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 |
|---|---|---|---|---|---|---|---|---|---|
| 1783 | 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_5q_1\tilde{q}_1$ | 0.617 | 0.7971 | 0.7742 | [X:[], M:[0.9586, 1.1242, 0.9586, 0.8758, 0.8061], q:[0.7396, 0.3018], qb:[0.4542, 0.4215], phi:[0.5207]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-13, -1]], 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 |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_4$, $ M_3M_4$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.17 + t^2.27 + t^2.42 + t^2.63 + 2*t^2.88 + t^3.37 + t^3.48 + t^3.73 + t^3.83 + t^4.09 + t^4.19 + t^4.29 + t^4.34 + t^4.44 + t^4.54 + t^4.59 + t^4.69 + t^4.8 + t^4.84 + t^4.9 + 3*t^5.05 + 2*t^5.14 + t^5.25 + 2*t^5.29 + 2*t^5.5 + t^5.65 + 3*t^5.75 + t^5.79 + t^5.9 - t^6. + t^6.11 + t^6.15 + t^6.25 + t^6.26 + 3*t^6.36 + t^6.46 + 2*t^6.51 + t^6.56 + 2*t^6.61 + 2*t^6.71 + t^6.72 + t^6.75 + t^6.76 + t^6.8 + t^6.82 + t^6.91 - t^6.95 + 3*t^6.97 + t^7.01 + 2*t^7.07 + t^7.1 + 2*t^7.16 + 3*t^7.22 + t^7.26 + t^7.31 + t^7.41 + t^7.42 + 3*t^7.46 + t^7.52 + t^7.57 + 3*t^7.67 + 2*t^7.71 + 2*t^7.77 - t^7.81 + 2*t^7.82 + t^7.88 + 4*t^7.92 + 2*t^8.02 + t^8.07 + t^8.12 + 2*t^8.13 + t^8.18 + t^8.21 - 3*t^8.27 + 2*t^8.28 + t^8.32 + 4*t^8.38 - 3*t^8.42 + t^8.43 + t^8.48 - 2*t^8.52 + 3*t^8.53 + t^8.57 + t^8.58 + 2*t^8.63 + t^8.67 + 2*t^8.68 + t^8.74 + 2*t^8.78 + t^8.82 - 5*t^8.88 + t^8.89 + 2*t^8.93 + 3*t^8.99 - t^4.56/y - t^6.98/y + t^7.59/y + (2*t^7.69)/y + t^7.8/y + t^7.9/y + (3*t^8.05)/y + (3*t^8.14)/y + (2*t^8.29)/y + (2*t^8.5)/y + t^8.54/y + t^8.64/y + t^8.65/y + (2*t^8.75)/y + t^8.79/y + (2*t^8.9)/y - t^4.56*y - t^6.98*y + t^7.59*y + 2*t^7.69*y + t^7.8*y + t^7.9*y + 3*t^8.05*y + 3*t^8.14*y + 2*t^8.29*y + 2*t^8.5*y + t^8.54*y + t^8.64*y + t^8.65*y + 2*t^8.75*y + t^8.79*y + 2*t^8.9*y | (g2^7*t^2.17)/g1^5 + (g1^7*t^2.27)/g2^5 + t^2.42/(g1^13*g2) + g1^12*g2^12*t^2.63 + 2*g1^4*g2^4*t^2.88 + t^3.37/(g1^12*g2^12) + g1*g2^13*t^3.48 + (g2^5*t^3.73)/g1^7 + (g1^5*t^3.83)/g2^7 + (g2^22*t^4.09)/g1^2 + g1^10*g2^10*t^4.19 + (g1^22*t^4.29)/g2^2 + (g2^14*t^4.34)/g1^10 + g1^2*g2^2*t^4.44 + (g1^14*t^4.54)/g2^10 + (g2^6*t^4.59)/g1^18 + t^4.69/(g1^6*g2^6) + g1^7*g2^19*t^4.8 + t^4.84/(g1^26*g2^2) + g1^19*g2^7*t^4.9 + (3*g2^11*t^5.05)/g1 + (2*g1^11*t^5.14)/g2 + g1^24*g2^24*t^5.25 + (2*g2^3*t^5.29)/g1^9 + 2*g1^16*g2^16*t^5.5 + (g2^20*t^5.65)/g1^4 + 3*g1^8*g2^8*t^5.75 + t^5.79/(g1^25*g2^13) + (g2^12*t^5.9)/g1^12 - t^6. + g1^13*g2^25*t^6.11 + (g2^4*t^6.15)/g1^20 + t^6.25/(g1^8*g2^8) + (g2^29*t^6.26)/g1^7 + 3*g1^5*g2^17*t^6.36 + g1^17*g2^5*t^6.46 + (2*g2^21*t^6.51)/g1^15 + (g1^29*t^6.56)/g2^7 + (2*g2^9*t^6.61)/g1^3 + (2*g1^9*t^6.71)/g2^3 + g1^10*g2^34*t^6.72 + t^6.75/(g1^24*g2^24) + (g2^13*t^6.76)/g1^23 + (g1^21*t^6.8)/g2^15 + g1^22*g2^22*t^6.82 + g1^34*g2^10*t^6.91 - (g1*t^6.95)/g2^11 + 3*g1^2*g2^26*t^6.97 + (g2^5*t^7.01)/g1^31 + 2*g1^14*g2^14*t^7.07 + t^7.1/(g1^19*g2^7) + 2*g1^26*g2^2*t^7.16 + (3*g2^18*t^7.22)/g1^6 + t^7.26/(g1^39*g2^3) + g1^6*g2^6*t^7.31 + (g1^18*t^7.41)/g2^6 + g1^19*g2^31*t^7.42 + (3*g2^10*t^7.46)/g1^14 + g1^31*g2^19*t^7.52 + (g2^35*t^7.57)/g1 + 3*g1^11*g2^23*t^7.67 + (2*g2^2*t^7.71)/g1^22 + 2*g1^23*g2^11*t^7.77 - t^7.81/(g1^10*g2^10) + (2*g2^27*t^7.82)/g1^9 + g1^36*g2^36*t^7.88 + 4*g1^3*g2^15*t^7.92 + 2*g1^15*g2^3*t^8.02 + (g2^19*t^8.07)/g1^17 + (g1^27*t^8.12)/g2^9 + 2*g1^28*g2^28*t^8.13 + (g2^44*t^8.18)/g1^4 + t^8.21/(g1^38*g2^14) - (3*g1^7*t^8.27)/g2^5 + 2*g1^8*g2^32*t^8.28 + (g2^11*t^8.32)/g1^25 + 4*g1^20*g2^20*t^8.38 - (3*t^8.42)/(g1^13*g2) + (g2^36*t^8.43)/g1^12 + g1^32*g2^8*t^8.48 - (2*t^8.52)/(g1*g2^13) + 3*g2^24*t^8.53 + (g2^3*t^8.57)/g1^33 + (g1^44*t^8.58)/g2^4 + 2*g1^12*g2^12*t^8.63 + t^8.67/(g1^21*g2^9) + (2*g2^28*t^8.68)/g1^20 + g1^25*g2^37*t^8.74 + (2*g2^16*t^8.78)/g1^8 + (g1^36*t^8.82)/g2^12 - 5*g1^4*g2^4*t^8.88 + g1^5*g2^41*t^8.89 + (2*g2^20*t^8.93)/g1^28 + 3*g1^17*g2^29*t^8.99 - t^4.56/(g1^2*g2^2*y) - t^6.98/(g1^15*g2^3*y) + (g2^6*t^7.59)/(g1^18*y) + (2*t^7.69)/(g1^6*g2^6*y) + (g1^7*g2^19*t^7.8)/y + (g1^19*g2^7*t^7.9)/y + (3*g2^11*t^8.05)/(g1*y) + (3*g1^11*t^8.14)/(g2*y) + (2*g2^3*t^8.29)/(g1^9*y) + (2*g1^16*g2^16*t^8.5)/y + t^8.54/(g1^17*g2^5*y) + t^8.64/(g1^5*g2^17*y) + (g2^20*t^8.65)/(g1^4*y) + (2*g1^8*g2^8*t^8.75)/y + t^8.79/(g1^25*g2^13*y) + (2*g2^12*t^8.9)/(g1^12*y) - (t^4.56*y)/(g1^2*g2^2) - (t^6.98*y)/(g1^15*g2^3) + (g2^6*t^7.59*y)/g1^18 + (2*t^7.69*y)/(g1^6*g2^6) + g1^7*g2^19*t^7.8*y + g1^19*g2^7*t^7.9*y + (3*g2^11*t^8.05*y)/g1 + (3*g1^11*t^8.14*y)/g2 + (2*g2^3*t^8.29*y)/g1^9 + 2*g1^16*g2^16*t^8.5*y + (t^8.54*y)/(g1^17*g2^5) + (t^8.64*y)/(g1^5*g2^17) + (g2^20*t^8.65*y)/g1^4 + 2*g1^8*g2^8*t^8.75*y + (t^8.79*y)/(g1^25*g2^13) + (2*g2^12*t^8.9*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2791 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6157 | 0.7974 | 0.7721 | [X:[], M:[0.9456, 1.1631, 0.9456, 0.8369, 0.8369], q:[0.7364, 0.318], qb:[0.4267, 0.4102], phi:[0.5272]] | t^2.18 + t^2.23 + 2*t^2.51 + 2*t^2.84 + t^3.44 + t^3.49 + t^3.77 + t^3.82 + t^4.04 + t^4.09 + t^4.14 + t^4.37 + t^4.42 + t^4.47 + 2*t^4.7 + 2*t^4.74 + 5*t^5.02 + 2*t^5.07 + 4*t^5.35 + t^5.62 + 3*t^5.67 + 2*t^5.95 - t^4.58/y - t^4.58*y | detail | |
| 2792 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6321 | 0.8217 | 0.7693 | [X:[], M:[0.967, 1.099, 0.967, 0.901, 0.8077, 0.8077], q:[0.7418, 0.2912], qb:[0.4505, 0.4505], phi:[0.5165]] | 2*t^2.23 + 2*t^2.42 + t^2.7 + 2*t^2.9 + t^3.3 + 2*t^3.77 + 3*t^4.25 + 3*t^4.45 + 4*t^4.65 + 3*t^4.85 + 2*t^4.93 + 6*t^5.13 + 4*t^5.32 + t^5.41 + 2*t^5.6 + 2*t^5.72 + 2*t^5.8 - t^6. - t^4.55/y - t^4.55*y | detail | |
| 2793 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6121 | 0.787 | 0.7778 | [X:[], M:[0.9726, 1.0821, 0.9726, 0.9179, 0.8253], q:[0.7432, 0.2842], qb:[0.4316, 0.4863], phi:[0.5137]] | t^2.15 + t^2.31 + t^2.48 + t^2.75 + 2*t^2.92 + t^3.25 + 2*t^3.69 + t^3.85 + t^4.13 + 2*t^4.29 + 2*t^4.46 + 2*t^4.62 + t^4.79 + t^4.9 + t^4.95 + 3*t^5.07 + 3*t^5.23 + 2*t^5.39 + t^5.51 + 2*t^5.67 + t^5.72 + 3*t^5.84 - t^4.54/y - t^4.54*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 |
|---|---|---|---|---|---|---|---|---|---|
| 345 | 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$ | 0.6019 | 0.7721 | 0.7795 | [X:[], M:[0.9502, 1.1494, 0.9502, 0.8506], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + 2*t^3.79 + 3*t^4.13 + 3*t^4.43 + 2*t^4.76 + 4*t^5.06 + t^5.1 + 2*t^5.4 + 6*t^5.7 - t^6. - t^4.57/y - t^4.57*y | detail |