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 |
|---|---|---|---|---|---|---|---|---|---|
| 1887 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.636 | 0.8314 | 0.765 | [X:[], M:[0.9582, 1.1254, 0.9582, 0.8746, 0.7463, 0.8164], q:[0.7395, 0.3023], qb:[0.4305, 0.4441], phi:[0.5209]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [-1, -13]], 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 |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_6$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ M_6\phi_1q_2^2$ | $M_4\phi_1q_2^2$ | -2 | t^2.2 + 2*t^2.24 + t^2.45 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.51 + t^3.8 + t^4.15 + t^4.19 + t^4.23 + t^4.4 + 2*t^4.44 + 3*t^4.48 + t^4.65 + 2*t^4.69 + t^4.82 + 2*t^4.86 + t^4.9 + 3*t^5.07 + 4*t^5.11 + t^5.25 + 2*t^5.32 + 2*t^5.5 + t^5.62 + t^5.71 + 4*t^5.75 + t^5.83 - 2*t^6. + t^6.04 + t^6.13 + t^6.25 + t^6.34 + 3*t^6.38 + 2*t^6.43 + 2*t^6.47 + 2*t^6.59 + t^6.64 + 4*t^6.68 + 4*t^6.72 + t^6.75 + t^6.77 + t^6.81 + 2*t^6.85 + t^6.89 + t^6.93 + 3*t^7.02 + 3*t^7.06 + 5*t^7.1 + t^7.14 + 2*t^7.27 + 4*t^7.31 + 6*t^7.35 + t^7.45 + 2*t^7.49 + 2*t^7.52 + t^7.56 + t^7.66 + 3*t^7.7 + 4*t^7.74 + 2*t^7.77 - t^7.81 + t^7.85 + t^7.87 + t^7.91 + 4*t^7.95 + 5*t^7.99 + t^8.03 + t^8.06 + 2*t^8.12 - t^8.2 - 6*t^8.24 + t^8.27 + t^8.28 + t^8.29 + 2*t^8.33 + 5*t^8.37 + t^8.41 - 3*t^8.45 - t^8.49 + t^8.54 + 3*t^8.58 + 4*t^8.62 + 2*t^8.66 + t^8.7 + 3*t^8.71 + t^8.76 + 2*t^8.79 + t^8.83 - 6*t^8.87 + 4*t^8.92 + 5*t^8.96 + t^8.97 + t^8.99 - t^4.56/y - t^6.8/y - t^7.01/y + t^7.44/y + t^7.48/y + t^7.65/y + (3*t^7.69)/y + t^7.82/y + (2*t^7.86)/y + (3*t^8.07)/y + (5*t^8.11)/y + (3*t^8.32)/y + (2*t^8.5)/y + t^8.57/y + (2*t^8.62)/y + t^8.71/y + (3*t^8.75)/y + t^8.83/y + t^8.96/y - t^4.56*y - t^6.8*y - t^7.01*y + t^7.44*y + t^7.48*y + t^7.65*y + 3*t^7.69*y + t^7.82*y + 2*t^7.86*y + 3*t^8.07*y + 5*t^8.11*y + 3*t^8.32*y + 2*t^8.5*y + t^8.57*y + 2*t^8.62*y + t^8.71*y + 3*t^8.75*y + t^8.83*y + t^8.96*y | (g1^7*t^2.2)/g2^5 + (2*g2^7*t^2.24)/g1^5 + t^2.45/(g1*g2^13) + g1^12*g2^12*t^2.62 + 2*g1^4*g2^4*t^2.87 + t^3.38/(g1^12*g2^12) + g1^13*g2*t^3.51 + (g2^5*t^3.8)/g1^7 + (g1^22*t^4.15)/g2^2 + g1^10*g2^10*t^4.19 + (g2^22*t^4.23)/g1^2 + (g1^14*t^4.4)/g2^10 + 2*g1^2*g2^2*t^4.44 + (3*g2^14*t^4.48)/g1^10 + (g1^6*t^4.65)/g2^18 + (2*t^4.69)/(g1^6*g2^6) + g1^19*g2^7*t^4.82 + 2*g1^7*g2^19*t^4.86 + t^4.9/(g1^2*g2^26) + (3*g1^11*t^5.07)/g2 + (4*g2^11*t^5.11)/g1 + g1^24*g2^24*t^5.25 + (2*g1^3*t^5.32)/g2^9 + 2*g1^16*g2^16*t^5.5 + t^5.62/(g1^17*g2^5) + (g1^20*t^5.71)/g2^4 + 4*g1^8*g2^8*t^5.75 + t^5.83/(g1^13*g2^25) - 2*t^6. + (g2^12*t^6.04)/g1^12 + g1^25*g2^13*t^6.13 + t^6.25/(g1^8*g2^8) + (g1^29*t^6.34)/g2^7 + 3*g1^17*g2^5*t^6.38 + 2*g1^5*g2^17*t^6.43 + (2*g2^29*t^6.47)/g1^7 + (2*g1^21*t^6.59)/g2^15 + (g1^9*t^6.64)/g2^3 + (4*g2^9*t^6.68)/g1^3 + (4*g2^21*t^6.72)/g1^15 + t^6.75/(g1^24*g2^24) + g1^34*g2^10*t^6.77 + g1^22*g2^22*t^6.81 + (g1^13*t^6.85)/g2^23 + g1^10*g2^34*t^6.85 + (g1*t^6.89)/g2^11 + (g2*t^6.93)/g1^11 + 3*g1^26*g2^2*t^7.02 + 3*g1^14*g2^14*t^7.06 + (g1^5*t^7.1)/g2^31 + 4*g1^2*g2^26*t^7.1 + t^7.14/(g1^7*g2^19) + (2*g1^18*t^7.27)/g2^6 + 4*g1^6*g2^6*t^7.31 + t^7.35/(g1^3*g2^39) + (5*g2^18*t^7.35)/g1^6 + g1^31*g2^19*t^7.45 + 2*g1^19*g2^31*t^7.49 + (2*g1^10*t^7.52)/g2^14 + t^7.56/(g1^2*g2^2) + (g1^35*t^7.66)/g2 + 3*g1^23*g2^11*t^7.7 + 4*g1^11*g2^23*t^7.74 + (2*g1^2*t^7.77)/g2^22 - t^7.81/(g1^10*g2^10) + (g2^2*t^7.85)/g1^22 + g1^36*g2^36*t^7.87 + (g1^27*t^7.91)/g2^9 + 4*g1^15*g2^3*t^7.95 + 5*g1^3*g2^15*t^7.99 + (g2^27*t^8.03)/g1^9 + t^8.06/(g1^18*g2^18) + 2*g1^28*g2^28*t^8.12 - (g1^7*t^8.2)/g2^5 - (6*g2^7*t^8.24)/g1^5 + t^8.27/(g1^14*g2^38) + (g2^19*t^8.28)/g1^17 + (g1^44*t^8.29)/g2^4 + 2*g1^32*g2^8*t^8.33 + 5*g1^20*g2^20*t^8.37 + g1^8*g2^32*t^8.41 - (4*t^8.45)/(g1*g2^13) + (g2^44*t^8.45)/g1^4 - t^8.49/(g1^13*g2) + (g1^36*t^8.54)/g2^12 + 3*g1^24*t^8.58 + 4*g1^12*g2^12*t^8.62 + 2*g2^24*t^8.66 + t^8.7/(g1^9*g2^21) + (3*g2^36*t^8.71)/g1^12 + g1^37*g2^25*t^8.76 + (2*g1^28*t^8.79)/g2^20 + (g1^16*t^8.83)/g2^8 - 6*g1^4*g2^4*t^8.87 + (4*g2^16*t^8.92)/g1^8 + (5*g2^28*t^8.96)/g1^20 + g1^41*g2^5*t^8.97 + t^8.99/(g1^29*g2^17) - t^4.56/(g1^2*g2^2*y) - (g2^5*t^6.8)/(g1^7*y) - t^7.01/(g1^3*g2^15*y) + (g1^2*g2^2*t^7.44)/y + (g2^14*t^7.48)/(g1^10*y) + (g1^6*t^7.65)/(g2^18*y) + (3*t^7.69)/(g1^6*g2^6*y) + (g1^19*g2^7*t^7.82)/y + (2*g1^7*g2^19*t^7.86)/y + (3*g1^11*t^8.07)/(g2*y) + (5*g2^11*t^8.11)/(g1*y) + (3*g1^3*t^8.32)/(g2^9*y) + (2*g1^16*g2^16*t^8.5)/y + t^8.57/(g1^5*g2^17*y) + (2*t^8.62)/(g1^17*g2^5*y) + (g1^20*t^8.71)/(g2^4*y) + (3*g1^8*g2^8*t^8.75)/y + t^8.83/(g1^13*g2^25*y) + (g1^12*t^8.96)/(g2^12*y) - (t^4.56*y)/(g1^2*g2^2) - (g2^5*t^6.8*y)/g1^7 - (t^7.01*y)/(g1^3*g2^15) + g1^2*g2^2*t^7.44*y + (g2^14*t^7.48*y)/g1^10 + (g1^6*t^7.65*y)/g2^18 + (3*t^7.69*y)/(g1^6*g2^6) + g1^19*g2^7*t^7.82*y + 2*g1^7*g2^19*t^7.86*y + (3*g1^11*t^8.07*y)/g2 + (5*g2^11*t^8.11*y)/g1 + (3*g1^3*t^8.32*y)/g2^9 + 2*g1^16*g2^16*t^8.5*y + (t^8.57*y)/(g1^5*g2^17) + (2*t^8.62*y)/(g1^17*g2^5) + (g1^20*t^8.71*y)/g2^4 + 3*g1^8*g2^8*t^8.75*y + (t^8.83*y)/(g1^13*g2^25) + (g1^12*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 2909 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6351 | 0.8325 | 0.7629 | [X:[], M:[0.9472, 1.1585, 0.9472, 0.8415, 0.7377, 0.8415], q:[0.7368, 0.316], qb:[0.4198, 0.4217], phi:[0.5264]] | 3*t^2.21 + 2*t^2.52 + 2*t^2.84 + t^3.47 + t^3.48 + t^3.79 + 2*t^4.1 + t^4.11 + 3*t^4.42 + 3*t^4.43 + 2*t^4.73 + 4*t^4.74 + 9*t^5.05 + 4*t^5.37 + 5*t^5.68 + t^5.69 + t^5.99 - t^6. - t^4.58/y - t^4.58*y | detail | |
| 2910 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6516 | 0.8578 | 0.7596 | [X:[], M:[0.9665, 1.1006, 0.9665, 0.8994, 0.7338, 0.8165, 0.8009], q:[0.7416, 0.2919], qb:[0.4575, 0.4419], phi:[0.5168]] | 2*t^2.2 + t^2.25 + t^2.4 + t^2.45 + t^2.7 + 2*t^2.9 + t^3.3 + t^3.75 + t^4.2 + t^4.25 + t^4.3 + 3*t^4.4 + 2*t^4.45 + t^4.5 + 2*t^4.6 + 3*t^4.65 + t^4.7 + t^4.81 + t^4.85 + 3*t^4.9 + t^4.95 + 5*t^5.1 + 3*t^5.15 + 2*t^5.3 + 2*t^5.35 + t^5.4 + t^5.5 + 2*t^5.6 + t^5.7 + t^5.75 + 2*t^5.8 + t^5.95 - 2*t^6. - t^4.55/y - t^4.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 545 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.8089 | 0.7684 | [X:[], M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]] | 2*t^2.19 + t^2.24 + t^2.55 + 2*t^2.85 + t^3.45 + t^3.46 + t^3.51 + t^3.76 + t^4.07 + t^4.12 + t^4.17 + 3*t^4.38 + 2*t^4.42 + t^4.47 + 2*t^4.73 + t^4.78 + 4*t^5.04 + 3*t^5.09 + 2*t^5.4 + t^5.64 + 2*t^5.65 + 5*t^5.7 + t^5.75 + t^5.95 - 2*t^6. - t^4.58/y - t^4.58*y | detail |