + 2*t^4.3 + t^4.33 + 2*t^4.68 + 4*t^4.71 + t^4.74 + t^5.09 + 3*t^5.12 + 4*t^5.15 + t^5.18 + 3*t^5.53 + 4*t^5.56 + t^5.59 + t^5.94 + 2*t^5.97 - t^6. - t^4.29/y - t^4.29*y | detail |