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 |
|---|---|---|---|---|---|---|---|---|---|
| 2842 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ | 0.6706 | 0.8484 | 0.7904 | [X:[], M:[0.7464, 0.7935, 0.6948, 0.8451, 1.1549, 0.8451], q:[0.8569, 0.3967], qb:[0.4484, 0.7582], phi:[0.385]] | [X:[], M:[[2, 10], [-6, -6], [-7, 7], [3, -3], [-3, 3], [3, -3]], q:[[1, -7], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_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_3\phi_1q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_2\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | -2 | 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. + 2*t^6.07 + t^6.08 + 2*t^6.23 + t^6.25 + 2*t^6.38 + t^6.41 + t^6.48 + t^6.55 + t^6.56 + t^6.63 + 4*t^6.7 + t^6.72 + t^6.77 + t^6.79 + t^6.85 + 4*t^6.86 + 4*t^6.93 + 3*t^7. + 2*t^7.01 + 2*t^7.07 + 2*t^7.08 + t^7.14 + 5*t^7.15 + 2*t^7.23 + 2*t^7.3 + t^7.31 + 3*t^7.38 + 2*t^7.45 + 3*t^7.61 + t^7.69 + t^7.7 + t^7.86 + t^8. + t^8.01 - 3*t^8.08 + 2*t^8.15 + t^8.17 - 3*t^8.24 + t^8.3 - t^8.31 + t^8.32 + t^8.34 - 3*t^8.38 + 2*t^8.45 + t^8.46 + t^8.49 - 6*t^8.54 + t^8.56 + 2*t^8.61 + 2*t^8.62 + t^8.63 + t^8.65 + t^8.72 + 2*t^8.76 + 4*t^8.79 + t^8.8 + t^8.86 + t^8.87 + 3*t^8.92 + t^8.93 + 4*t^8.94 + t^8.96 - t^4.15/y - t^6.24/y - t^6.39/y - t^6.46/y - t^6.54/y - t^6.69/y + t^7.32/y + t^7.39/y + t^7.46/y + t^7.55/y + (4*t^7.62)/y + t^7.69/y + (3*t^7.77)/y + (3*t^7.85)/y + (3*t^7.92)/y + (2*t^8.07)/y - t^8.32/y - t^8.48/y - t^8.55/y - t^8.63/y - t^8.7/y - t^8.77/y + t^8.93/y - t^4.15*y - t^6.24*y - t^6.39*y - t^6.46*y - t^6.54*y - t^6.69*y + t^7.32*y + t^7.39*y + t^7.46*y + t^7.55*y + 4*t^7.62*y + t^7.69*y + 3*t^7.77*y + 3*t^7.85*y + 3*t^7.92*y + 2*t^8.07*y - t^8.32*y - t^8.48*y - t^8.55*y - t^8.63*y - t^8.7*y - t^8.77*y + t^8.93*y | (g2^7*t^2.08)/g1^7 + g1^2*g2^10*t^2.24 + (g2^2*t^2.31)/g1^2 + t^2.38/(g1^6*g2^6) + (2*g1^3*t^2.54)/g2^3 + t^3.54/(g1^7*g2^5) + (g1^2*t^3.69)/g2^2 + g1^11*g2*t^3.85 + (g2^14*t^4.17)/g1^14 + (g2^17*t^4.32)/g1^5 + (g2^9*t^4.39)/g1^9 + (g2*t^4.46)/g1^13 + g1^4*g2^20*t^4.48 + g2^12*t^4.55 + (4*g2^4*t^4.62)/g1^4 + t^4.69/(g1^8*g2^4) + t^4.76/(g1^12*g2^12) + 2*g1^5*g2^7*t^4.77 + (3*g1*t^4.85)/g2 + (2*t^4.92)/(g1^3*g2^9) + (3*g1^6*t^5.07)/g2^6 + (g2^2*t^5.62)/g1^14 + (g2^5*t^5.77)/g1^5 + t^5.92/(g1^13*g2^11) + g1^4*g2^8*t^5.93 - 2*t^6. + (2*t^6.07)/(g1^4*g2^8) + g1^13*g2^11*t^6.08 + (2*g1^5*t^6.23)/g2^5 + (g2^21*t^6.25)/g1^21 + (2*g1^14*t^6.38)/g2^2 + (g2^24*t^6.41)/g1^12 + (g2^16*t^6.48)/g1^16 + (g2^8*t^6.55)/g1^20 + (g2^27*t^6.56)/g1^3 + (g2^19*t^6.63)/g1^7 + (4*g2^11*t^6.7)/g1^11 + g1^6*g2^30*t^6.72 + (g2^3*t^6.77)/g1^15 + g1^2*g2^22*t^6.79 + t^6.85/(g1^19*g2^5) + (4*g2^14*t^6.86)/g1^2 + (4*g2^6*t^6.93)/g1^6 + (3*t^7.)