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 |
|---|---|---|---|---|---|---|---|---|---|
| 48251 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6708 | 0.8471 | 0.7919 | [X:[], M:[1.1466, 0.7084, 0.8534, 0.8203, 0.7975, 0.7644], q:[0.4101, 0.4433], qb:[0.8814, 0.7364], phi:[0.3822]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [7, 9], [-2, -2]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_5^2$, $ M_4M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_2\phi_1q_2^2$ | . | t^2.13 + 2*t^2.29 + t^2.39 + t^2.46 + t^2.56 + t^3.44 + t^3.81 + t^3.97 + t^4.25 + 2*t^4.42 + t^4.52 + 4*t^4.59 + 3*t^4.69 + 2*t^4.75 + t^4.79 + 4*t^4.85 + t^4.92 + t^4.95 + t^5.02 + t^5.12 + t^5.57 + t^5.73 + t^5.93 - 2*t^6. + 2*t^6.1 - t^6.17 + t^6.2 + 2*t^6.27 + 2*t^6.37 + t^6.38 + t^6.43 + t^6.53 + 2*t^6.54 + t^6.64 + 4*t^6.71 + 3*t^6.81 + 6*t^6.88 + t^6.91 + 6*t^6.98 + 3*t^7.05 + 3*t^7.08 + 5*t^7.15 + t^7.18 + 2*t^7.21 + 4*t^7.25 + 2*t^7.31 + t^7.35 + t^7.38 + t^7.41 + t^7.48 + t^7.61 + t^7.69 + t^7.78 + t^7.86 + t^7.95 + t^8.03 + t^8.06 - 3*t^8.13 - t^8.19 + 2*t^8.22 - 6*t^8.29 + t^8.32 - t^8.39 - 6*t^8.46 + 3*t^8.49 + t^8.5 - 2*t^8.56 + t^8.59 - t^8.63 + 4*t^8.66 + 2*t^8.67 + 2*t^8.76 + t^8.77 + 3*t^8.83 + 4*t^8.84 + t^8.9 + 2*t^8.93 + 3*t^8.94 - t^4.15/y - t^6.27/y - (2*t^6.44)/y - t^6.54/y - t^6.61/y + (2*t^7.42)/y + t^7.52/y + (2*t^7.59)/y + (4*t^7.69)/y + (3*t^7.75)/y + (5*t^7.85)/y + t^7.95/y + (2*t^8.02)/y - t^8.4/y - t^8.57/y - t^8.66/y - (2*t^8.73)/y - t^8.83/y - t^8.9/y - t^4.15*y - t^6.27*y - 2*t^6.44*y - t^6.54*y - t^6.61*y + 2*t^7.42*y + t^7.52*y + 2*t^7.59*y + 4*t^7.69*y + 3*t^7.75*y + 5*t^7.85*y + t^7.95*y + 2*t^8.02*y - t^8.4*y - t^8.57*y - t^8.66*y - 2*t^8.73*y - t^8.83*y - t^8.9*y | g1^2*g2^4*t^2.13 + (2*t^2.29)/(g1^2*g2^2) + g1^7*g2^9*t^2.39 + t^2.46/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + g1^11*g2^13*t^3.81 + g1^7*g2^7*t^3.97 + g1^4*g2^8*t^4.25 + 2*g2^2*t^4.42 + g1^9*g2^13*t^4.52 + (4*t^4.59)/(g1^4*g2^4) + 3*g1^5*g2^7*t^4.69 + (2*t^4.75)/(g1^8*g2^10) + g1^14*g2^18*t^4.79 + 4*g1*g2*t^4.85 + t^4.92/(g1^12*g2^16) + g1^10*g2^12*t^4.95 + t^5.02/(g1^3*g2^5) + g1^6*g2^6*t^5.12 + (g2*t^5.57)/g1 + t^5.73/(g1^5*g2^5) + g1^13*g2^17*t^5.93 - 2*t^6. + 2*g1^9*g2^11*t^6.1 - t^6.17/(g1^4*g2^6) + g1^18*g2^22*t^6.2 + 2*g1^5*g2^5*t^6.27 + 2*g1^14*g2^16*t^6.37 + g1^6*g2^12*t^6.38 + (g1*t^6.43)/g2 + g1^10*g2^10*t^6.53 + 2*g1^2*g2^6*t^6.54 + g1^11*g2^17*t^6.64 + (4*t^6.71)/g1^2 + 3*g1^7*g2^11*t^6.81 + (6*t^6.88)/(g1^6*g2^6) + g1^16*g2^22*t^6.91 + 6*g1^3*g2^5*t^6.98 + (3*t^7.05)/(g1^10*g2^12) + 3*g1^12*g2^16*t^7.08 + (5*t^7.15)/(g1*g2) + g1^21*g2^27*t^7.18 + (2*t^7.21)/(g1^14*g2^18) + 4*g1^8*g2^10*t^7.25 + (2*t^7.31)/(g1^5*g2^7) + g1^17*g2^21*t^7.35 + t^7.38/(g1^18*g2^24) + g1^4*g2^4*t^7.41 + t^7.48/(g1^9*g2^13) + g1^22*g2^26*t^7.61 + g1*g2^5*t^7.69 + g1^18*g2^20*t^7.78 + t^7.86/(g1^3*g2) + g1^14*g2^14*t^7.95 + t^8.03/(g1^7*g2^7) + g1^15*g2^21*t^8.06 - 3*g1^2*g2^4*t^8.13 - t^8.19/(g1^11*g2^13) + 2*g1^11*g2^15*t^8.22 - (6*t^8.29)/(g1^2*g2^2) + g1^20*g2^26*t^8.32 - g1^7*g2^9*t^8.39 - (6*t^8.46)/(g1^6*g2^8) + 3*g1^16*g2^20*t^8.49 + g1^8*g2^16*t^8.5 - 2*g1^3*g2^3*t^8.56 + g1^25*g2^31*t^8.59 - t^8.63/(g1^10*g2^14) + 4*g1^12*g2^14*t^8.66 + 2*g1^4*g2^10*t^8.67 + 2*g1^21*g2^25*t^8.76 + g1^13*g2^21*t^8.77 + 3*g1^8*g2^8*t^8.83 + 4*g2^4*t^8.84 + t^8.9/(g1^5*g2^9) + 2*g1^17*g2^19*t^8.93 + 3*g1^9*g2^15*t^8.94 - t^4.15/(g1*g2*y) - (g1*g2^3*t^6.27)/y - (2*t^6.44)/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.54)/y - t^6.61/(g1^7*g2^9*y) + (2*g2^2*t^7.42)/y + (g1^9*g2^13*t^7.52)/y + (2*t^7.59)/(g1^4*g2^4*y) + (4*g1^5*g2^7*t^7.69)/y + (3*t^7.75)/(g1^8*g2^10*y) + (5*g1*g2*t^7.85)/y + (g1^10*g2^12*t^7.95)/y + (2*t^8.02)/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.4)/y - (g2*t^8.57)/(g1*y) - (g1^8*g2^12*t^8.66)/y - (2*t^8.73)/(g1^5*g2^5*y) - (g1^4*g2^6*t^8.83)/y - t^8.9/(g1^9*g2^11*y) - (t^4.15*y)/(g1*g2) - g1*g2^3*t^6.27*y - (2*t^6.44*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.54*y - (t^6.61*y)/(g1^7*g2^9) + 2*g2^2*t^7.42*y + g1^9*g2^13*t^7.52*y + (2*t^7.59*y)/(g1^4*g2^4) + 4*g1^5*g2^7*t^7.69*y + (3*t^7.75*y)/(g1^8*g2^10) + 5*g1*g2*t^7.85*y + g1^10*g2^12*t^7.95*y + (2*t^8.02*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.4*y - (g2*t^8.57*y)/g1 - g1^8*g2^12*t^8.66*y - (2*t^8.73*y)/(g1^5*g2^5) - g1^4*g2^6*t^8.83*y - (t^8.9*y)/(g1^9*g2^11) |
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 |
|---|---|---|---|---|---|---|---|---|
| 50972 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_6$ | 0.6638 | 0.8403 | 0.7899 | [X:[], M:[1.2, 0.7748, 0.8, 0.8252, 0.7748, 0.8], q:[0.4126, 0.3874], qb:[0.8126, 0.7874], phi:[0.4]] | 2*t^2.32 + 3*t^2.4 + t^2.48 + t^3.52 + 2*t^3.6 + 3*t^4.65 + 6*t^4.72 + 9*t^4.8 + 3*t^4.88 + t^4.95 + 2*t^5.85 + 5*t^5.92 + 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 50912 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ | 0.6707 | 0.8463 | 0.7925 | [X:[], M:[1.1449, 0.7174, 0.8551, 0.8092, 0.8092, 0.7633], q:[0.4046, 0.4505], qb:[0.878, 0.7404], phi:[0.3816]] | t^2.15 + 2*t^2.29 + 2*t^2.43 + t^2.57 + t^3.43 + t^3.85 + t^3.99 + t^4.3 + 2*t^4.44 + 5*t^4.58 + 5*t^4.72 + 6*t^4.86 + 2*t^4.99 + t^5.13 + t^5.59 + t^5.72 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 54045 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7q_2\tilde{q}_1$ | 0.6917 | 0.8884 | 0.7785 | [X:[], M:[1.1451, 0.7067, 0.8549, 0.8201, 0.7982, 0.7634, 0.672], q:[0.4101, 0.4448], qb:[0.8832, 0.7351], phi:[0.3817]] | t^2.02 + t^2.12 + 2*t^2.29 + t^2.39 + t^2.46 + t^2.56 + t^3.44 + t^3.81 + t^4.03 + t^4.14 + t^4.24 + 2*t^4.31 + 3*t^4.41 + t^4.48 + t^4.51 + 5*t^4.58 + 3*t^4.68 + 2*t^4.75 + t^4.79 + 4*t^4.85 + t^4.92 + t^4.96 + t^5.02 + t^5.13 + t^5.45 + t^5.56 + t^5.73 + t^5.83 + t^5.93 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46787 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ | 0.6525 | 0.8144 | 0.8012 | [X:[], M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]] | t^2.15 + t^2.31 + t^2.38 + t^2.46 + t^2.54 + t^3.46 + t^3.69 + t^3.77 + t^3.93 + t^4.3 + t^4.46 + t^4.53 + 2*t^4.61 + 2*t^4.69 + 2*t^4.77 + 3*t^4.85 + t^4.92 + t^4.93 + t^5. + t^5.08 + t^5.61 + t^5.84 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail |