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 |
|---|---|---|---|---|---|---|---|---|---|
| 46634 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[1.1451, 0.7351, 0.8549, 0.7916, 0.6718], q:[0.3958, 0.4591], qb:[0.8691, 0.7492], phi:[0.3817]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_5\phi_1q_1^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_5\phi_1q_1q_2$, $ M_1M_4$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1^2$, $ M_5\phi_1q_2^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. + t^6.05 + t^6.08 + t^6.11 + t^6.24 + t^6.27 + t^6.32 + t^6.41 + t^6.43 + t^6.46 + t^6.51 + 3*t^6.6 + t^6.62 + t^6.68 + t^6.7 + t^6.77 + 3*t^6.79 + 4*t^6.87 + 3*t^6.96 + t^6.98 + 2*t^7.04 + t^7.06 + t^7.12 + 2*t^7.15 + t^7.23 + t^7.31 + t^7.47 + t^7.55 + t^7.66 + 2*t^7.74 + t^7.8 + t^7.83 + t^7.85 + t^7.91 + 2*t^7.93 + t^8.06 + 2*t^8.1 + t^8.12 + t^8.18 - 2*t^8.21 + t^8.25 + t^8.27 + t^8.31 + t^8.34 - 2*t^8.37 + t^8.42 + t^8.44 + t^8.46 + t^8.53 - 3*t^8.56 + 3*t^8.61 + t^8.63 + t^8.67 + t^8.7 + t^8.72 + t^8.78 + 3*t^8.8 + t^8.82 + 4*t^8.89 + t^8.91 + 3*t^8.97 + 3*t^8.99 - t^4.15/y - t^6.16/y - t^6.35/y - t^6.44/y - t^6.52/y + t^7.22/y + t^7.31/y + t^7.39/y + t^7.5/y + (2*t^7.58)/y + t^7.67/y + (2*t^7.77)/y + (2*t^7.85)/y + (2*t^7.94)/y + t^8.13/y - t^8.18/y - t^8.37/y - t^8.56/y + t^8.73/y + t^8.81/y + (2*t^8.92)/y - t^4.15*y - t^6.16*y - t^6.35*y - t^6.44*y - t^6.52*y + t^7.22*y + t^7.31*y + t^7.39*y + t^7.5*y + 2*t^7.58*y + t^7.67*y + 2*t^7.77*y + 2*t^7.85*y + 2*t^7.94*y + t^8.13*y - t^8.18*y - t^8.37*y - t^8.56*y + t^8.73*y + t^8.81*y + 2*t^8.92*y | t^2.02/(g1^7*g2^7) + g1^2*g2^4*t^2.21 + t^2.29/(g1^2*g2^2) + t^2.37/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + t^3.52/(g1^7*g2^9) + g1^2*g2^2*t^3.71 + g1^11*g2^13*t^3.9 + t^4.03/(g1^14*g2^14) + t^4.22/(g1^5*g2^3) + t^4.31/(g1^9*g2^9) + t^4.39/(g1^13*g2^15) + g1^4*g2^8*t^4.41 + g2^2*t^4.5 + (3*t^4.58)/(g1^4*g2^4) + t^4.67/(g1^8*g2^10) + t^4.75/(g1^12*g2^16) + g1^5*g2^7*t^4.77 + 2*g1*g2*t^4.85 + t^4.94/(g1^3*g2^5) + g1^6*g2^6*t^5.13 + t^5.45/(g1^10*g2^10) + t^5.54/(g1^14*g2^16) + (g2*t^5.64)/g1 + (2*t^5.73)/(g1^5*g2^5) + t^5.81/(g1^9*g2^11) + t^5.89/(g1^13*g2^17) + g1^4*g2^6*t^5.92 - t^6. + t^6.05/(g1^21*g2^21) + t^6.08/(g1^4*g2^6) + g1^13*g2^17*t^6.11 + t^6.24/(g1^12*g2^10) + g1^5*g2^5*t^6.27 + t^6.32/(g1^16*g2^16) + t^6.41/(g1^20*g2^22) + (g2*t^6.43)/g1^3 + g1^14*g2^16*t^6.46 + t^6.51/(g1^7*g2^5) + (3*t^6.6)/(g1^11*g2^11) + g1^6*g2^12*t^6.62 + t^6.68/(g1^15*g2^17) + g1^2*g2^6*t^6.7 + t^6.77/(g1^19*g2^23) + (3*t^6.79)/g1^2 + (4*t^6.87)/(g1^6*g2^6) + (3*t^6.96)/(g1^10*g2^12) + g1^7*g2^11*t^6.98 + (2*t^7.04)/(g1^14*g2^18) + g1^3*g2^5*t^7.06 + t^7.12/(g1^18*g2^24) + (2*t^7.15)/(g1*g2) + t^7.23/(g1^5*g2^7) + t^7.31/(g1^9*g2^13) + t^7.47/(g1^17*g2^17) + t^7.55/(g1^21*g2^23) + t^7.66/(g1^8*g2^6) + (2*t^7.74)/(g1^12*g2^12) + g1^22*g2^26*t^7.8 + t^7.83/(g1^16*g2^18) + g1*g2^5*t^7.85 + t^7.91/(g1^20*g2^24) + (2*t^7.93)/(g1^3*g2) + t^8.06/(g1^28*g2^28) + (2*t^8.1)/(g1^11*g2^13) + g1^6*g2^10*t^8.12 + t^8.18/(g1^15*g2^19) - 2*g1^2*g2^4*t^8.21 + t^8.25/(g1^19*g2^17) + t^8.27/(g1^19*g2^25) + g1^15*g2^21*t^8.31 + t^8.34/(g1^23*g2^23) - (2*t^8.37)/(g1^6*g2^8) + t^8.42/(g1^27*g2^29) + t^8.44/(g1^10*g2^6) + t^8.46/(g1^10*g2^14) + t^8.53/(g1^14*g2^12) - 3*g1^3*g2^3*t^8.56 + (3*t^8.61)/(g1^18*g2^18) + (g2^5*t^8.63)/g1 + g1^16*g2^20*t^8.67 + t^8.7/(g1^22*g2^24) + t^8.72/(g1^5*g2) + t^8.78/(g1^26*g2^30) + (3*t^8.8)/(g1^9*g2^7) + g1^8*g2^16*t^8.82 + (4*t^8.89)/(g1^13*g2^13) + g1^4*g2^10*t^8.91 + (3*t^8.97)/(g1^17*g2^19) + 3*g2^4*t^8.99 - t^4.15/(g1*g2*y) - t^6.16/(g1^8*g2^8*y) - (g1*g2^3*t^6.35)/y - t^6.44/(g1^3*g2^3*y) - t^6.52/(g1^7*g2^9*y) + t^7.22/(g1^5*g2^3*y) + t^7.31/(g1^9*g2^9*y) + t^7.39/(g1^13*g2^15*y) + (g2^2*t^7.5)/y + (2*t^7.58)/(g1^4*g2^4*y) + t^7.67/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.77)/y + (2*g1*g2*t^7.85)/y + (2*t^7.94)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.13)/y - t^8.18/(g1^15*g2^15*y) - t^8.37/(g1^6*g2^4*y) - (g1^3*g2^7*t^8.56)/y + t^8.73/(g1^5*g2^5*y) + t^8.81/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.92)/y - (t^4.15*y)/(g1*g2) - (t^6.16*y)/(g1^8*g2^8) - g1*g2^3*t^6.35*y - (t^6.44*y)/(g1^3*g2^3) - (t^6.52*y)/(g1^7*g2^9) + (t^7.22*y)/(g1^5*g2^3) + (t^7.31*y)/(g1^9*g2^9) + (t^7.39*y)/(g1^13*g2^15) + g2^2*t^7.5*y + (2*t^7.58*y)/(g1^4*g2^4) + (t^7.67*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.77*y + 2*g1*g2*t^7.85*y + (2*t^7.94*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.13*y - (t^8.18*y)/(g1^15*g2^15) - (t^8.37*y)/(g1^6*g2^4) - g1^3*g2^7*t^8.56*y + (t^8.73*y)/(g1^5*g2^5) + (t^8.81*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 47176 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ | 0.6706 | 0.8484 | 0.7904 | [X:[], M:[1.1549, 0.7464, 0.8451, 0.7935, 0.6948, 0.8451], q:[0.3967, 0.4484], qb:[0.8569, 0.7582], phi:[0.385]] | t^2.08 + t^2.24 + t^2.31 + t^2.38 + 2*t^2.54 + t^3.54 + t^3.69 + t^3.85 + t^4.17 + t^4.32 + t^4.39 + t^4.46 + t^4.48 + t^4.55 + 4*t^4.62 + t^4.69 + t^4.76 + 2*t^4.77 + 3*t^4.85 + 2*t^4.92 + 