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 |
|---|---|---|---|---|---|---|---|---|---|
| 48292 | 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_1q_2$ + $ M_1M_6$ | 0.6955 | 0.8765 | 0.7936 | [X:[], M:[1.1646, 1.013, 0.8354, 0.7766, 0.7172, 0.8354], q:[0.3883, 0.4471], qb:[0.5987, 0.7763], phi:[0.4474]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -5], [-1, 7]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_5$, $ M_5M_6$, $ M_3M_4$, $ M_4M_6$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_6$, $ M_3q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$ | t^2.15 + t^2.33 + 2*t^2.51 + t^2.68 + t^3.04 + t^3.14 + t^3.67 + t^4.02 + t^4.13 + 2*t^4.3 + 2*t^4.48 + 3*t^4.66 + 3*t^4.84 + t^4.93 + 4*t^5.01 + 3*t^5.19 + t^5.29 + t^5.37 + t^5.47 + t^5.55 + 2*t^5.64 + t^5.72 + t^5.82 - 2*t^6. + t^6.08 + 2*t^6.18 + t^6.27 + t^6.28 + t^6.36 + 2*t^6.45 + t^6.53 + 3*t^6.63 + t^6.71 + 6*t^6.81 - t^6.89 + 4*t^6.99 + t^7.06 + t^7.09 + 4*t^7.16 + 2*t^7.17 + 2*t^7.26 + 5*t^7.34 + 3*t^7.44 + 6*t^7.52 + 2*t^7.62 + 5*t^7.7 + t^7.8 + 2*t^7.87 + t^7.97 + t^7.98 + 3*t^8.05 + t^8.07 + 2*t^8.23 - t^8.33 + 2*t^8.41 + 2*t^8.43 + t^8.5 - 5*t^8.51 + t^8.58 + t^8.6 + 3*t^8.61 - 2*t^8.68 + t^8.69 + t^8.76 + 4*t^8.78 + t^8.86 + 6*t^8.96 - t^4.34/y - t^6.49/y - t^6.67/y - t^6.85/y - t^7.03/y + t^7.3/y - t^7.38/y + t^7.48/y + (3*t^7.66)/y + (4*t^7.84)/y + (3*t^8.01)/y + (4*t^8.19)/y + t^8.29/y + t^8.37/y + t^8.47/y + (2*t^8.55)/y + (2*t^8.64)/y - t^8.65/y + t^8.72/y + t^8.82/y - t^4.34*y - t^6.49*y - t^6.67*y - t^6.85*y - t^7.03*y + t^7.3*y - t^7.38*y + t^7.48*y + 3*t^7.66*y + 4*t^7.84*y + 3*t^8.01*y + 4*t^8.19*y + t^8.29*y + t^8.37*y + t^8.47*y + 2*t^8.55*y + 2*t^8.64*y - t^8.65*y + t^8.72*y + t^8.82*y | (g1*t^2.15)/g2^5 + (g1^2*t^2.33)/g2^16 + (2*g2^7*t^2.51)/g1 + t^2.68/g2^4 + (g2^8*t^3.04)/g1^2 + (g2^15*t^3.14)/g1 + (g1^2*t^3.67)/g2^18 + (g2^28*t^4.02)/g1^4 + g1*g2*t^4.13 + (2*g1^2*t^4.3)/g2^10 + (g1^3*t^4.48)/g2^21 + (g2^13*t^4.48)/g1 + (g1^4*t^4.66)/g2^32 + 2*g2^2*t^4.66 + (3*g1*t^4.84)/g2^9 + (g1^2*t^4.93)/g2^2 + (g1^2*t^5.01)/g2^20 + (3*g2^14*t^5.01)/g1^2 + (3*g2^3*t^5.19)/g1 + g2^10*t^5.29 + t^5.37/g2^8 + (g1*t^5.47)/g2 + (g2^15*t^5.55)/g1^3 + (2*g2^22*t^5.64)/g1^2 + (g2^4*t^5.72)/g1^2 + (g2^11*t^5.82)/g1 - 3*t^6. + (g1^4*t^6.)