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 |
|---|---|---|---|---|---|---|---|---|---|
| 47182 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6546 | 0.8636 | 0.7581 | [X:[], M:[0.9622, 0.8239, 0.8085, 1.0378, 0.8865, 0.7329], q:[0.7405, 0.2973], qb:[0.4356, 0.4509], phi:[0.5189]] | [X:[], M:[[4, 4], [-13, -1], [-1, -13], [-4, -4], [12, 12], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_6$, $ M_3q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2M_3$, $ M_5q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2^2$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | . | -3 | 2*t^2.2 + t^2.24 + t^2.43 + t^2.47 + 2*t^2.66 + 2*t^3.11 + t^3.76 + t^4.17 + t^4.22 + t^4.26 + 3*t^4.4 + 2*t^4.44 + t^4.49 + 2*t^4.62 + 3*t^4.67 + t^4.72 + t^4.85 + 4*t^4.86 + 3*t^4.9 + t^4.94 + 2*t^5.09 + 2*t^5.13 + 4*t^5.31 + 3*t^5.32 + 2*t^5.36 + t^5.54 + t^5.59 + 3*t^5.77 + t^5.95 - 3*t^6. - t^6.05 + t^6.18 + 2*t^6.23 + 2*t^6.37 + 3*t^6.41 + t^6.46 + t^6.51 + 5*t^6.6 + 3*t^6.64 + 2*t^6.69 + 2*t^6.73 + 3*t^6.82 + 2*t^6.83 + 5*t^6.87 + 2*t^6.88 + t^6.91 + 2*t^6.92 + t^6.96 + 2*t^7.05 + 5*t^7.06 + 5*t^7.1 + 2*t^7.14 + t^7.15 + t^7.19 + 6*t^7.28 + t^7.32 + 5*t^7.33 + t^7.37 + 3*t^7.38 + t^7.41 + 7*t^7.51 + 6*t^7.52 + 5*t^7.56 + 2*t^7.6 + 4*t^7.74 + 3*t^7.78 + 2*t^7.79 + t^7.83 + t^7.93 + t^7.96 + 4*t^7.97 + 4*t^7.98 + t^8.02 + t^8.06 + t^8.15 - 6*t^8.2 - 4*t^8.24 - t^8.29 + t^8.34 + t^8.38 + t^8.39 + 5*t^8.43 - 3*t^8.47 + t^8.48 + 3*t^8.57 + 4*t^8.61 - 6*t^8.66 - t^8.71 + t^8.75 + 7*t^8.79 + 5*t^8.84 + 2*t^8.89 + 2*t^8.93 + 2*t^8.98 - t^4.56/y - t^6.76/y - t^6.98/y - t^7.03/y - t^7.22/y + t^7.4/y + (3*t^7.44)/y + (2*t^7.62)/y + (2*t^7.67)/y + t^7.72/y + (4*t^7.86)/y + (4*t^7.9)/y + (3*t^8.09)/y + (3*t^8.13)/y + (4*t^8.31)/y + t^8.32/y + (3*t^8.36)/y + (2*t^8.54)/y + (2*t^8.59)/y + (4*t^8.77)/y + t^8.95/y - t^4.56*y - t^6.76*y - t^6.98*y - t^7.03*y - t^7.22*y + t^7.4*y + 3*t^7.44*y + 2*t^7.62*y + 2*t^7.67*y + t^7.72*y + 4*t^7.86*y + 4*t^7.9*y + 3*t^8.09*y + 3*t^8.13*y + 4*t^8.31*y + t^8.32*y + 3*t^8.36*y + 2*t^8.54*y + 2*t^8.59*y + 4*t^8.77*y + t^8.95*y | (2*g1^7*t^2.2)/g2^5 + (g2^7*t^2.24)/g1^5 + t^2.43/(g1*g2^13) + t^2.47/(g1^13*g2) + 2*g1^12*g2^12*t^2.66 + (2*t^3.11)/(g1^4*g2^4) + (g1^5*t^3.76)/g2^7 + (g1^22*t^4.17)/g2^2 + g1^10*g2^10*t^4.22 + (g2^22*t^4.26)/g1^2 + (3*g1^14*t^4.4)/g2^10 + 2*g1^2*g2^2*t^4.44 + (g2^14*t^4.49)/g1^10 + (2*g1^6*t^4.62)/g2^18 + (3*t^4.67)/(g1^6*g2^6) + (g2^6*t^4.72)/g1^18 + t^4.85/(g1^2*g2^26) + 4*g1^19*g2^7*t^4.86 + t^4.9/(g1^14*g2^14) + 2*g1^7*g2^19*t^4.9 + t^4.94/(g1^26*g2^2) + (2*g1^11*t^5.09)/g2 + (2*g2^11*t^5.13)/g1 + (4*g1^3*t^5.31)/g2^9 + 3*g1^24*g2^24*t^5.32 + (2*g2^3*t^5.36)/g1^9 + t^5.54/(g1^5*g2^17) + t^5.59/(g1^17*g2^5) + 3*g1^8*g2^8*t^5.77 + (g1^12*t^5.95)/g2^12 - 3*t^6. - (g2^12*t^6.05)/g1^12 + (g1^4*t^6.18)/g2^20 + (2*t^6.23)/(g1^8*g2^8) + (2*g1^29*t^6.37)/g2^7 + 3*g1^17*g2^5*t^6.41 + g1^5*g2^17*t^6.46 + (g2^29*t^6.51)/g1^7 + (5*g1^21*t^6.6)/g2^15 + (3*g1^9*t^6.64)/g2^3 + (2*g2^9*t^6.69)/g1^3 + (2*g2^21*t^6.73)/g1^15 + (3*g1^13*t^6.82)/g2^23 + 2*g1^34*g2^10*t^6.83 + (5*g1*t^6.87)/g2^11 + 2*g1^22*g2^22*t^6.88 + (g2*t^6.91)/g1^11 + 2*g1^10*g2^34*t^6.92 + (g2^13*t^6.96)/g1^23 + (2*g1^5*t^7.05)/g2^31 + 5*g1^26*g2^2*t^7.06 + (2*t^7.1)/(g1^7*g2^19) + 3*g1^14*g2^14*t^7.1 + (2*t^7.14)/(g1^19*g2^7) + g1^2*g2^26*t^7.15 + (g2^5*t^7.19)/g1^31 + t^7.28/(g1^3*g2^39) + (5*g1^18*t^7.28)/g2^6 + t^7.32/(g1^15*g2^27) + 5*g1^6*g2^6*t^7.33 + t^7.37/(g1^27*g2^15) + (3*g2^18*t^7.38)/g1^6 + t^7.41/(g1^39*g2^3) + (7*g1^10*t^7.51)/g2^14 + 6*g1^31*g2^19*t^7.52 + (2*t^7.56)/(g1^2*g2^2) + 3*g1^19*g2^31*t^7.56 + (2*g2^10*t^7.6)/g1^14 + (2*g1^2*t^7.74)/g2^22 + 2*g1^23*g2^11*t^7.74 + (3*t^7.78)/(g1^10*g2^10) + 2*g1^11*g2^23*t^7.79 + (g2^2*t^7.83)/g1^22 + (g1^27*t^7.93)/g2^9 + t^7.96/(g1^6*g2^30) + 4*g1^15*g2^3*t^7.97 + 4*g1^36*g2^36*t^7.98 + g1^3*g2^15*t^8.02 + t^8.06/(g1^30*g2^6) + (g1^19*t^8.15)/g2^17 - (6*g1^7*t^8.2)/g2^5 - (4*g2^7*t^8.24)/g1^5 - (g2^19*t^8.29)/g1^17 + (g1^44*t^8.34)/g2^4 + (g1^11*t^8.38)/g2^25 + g1^32*g2^8*t^8.39 + 5*g1^20*g2^20*t^8.43 - (3*t^8.47)/(g1^13*g2) + g1^8*g2^32*t^8.48 - (g2^11*t^8.52)/g1^25 + (g2^44*t^8.52)/g1^4 + (3*g1^36*t^8.57)/g2^12 + 3*g1^24*t^8.61 + (g1^3*t^8.61)/g2^33 - 6*g1^12*g2^12*t^8.66 - g2^24*t^8.71 + (g2^36*t^8.75)/g1^12 + (7*g1^28*t^8.79)/g2^20 + (5*g1^16*t^8.84)/g2^8 + 2*g1^4*g2^4*t^8.89 + (2*g2^16*t^8.93)/g1^8 + (2*g2^28*t^8.98)/g1^20 - t^4.56/(g1^2*g2^2*y) - (g1^5*t^6.76)/(g2^7*y) - t^6.98/(g1^3*g2^15*y) - t^7.03/(g1^15*g2^3*y) - (g1^10*g2^10*t^7.22)/y + (g1^14*t^7.4)/(g2^10*y) + (3*g1^2*g2^2*t^7.44)/y + (2*g1^6*t^7.62)/(g2^18*y) + (2*t^7.67)/(g1^6*g2^6*y) + (g2^6*t^7.72)/(g1^18*y) + (4*g1^19*g2^7*t^7.86)/y + (2*t^7.9)/(g1^14*g2^14*y) + (2*g1^7*g2^19*t^7.9)/y + (3*g1^11*t^8.09)/(g2*y) + (3*g2^11*t^8.13)/(g1*y) + (4*g1^3*t^8.31)/(g2^9*y) + (g1^24*g2^24*t^8.32)/y + (3*g2^3*t^8.36)/(g1^9*y) + (2*t^8.54)/(g1^5*g2^17*y) + (2*t^8.59)/(g1^17*g2^5*y) + (4*g1^8*g2^8*t^8.77)/y + (g1^12*t^8.95)/(g2^12*y) - (t^4.56*y)/(g1^2*g2^2) - (g1^5*t^6.76*y)/g2^7 - (t^6.98*y)/(g1^3*g2^15) - (t^7.03*y)/(g1^15*g2^3) - g1^10*g2^10*t^7.22*y + (g1^14*t^7.4*y)/g2^10 + 3*g1^2*g2^2*t^7.44*y + (2*g1^6*t^7.62*y)/g2^18 + (2*t^7.67*y)/(g1^6*g2^6) + (g2^6*t^7.72*y)/g1^18 + 4*g1^19*g2^7*t^7.86*y + (2*t^7.9*y)/(g1^14*g2^14) + 2*g1^7*g2^19*t^7.9*y + (3*g1^11*t^8.09*y)/g2 + (3*g2^11*t^8.13*y)/g1 + (4*g1^3*t^8.31*y)/g2^9 + g1^24*g2^24*t^8.32*y + (3*g2^3*t^8.36*y)/g1^9 + (2*t^8.54*y)/(g1^5*g2^17) + (2*t^8.59*y)/(g1^17*g2^5) + 4*g1^8*g2^8*t^8.77*y + (g1^12*t^8.95*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 53999 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ | 0.6545 | 0.863 | 0.7584 | [X:[], M:[0.9621, 0.8163, 0.8163, 1.0379, 0.8864, 0.7405], q:[0.7405, 0.2974], qb:[0.4432, 0.4432], phi:[0.5189]] | 3*t^2.22 + 2*t^2.45 + 2*t^2.66 + 2*t^3.11 + t^3.78 + 3*t^4.22 + 6*t^4.44 + 6*t^4.67 + 6*t^4.88 + 3*t^4.9 + 4*t^5.11 + 3*t^5.32 + 6*t^5.34 + 2*t^5.56 + 3*t^5.77 - 3*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46780 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ | 0.6351 | 0.8273 | 0.7677 | [X:[], M:[0.9627, 0.8153, 0.8153, 1.0373, 0.888], q:[0.7407, 0.2966], qb:[0.444, 0.444], phi:[0.5187]] | 2*t^2.22 + 2*t^2.45 + 2*t^2.66 + 2*t^3.11 + 2*t^3.78 + 3*t^4.22 + 3*t^4.44 + 4*t^4.67 + 7*t^4.89 + 4*t^5.11 + 7*t^5.33 + 2*t^5.56 + 3*t^5.78 - 2*t^6. - t^4.56/y - t^4.56*y | detail |