/(g1^10*g2^2) + 2*g1^7*g2^17*t^7.01 + (2*t^7.07)/(g1^14*g2^10) + 2*g1^3*g2^9*t^7.08 + t^7.14/(g1^18*g2^18) + (5*g2*t^7.15)/g1 + (2*t^7.23)/(g1^5*g2^7) + (2*t^7.3)/(g1^9*g2^15) + g1^8*g2^4*t^7.31 + (3*g1^4*t^7.38)/g2^4 + (2*t^7.45)/g2^12 + (3*g1^9*t^7.61)/g2^9 + g1^22*g2^2*t^7.69 + (g2^9*t^7.7)/g1^21 + (g2^12*t^7.86)/g1^12 + t^8./(g1^20*g2^4) + (g2^15*t^8.01)/g1^3 - (3*g2^7*t^8.08)/g1^7 + (2*t^8.15)/(g1^11*g2) + g1^6*g2^18*t^8.17 - 3*g1^2*g2^10*t^8.24 + t^8.3/(g1^19*g2^17) - (g2^2*t^8.31)/g1^2 + g1^15*g2^21*t^8.32 + (g2^28*t^8.34)/g1^28 - (3*t^8.38)/(g1^6*g2^6) + (2*t^8.45)/(g1^10*g2^14) + g1^7*g2^5*t^8.46 + (g2^31*t^8.49)/g1^19 - (6*g1^3*t^8.54)/g2^3 + (g2^23*t^8.56)/g1^23 + (2*t^8.61)/(g1*g2^11) + 2*g1^16*g2^8*t^8.62 + (g2^15*t^8.63)/g1^27 + (g2^34*t^8.65)/g1^10 + (g2^26*t^8.72)/g1^14 + (2*g1^8*t^8.76)/g2^8 + (4*g2^18*t^8.79)/g1^18 + (g2^37*t^8.8)/g1 + (g2^10*t^8.86)/g1^22 + (g2^29*t^8.87)/g1^5 + (3*g1^17*t^8.92)/g2^5 + (g2^2*t^8.93)/g1^26 + (4*g2^21*t^8.94)/g1^9 + g1^8*g2^40*t^8.96 - (g2*t^4.15)/(g1*y) - (g2^8*t^6.24)/(g1^8*y) - (g1*g2^11*t^6.39)/y - (g2^3*t^6.46)/(g1^3*y) - t^6.54/(g1^7*g2^5*y) - (g1^2*t^6.69)/(g2^2*y) + (g2^17*t^7.32)/(g1^5*y) + (g2^9*t^7.39)/(g1^9*y) + (g2*t^7.46)/(g1^13*y) + (g2^12*t^7.55)/y + (4*g2^4*t^7.62)/(g1^4*y) + t^7.69/(g1^8*g2^4*y) + (3*g1^5*g2^7*t^7.77)/y + (3*g1*t^7.85)/(g2*y) + (3*t^7.92)/(g1^3*g2^9*y) + (2*g1^6*t^8.07)/(g2^6*y) - (g2^15*t^8.32)/(g1^15*y) - (g2^18*t^8.48)/(g1^6*y) - (g2^10*t^8.55)/(g1^10*y) - (g1^3*g2^21*t^8.63)/y - (g2^13*t^8.7)/(g1*y) - (g2^5*t^8.77)/(g1^5*y) + (g1^4*g2^8*t^8.93)/y - (g2*t^4.15*y)/g1 - (g2^8*t^6.24*y)/g1^8 - g1*g2^11*t^6.39*y - (g2^3*t^6.46*y)/g1^3 - (t^6.54*y)/(g1^7*g2^5) - (g1^2*t^6.69*y)/g2^2 + (g2^17*t^7.32*y)/g1^5 + (g2^9*t^7.39*y)/g1^9 + (g2*t^7.46*y)/g1^13 + g2^12*t^7.55*y + (4*g2^4*t^7.62*y)/g1^4 + (t^7.69*y)/(g1^8*g2^4) + 3*g1^5*g2^7*t^7.77*y + (3*g1*t^7.85*y)/g2 + (3*t^7.92*y)/(g1^3*g2^9) + (2*g1^6*t^8.07*y)/g2^6 - (g2^15*t^8.32*y)/g1^15 - (g2^18*t^8.48*y)/g1^6 - (g2^10*t^8.55*y)/g1^10 - g1^3*g2^21*t^8.63*y - (g2^13*t^8.7*y)/g1 - (g2^5*t^8.77*y)/g1^5 + g1^4*g2^8*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3395 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6888 | 0.8814 | 0.7814 | [X:[], M:[0.7416, 0.7927, 0.685, 0.8493, 1.1507, 0.8493, 0.7672], q:[0.862, 0.3964], qb:[0.4529, 0.7544], phi:[0.3836]] | t^2.06 + t^2.22 + 2*t^2.3 + t^2.38 + 2*t^2.55 + t^3.53 + t^3.87 + t^4.11 + t^4.28 + 2*t^4.36 + t^4.43 + t^4.45 + 2*t^4.53 + 6*t^4.6 + 2*t^4.68 + t^4.76 + 2*t^4.77 + 5*t^4.85 + 2*t^4.93 + 3*t^5.1 + t^5.58 + t^5.83 + t^5.91 - 3*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3396 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6909 | 0.8877 | 0.7783 | [X:[], M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | t^2.05 + t^2.1 + t^2.25 + t^2.3 + t^2.35 + 2*t^2.55 + t^3.5 + t^3.7 + t^4.11 + t^4.16 + t^4.21 + t^4.3 + 2*t^4.35 + 2*t^4.4 + t^4.46 + t^4.5 + t^4.55 + 4*t^4.6 + 3*t^4.65 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.9 + 3*t^5.1 + t^5.56 + t^5.61 + t^5.75 + t^5.8 + t^5.85 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1824 | 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$ + $ \phi_1q_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]] | 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^4.15/y - t^4.15*y | detail |