/g2^34 + (g2^16*t^6.08)/g1^4 + (g1*t^6.18)/g2^11 + (g2^23*t^6.18)/g1^3 + (g2^30*t^6.27)/g1^2 + (g1^2*t^6.28)/g2^4 + (g1^2*t^6.36)/g2^22 + (2*g1^3*t^6.45)/g2^15 - (g2*t^6.53)/g1 + (2*g2^35*t^6.53)/g1^5 + (2*g1^4*t^6.63)/g2^26 + g2^8*t^6.63 + (g2^24*t^6.71)/g1^4 + (g1^5*t^6.81)/g2^37 + (5*g1*t^6.81)/g2^3 - (g2^13*t^6.89)/g1^3 + (g1^6*t^6.99)/g2^48 + (2*g1^2*t^6.99)/g2^14 + (g2^20*t^6.99)/g1^2 + (g2^36*t^7.06)/g1^6 + (g1^3*t^7.09)/g2^7 + (3*g2^9*t^7.16)/g1 + (g2^43*t^7.16)/g1^5 + (2*g1^3*t^7.17)/g2^25 + (g1^4*t^7.26)/g2^18 + g2^16*t^7.26 + (2*g1^4*t^7.34)/g2^36 + (4*t^7.34)/g2^2 - (g2^32*t^7.34)/g1^4 + 3*g1*g2^5*t^7.44 + (3*g1*t^7.52)/g2^13 + (3*g2^21*t^7.52)/g1^3 + (g1^2*t^7.62)/g2^6 + (g2^28*t^7.62)/g1^2 + (g1^2*t^7.7)/g2^24 + (4*g2^10*t^7.7)/g1^2 + (g2^17*t^7.8)/g1 + (2*t^7.87)/(g1*g2) + g2^6*t^7.97 + (g1^4*t^7.98)/g2^28 + t^8.05/g2^12 + (g2^22*t^8.05)/g1^4 + (g2^56*t^8.05)/g1^8 + g1*g2^13*t^8.07 - (3*g1*t^8.15)/g2^5 + (3*g2^29*t^8.15)/g1^3 + (2*g2^11*t^8.23)/g1^3 + (g1^6*t^8.33)/g2^50 - (4*g1^2*t^8.33)/g2^16 + (2*g2^18*t^8.33)/g1^2 + (2*t^8.41)/g1^2 + (g1^3*t^8.43)/g2^9 + (g2^25*t^8.43)/g1 + (g2^41*t^8.5)/g1^5 + (g1^3*t^8.51)/g2^27 - (6*g2^7*t^8.51)/g1 + (g2^23*t^8.58)/g1^5 + g2^14*t^8.6 + (3*g1^4*t^8.61)/g2^20 - (3*t^8.68)/g2^4 + (g2^30*t^8.68)/g1^4 + (g1^4*t^8.69)/g2^38 + (g2^12*t^8.76)/g1^4 + (2*g1^5*t^8.78)/g2^31 + (2*g2^37*t^8.78)/g1^3 + (g2^19*t^8.86)/g1^3 + (2*g1^6*t^8.96)/g2^42 + (2*g1^2*t^8.96)/g2^8 + (2*g2^26*t^8.96)/g1^2 - t^4.34/(g2^2*y) - (g1*t^6.49)/(g2^7*y) - (g1^2*t^6.67)/(g2^18*y) - (g2^5*t^6.85)/(g1*y) - t^7.03/(g2^6*y) + (g1^2*t^7.3)/(g2^10*y) - (g2^6*t^7.38)/(g1^2*y) + (g1^3*t^7.48)/(g2^21*y) + (3*g2^2*t^7.66)/y + (4*g1*t^7.84)/(g2^9*y) + (g1^2*t^8.01)/(g2^20*y) + (2*g2^14*t^8.01)/(g1^2*y) + (4*g2^3*t^8.19)/(g1*y) + (g2^10*t^8.29)/y + t^8.37/(g2^8*y) + (g1*t^8.47)/(g2*y) + (2*g2^15*t^8.55)/(g1^3*y) + (2*g2^22*t^8.64)/(g1^2*y) - (g1^2*t^8.65)/(g2^12*y) + (g2^4*t^8.72)/(g1^2*y) + (g2^11*t^8.82)/(g1*y) - (t^4.34*y)/g2^2 - (g1*t^6.49*y)/g2^7 - (g1^2*t^6.67*y)/g2^18 - (g2^5*t^6.85*y)/g1 - (t^7.03*y)/g2^6 + (g1^2*t^7.3*y)/g2^10 - (g2^6*t^7.38*y)/g1^2 + (g1^3*t^7.48*y)/g2^21 + 3*g2^2*t^7.66*y + (4*g1*t^7.84*y)/g2^9 + (g1^2*t^8.01*y)/g2^20 + (2*g2^14*t^8.01*y)/g1^2 + (4*g2^3*t^8.19*y)/g1 + g2^10*t^8.29*y + (t^8.37*y)/g2^8 + (g1*t^8.47*y)/g2 + (2*g2^15*t^8.55*y)/g1^3 + (2*g2^22*t^8.64*y)/g1^2 - (g1^2*t^8.65*y)/g2^12 + (g2^4*t^8.72*y)/g1^2 + (g2^11*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 54920 | $M_1q_1q_2$ + $ 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_1q_2$ + $ M_1M_6$ + $ M_2M_3$ + $ M_5X_1$ | 0.6635 | 0.8258 | 0.8035 | [X:[1.3333], M:[1.1317, 1.1317, 0.8683, 0.7285, 0.6667, 0.8683], q:[0.3643, 0.504], qb:[0.504, 0.7675], phi:[0.4651]] | t^2.19 + 2*t^2.6 + t^2.79 + t^3.02 + t^3.4 + t^3.58 + t^3.81 + 2*t^4. + t^4.37 + 3*t^4.42 + 2*t^4.79 + t^4.98 + 4*t^5.21 + 2*t^5.4 + 2*t^5.63 + t^5.77 + t^5.81 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 52187 | $M_1q_1q_2$ + $ 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_1q_2$ + $ M_1M_6$ + $ M_3q_2\tilde{q}_1$ | 0.6895 | 0.8678 | 0.7945 | [X:[], M:[1.1471, 0.9853, 0.8529, 0.7206, 0.7206, 0.8529], q:[0.3603, 0.4927], qb:[0.6544, 0.7868], phi:[0.4265]] | 2*t^2.16 + 3*t^2.56 + t^2.96 + 2*t^3.44 + t^4.24 + 5*t^4.32 + 7*t^4.72 + 7*t^5.12 + t^5.21 + 2*t^5.51 + 3*t^5.6 + t^5.91 + 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 56003 | $M_1q_1q_2$ + $ 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_1q_2$ + $ M_1M_6$ + $ M_4M_7$ | 0.6783 | 0.8471 | 0.8007 | [X:[], M:[1.1741, 1.0044, 0.8259, 0.799, 0.7232, 0.8259, 1.201], q:[0.3995, 0.4264], qb:[0.5961, 0.7746], phi:[0.4509]] | t^2.17 + 2*t^2.48 + t^2.71 + t^3.01 + t^3.07 + t^3.6 + t^3.75 + t^3.91 + t^4.11 + 2*t^4.34 + t^4.42 + 2*t^4.65 + t^4.87 + t^4.93 + 3*t^4.96 + 3*t^5.18 + t^5.24 + t^5.49 + 2*t^5.55 + t^5.72 + 2*t^5.77 - 3*t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | 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_1q_2$ | 0.6816 | 0.8525 | 0.7995 | [X:[], M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.14 + t^2.3 + t^2.52 + t^2.68 + t^3.07 + t^3.16 + t^3.48 + t^3.64 + t^4.09 + t^4.11 + 2*t^4.27 + t^4.43 + t^4.5 + t^4.59 + t^4.66 + 2*t^4.82 + t^4.91 + t^4.98 + t^5.05 + 2*t^5.21 + t^5.29 + t^5.36 + t^5.45 + t^5.61 + t^5.68 + t^5.75 + t^5.77 + t^5.84 + t^5.93 - 2*t^6. - t^4.34/y - t^4.34*y | detail |