3*t^5.07 + t^5.62 + t^5.77 + t^5.92 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 47192 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ | 0.5838 | 0.7365 | 0.7926 | [X:[], M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | t^2.05 + t^2.17 + t^2.56 + t^2.94 + t^3.06 + t^3.33 + t^3.44 + t^3.56 + t^3.83 + t^4.11 + t^4.22 + t^4.33 + t^4.61 + 2*t^4.72 + t^5. + 3*t^5.11 + t^5.22 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 + 2*t^5.89 - t^4.28/y - t^4.28*y | detail | |
| 48121 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ | 0.6571 | 0.8263 | 0.7953 | [X:[], M:[1.1467, 0.7201, 0.8533, 0.8089, 0.6757], q:[0.4044, 0.4488], qb:[0.8754, 0.7423], phi:[0.3822]] | t^2.03 + t^2.16 + t^2.29 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + t^3.71 + t^3.84 + t^4.05 + t^4.19 + 2*t^4.32 + 2*t^4.45 + 3*t^4.59 + 2*t^4.72 + 3*t^4.85 + t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + 2*t^5.73 + 2*t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 47200 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6567 | 0.8256 | 0.7954 | [X:[], M:[1.1486, 0.7658, 0.8514, 0.7658, 0.6801], q:[0.3829, 0.4685], qb:[0.8514, 0.7658], phi:[0.3829]] | t^2.04 + 3*t^2.3 + t^2.55 + 2*t^3.45 + t^3.7 + t^3.96 + t^4.08 + 3*t^4.34 + 7*t^4.59 + 4*t^4.85 + t^5.11 + 2*t^5.49 + 5*t^5.74 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 48225 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5^2$ | 0.5904 | 0.7422 | 0.7955 | [X:[], M:[1.2857, 0.9107, 0.7143, 0.8036, 1.0], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | t^2.14 + t^2.41 + t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.43 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + 2*t^4.71 + t^4.82 + t^4.88 + t^4.98 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + t^5.73 + t^5.84 + t^5.89 - t^4.29/y - t^4.29*y | detail | {a: 51843/87808, c: 65171/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 45/56, M5: 1, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
| 48168 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6733 | 0.8548 | 0.7876 | [X:[], M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]] | t^2.04 + t^2.13 + t^2.3 + t^2.39 + t^2.46 + t^2.55 + t^3.45 + t^3.7 + t^3.79 + t^4.09 + t^4.18 + t^4.27 + t^4.34 + 2*t^4.43 + t^4.51 + t^4.52 + 3*t^4.6 + 2*t^4.69 + t^4.76 + t^4.78 + 3*t^4.85 + t^4.92 + t^4.94 + t^5.01 + t^5.1 + t^5.49 + t^5.58 + t^5.75 + 2*t^5.84 + t^5.93 - t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46128 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |