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 |
|---|---|---|---|---|---|---|---|---|---|
| 46799 | 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6851 | 0.8556 | 0.8007 | [X:[], M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18], [1, -15]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_3$, $ \phi_1^2$, $ M_6$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_4M_6$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_6^2$, $ M_2\phi_1^2$, $ M_2M_6$, $ M_2^2$, $ M_1M_5$ | . | -2 | t^2.28 + t^2.41 + t^2.51 + t^2.61 + t^2.71 + t^2.94 + t^3.49 + t^3.82 + t^4.04 + t^4.27 + t^4.37 + t^4.57 + t^4.6 + t^4.69 + t^4.79 + t^4.82 + t^4.89 + t^4.92 + t^4.99 + 2*t^5.02 + 2*t^5.12 + t^5.15 + 2*t^5.22 + t^5.32 + t^5.35 + t^5.42 + t^5.55 + t^5.65 + t^5.87 + t^5.9 - 2*t^6. + t^6.1 + t^6.2 + t^6.33 + t^6.43 + t^6.45 + t^6.55 + 2*t^6.65 + t^6.68 + t^6.75 + t^6.85 + t^6.88 + 3*t^6.98 + t^7.01 + t^7.08 + t^7.11 + t^7.18 + t^7.21 + t^7.23 + t^7.28 + 2*t^7.31 + t^7.33 + 2*t^7.4 + 2*t^7.43 + 2*t^7.5 + 3*t^7.53 + t^7.56 + t^7.6 + 3*t^7.63 + t^7.7 + 2*t^7.73 + 2*t^7.76 + 3*t^7.83 + t^7.86 + 2*t^7.93 + t^7.96 - t^7.98 + t^8.03 + t^8.06 + t^8.09 + t^8.13 + 2*t^8.16 - t^8.18 + t^8.26 - 3*t^8.28 + t^8.29 + t^8.31 + t^8.36 - 2*t^8.41 + t^8.48 - 2*t^8.51 + t^8.58 - t^8.61 + 2*t^8.64 - 2*t^8.71 + t^8.81 + t^8.84 + t^8.87 + t^8.91 - t^8.94 + t^8.96 - t^4.31/y - t^6.59/y - t^6.72/y - t^6.92/y - t^7.02/y - t^7.24/y + t^7.37/y + t^7.6/y + (2*t^7.69)/y + t^7.79/y + (2*t^7.89)/y + t^7.92/y + t^7.99/y + (2*t^8.02)/y + (2*t^8.12)/y + (2*t^8.22)/y + t^8.32/y + t^8.35/y + t^8.45/y + t^8.55/y + t^8.65/y + t^8.77/y - t^8.87/y + t^8.9/y - t^4.31*y - t^6.59*y - t^6.72*y - t^6.92*y - t^7.02*y - t^7.24*y + t^7.37*y + t^7.6*y + 2*t^7.69*y + t^7.79*y + 2*t^7.89*y + t^7.92*y + t^7.99*y + 2*t^8.02*y + 2*t^8.12*y + 2*t^8.22*y + t^8.32*y + t^8.35*y + t^8.45*y + t^8.55*y + t^8.65*y + t^8.77*y - t^8.87*y + t^8.9*y | (g1^2*t^2.28)/g2^16 + (g2^18*t^2.41)/g1^2 + (g2^7*t^2.51)/g1 + t^2.61/g2^4 + (g1*t^2.71)/g2^15 + (g2^8*t^2.94)/g1^2 + (g1*t^3.49)/g2^7 + (g2^5*t^3.82)/g1 + (g2^28*t^4.04)/g1^4 + g1*g2*t^4.27 + (g1^2*t^4.37)/g2^10 + (g1^4*t^4.57)/g2^32 + (g2^13*t^4.6)/g1 + g2^2*t^4.69 + (g1*t^4.79)/g2^9 + (g2^36*t^4.82)/g1^4 + (g1^2*t^4.89)/g2^20 + (g2^25*t^4.92)/g1^3 + (g1^3*t^4.99)/g2^31 + (2*g2^14*t^5.02)/g1^2 + (2*g2^3*t^5.12)/g1 + (g1^2*t^5.15)/g2^2 + (2*t^5.22)/g2^8 + (g1*t^5.32)/g2^19 + (g2^26*t^5.35)/g1^4 + (g1^2*t^5.42)/g2^30 + (g2^4*t^5.55)/g1^2 + t^5.65/(g1*g2^7) + (g2^16*t^5.87)/g1^4 + (g2^11*t^5.9)/g1 - 2*t^6. + (g1*t^6.1)/g2^11 + (g1^2*t^6.2)/g2^22 + (g2^12*t^6.33)/g1^2 + (g2*t^6.43)/g1 + (g2^46*t^6.45)/g1^6 + (g2^35*t^6.55)/g1^5 + (g1^4*t^6.65)/g2^26 + (g2^24*t^6.65)/g1^4 + (g2^19*t^6.68)/g1 + (g2^13*t^6.75)/g1^3 + (g1^6*t^6.85)/g2^48 + (g1*t^6.88)/g2^3 + (2*g1^2*t^6.98)/g2^14 + (g2^36*t^6.98)/g1^6 + (g2^31*t^7.01)/g1^3 + (g1^3*t^7.08)/g2^25 + (g2^20*t^7.11)/g1^2 + (g1^4*t^7.18)/g2^36 + (g2^9*t^7.21)/g1 + (g2^54*t^7.23)/g1^6 + (g1^5*t^7.28)/g2^47 + (2*t^7.31)/g2^2 + (g2^43*t^7.33)/g1^5 + (2*g1*t^7.4)/g2^13 + (g1^4*t^7.43)/g2^18 + (g2^32*t^7.43)/g1^4 + (2*g1^2*t^7.5)/g2^24 + (3*g2^21*t^7.53)/g1^3 + g2^16*t^7.56 + (g1^3*t^7.6)/g2^35 + (3*g2^10*t^7.63)/g1^2 + (g1^4*t^7.7)/g2^46 + (2*t^7.73)/(g1*g2) + (g1^2*t^7.76)/g2^6 + (g2^44*t^7.76)/g1^6 + (3*t^7.83)/g2^12 + (g2^33*t^7.86)/g1^5 + (2*g1*t^7.93)/g2^23 + (g2^22*t^7.96)/g1^4 - (g2^17*t^7.98)/g1 + (g1^2*t^8.03)/g2^34 + (g2^11*t^8.06)/g1^3 + (g2^56*t^8.09)/g1^8 + (g1^3*t^8.13)/g2^45 + (2*t^8.16)/g1^2 - (g1*t^8.18)/g2^5 + t^8.26/(g1*g2^11) - (3*g1^2*t^8.28)/g2^16 + (g2^34*t^8.29)/g1^6 + (g2^29*t^8.31)/g1^3 + t^8.36/g2^22 - (2*g2^18*t^8.41)/g1^2 + (g2^12*t^8.48)/g1^4 - (2*g2^7*t^8.51)/g1 + (g2*t^8.58)/g1^3 - t^8.61/g2^4 + (g1^3*t^8.64)/g2^9 + (g2^41*t^8.64)/g1^5 - (2*g1*t^8.71)/g2^15 + (g2^24*t^8.81)/g1^6 + (g2^19*t^8.84)/g1^3 + (g2^64*t^8.87)/g1^8 + (g1^3*t^8.91)/g2^37 + (g1^6*t^8.94)/g2^42 - (2*g2^8*t^8.94)/g1^2 + (g2^53*t^8.96)/g1^7 - t^4.31/(g2^2*y) - (g1^2*t^6.59)/(g2^18*y) - (g2^16*t^6.72)/(g1^2*y) - t^6.92/(g2^6*y) - (g1*t^7.02)/(g2^17*y) - (g2^6*t^7.24)/(g1^2*y) + (g1^2*t^7.37)/(g2^10*y) + (g2^13*t^7.6)/(g1*y) + (2*g2^2*t^7.69)/y + (g1*t^7.79)/(g2^9*y) + (2*g1^2*t^7.89)/(g2^20*y) + (g2^25*t^7.92)/(g1^3*y) + (g1^3*t^7.99)/(g2^31*y) + (2*g2^14*t^8.02)/(g1^2*y) + (2*g2^3*t^8.12)/(g1*y) + (2*t^8.22)/(g2^8*y) + (g1*t^8.32)/(g2^19*y) + (g2^26*t^8.35)/(g1^4*y) + (g2^15*t^8.45)/(g1^3*y) + (g2^4*t^8.55)/(g1^2*y) + t^8.65/(g1*g2^7*y) + (g1^3*t^8.77)/(g2^23*y) - (g1^4*t^8.87)/(g2^34*y) + (g2^11*t^8.9)/(g1*y) - (t^4.31*y)/g2^2 - (g1^2*t^6.59*y)/g2^18 - (g2^16*t^6.72*y)/g1^2 - (t^6.92*y)/g2^6 - (g1*t^7.02*y)/g2^17 - (g2^6*t^7.24*y)/g1^2 + (g1^2*t^7.37*y)/g2^10 + (g2^13*t^7.6*y)/g1 + 2*g2^2*t^7.69*y + (g1*t^7.79*y)/g2^9 + (2*g1^2*t^7.89*y)/g2^20 + (g2^25*t^7.92*y)/g1^3 + (g1^3*t^7.99*y)/g2^31 + (2*g2^14*t^8.02*y)/g1^2 + (2*g2^3*t^8.12*y)/g1 + (2*t^8.22*y)/g2^8 + (g1*t^8.32*y)/g2^19 + (g2^26*t^8.35*y)/g1^4 + (g2^15*t^8.45*y)/g1^3 + (g2^4*t^8.55*y)/g1^2 + (t^8.65*y)/(g1*g2^7) + (g1^3*t^8.77*y)/g2^23 - (g1^4*t^8.87*y)/g2^34 + (g2^11*t^8.9*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55343 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_2^2$ | 0.6848 | 0.8548 | 0.8012 | [X:[], M:[1.1585, 1.0, 0.8415, 0.7561, 0.8049, 0.9146], q:[0.378, 0.4635], qb:[0.622, 0.7805], phi:[0.439]] | t^2.27 + t^2.41 + t^2.52 + t^2.63 + t^2.74 + t^3. + t^3.48 + t^3.84 + t^4.1 + t^4.21 + t^4.32 + t^4.54 + t^4.57 + t^4.68 + t^4.79 + t^4.83 + t^4.9 + t^4.94 + t^5.01 + 3*t^5.05 + 2*t^5.16 + 2*t^5.27 + t^5.38 + t^5.41 + t^5.49 + t^5.63 + t^5.74 + t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 50836 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0959, 1.0207, 0.9041, 0.5959, 1.0, 0.7124], q:[0.2979, 0.6062], qb:[0.6814, 0.7979], phi:[0.4041]] | t^2.14 + t^2.42 + t^2.71 + t^3. + t^3.06 + t^3.29 + t^3.92 + t^4.15 + t^4.21 + t^4.27 + t^4.44 + t^4.56 + 2*t^4.85 + 2*t^5.14 + t^5.2 + t^5.3 + 3*t^5.42 + t^5.49 + t^5.71 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 55295 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6689 | 0.8376 | 0.7985 | [X:[], M:[1.1715, 1.0713, 0.8285, 0.8144, 0.7142, 1.0572], q:[0.4072, 0.4213], qb:[0.5215, 0.7643], phi:[0.4714]] | t^2.14 + t^2.44 + t^2.49 + t^2.83 + t^3.17 + t^3.21 + t^3.51 + t^3.86 + t^3.9 + t^3.94 + t^4.2 + t^4.24 + t^4.29 + t^4.54 + t^4.59 + t^4.63 + t^4.89 + t^4.93 + 2*t^4.97 + t^5.27 + 2*t^5.31 + t^5.36 + t^5.61 + 3*t^5.66 - t^4.41/y - t^4.41*y | detail | |
| 55050 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.6788 | 0.8484 | 0.8001 | [X:[], M:[1.1711, 1.0295, 0.8289, 0.7994, 0.7434, 1.0], q:[0.3997, 0.4292], qb:[0.5708, 0.7714], phi:[0.4572]] | t^2.23 + t^2.4 + t^2.49 + t^2.74 + t^3. + t^3.09 + t^3.51 + t^3.86 + t^3.95 + t^4.03 + t^4.28 + t^4.37 + t^4.46 + t^4.63 + t^4.72 + 2*t^4.8 + t^4.88 + 2*t^4.97 + t^5.14 + 2*t^5.23 + t^5.32 + t^5.4 + 2*t^5.49 + 2*t^5.74 + t^5.83 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 54739 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[1.1625, 1.0013, 0.8375, 0.7671, 0.7907, 0.9309, 1.1158], q:[0.3836, 0.4539], qb:[0.6152, 0.7789], phi:[0.4421]] | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.18 + t^4.32 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.31 + t^5.38 + t^5.59 + t^5.65 + t^5.72 + t^5.8 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46743 | 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}_2^2$ + $ M_5\phi_1q_1^2$ | 0.6793 | 0.8474 | 0.8016 | [X:[], M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.28 + t^2.36 + t^2.49 + t^2.7 + t^3.04 + t^3.09 + t^3.51 + t^3.85 + t^3.98 + t^4.1 + t^4.31 + t^4.44 + t^4.57 + t^4.65 + t^4.73 + t^4.78 + t^4.86 + t^4.9 + 2*t^4.99 + t^5.07 + t^5.2 + t^5.33 + t^5.37 + t^5.41 + t^5.45 + t^5.58 + t^5.75 + 2*t^5.79 - 2*t^6. - t^4.35/y - t^4.35*y | detail |