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 |
|---|---|---|---|---|---|---|---|---|---|
| 1074 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7264 | 0.927 | 0.7837 | [X:[], M:[0.9825, 1.1181, 0.986, 0.6772, 0.7813, 0.7778, 0.6737], q:[0.7795, 0.4427], qb:[0.5748, 0.4392], phi:[0.4409]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-1, -1], [3, 1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ M_4M_7$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_6M_7$, $ M_4M_6$, $ M_5M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_7\phi_1^2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_1M_4$, $ M_3M_7$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_1M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_3M_5$, $ M_2M_7$, $ M_2M_4$, $ M_2M_6$, $ M_2M_5$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_7\phi_1\tilde{q}_2^2$ | . | -2 | t^2.02 + t^2.03 + t^2.33 + t^2.34 + t^2.65 + t^2.95 + t^2.96 + t^3.35 + t^3.96 + t^4.04 + t^4.05 + 2*t^4.06 + t^4.35 + 3*t^4.36 + 2*t^4.38 + 2*t^4.67 + 2*t^4.68 + t^4.69 + t^4.77 + t^4.97 + 3*t^4.98 + 2*t^4.99 + t^5.28 + 3*t^5.29 + t^5.3 + t^5.38 + t^5.39 + t^5.69 + t^5.7 + t^5.9 + t^5.91 + t^5.92 + t^5.98 - 2*t^6. - t^6.01 + t^6.06 + t^6.07 + 2*t^6.08 + 2*t^6.09 + t^6.29 + t^6.3 + t^6.38 + 3*t^6.39 + 4*t^6.4 + 2*t^6.41 + t^6.6 - t^6.61 + 2*t^6.69 + 4*t^6.7 + 5*t^6.71 + 2*t^6.72 + t^6.79 + t^6.8 + t^6.91 - t^6.93 + t^6.99 + 4*t^7. + 5*t^7.01 + 3*t^7.02 + t^7.03 + t^7.11 + t^7.12 + t^7.3 + 5*t^7.31 + 4*t^7.32 + t^7.33 + t^7.4 + t^7.41 + 2*t^7.42 + t^7.61 + 2*t^7.62 + 2*t^7.64 + t^7.65 + t^7.71 + 2*t^7.72 + t^7.73 + 2*t^7.92 + 2*t^7.93 + 2*t^7.94 + t^7.95 + t^8. - t^8.02 - 4*t^8.03 - t^8.04 + t^8.08 + t^8.1 + 2*t^8.11 + 2*t^8.12 + 3*t^8.13 + t^8.23 + 2*t^8.24 + 2*t^8.25 + t^8.26 + t^8.31 + 2*t^8.32 - 3*t^8.33 - 5*t^8.34 - t^8.35 + t^8.4 + 3*t^8.41 + 4*t^8.42 + 4*t^8.43 + 2*t^8.44 + 2*t^8.62 - 2*t^8.65 - t^8.66 + 2*t^8.71 + 4*t^8.72 + 8*t^8.73 + 4*t^8.74 + 2*t^8.75 + t^8.81 + t^8.82 + 2*t^8.83 + t^8.84 + t^8.85 + t^8.86 + t^8.87 + t^8.93 + t^8.94 - 5*t^8.95 - 6*t^8.96 - t^8.97 - t^4.32/y - t^6.34/y - t^6.35/y - t^6.66/y - t^6.67/y + t^7.05/y - t^7.27/y - t^7.28/y + t^7.35/y + (3*t^7.36)/y + (2*t^7.38)/y + t^7.67/y + (2*t^7.68)/y + t^7.97/y + (4*t^7.98)/y + (3*t^7.99)/y + t^8.28/y + (3*t^8.29)/y + (2*t^8.3)/y - t^8.37/y + t^8.59/y + t^8.6/y - t^8.68/y - t^8.69/y + t^8.91/y + t^8.98/y - t^4.32*y - t^6.34*y - t^6.35*y - t^6.66*y - t^6.67*y + t^7.05*y - t^7.27*y - t^7.28*y + t^7.35*y + 3*t^7.36*y + 2*t^7.38*y + t^7.67*y + 2*t^7.68*y + t^7.97*y + 4*t^7.98*y + 3*t^7.99*y + t^8.28*y + 3*t^8.29*y + 2*t^8.3*y - t^8.37*y + t^8.59*y + t^8.6*y - t^8.68*y - t^8.69*y + t^8.91*y + t^8.98*y | g1^10*g2^2*t^2.02 + g1^6*t^2.03 + g1^3*g2*t^2.33 + t^2.34/(g1*g2) + t^2.65/g1^4 + (g2*t^2.95)/g1^7 + t^2.96/(g1^11*g2) + g1^4*t^3.35 + (g2^2*t^3.96)/g1^2 + g1^20*g2^4*t^4.04 + g1^16*g2^2*t^4.05 + 2*g1^12*t^4.06 + g1^13*g2^3*t^4.35 + 3*g1^9*g2*t^4.36 + (2*g1^5*t^4.38)/g2 + 2*g1^6*g2^2*t^4.67 + 2*g1^2*t^4.68 + t^4.69/(g1^2*g2^2) + g1^20*t^4.77 + g1^3*g2^3*t^4.97 + (3*g2*t^4.98)/g1 + (2*t^4.99)/(g1^5*g2) + (g2^2*t^5.28)/g1^4 + (3*t^5.29)/g1^8 + t^5.3/(g1^12*g2^2) + g1^14*g2^2*t^5.38 + g1^10*t^5.39 + g1^7*g2*t^5.69 + (g1^3*t^5.7)/g2 + (g2^2*t^5.9)/g1^14 + t^5.91/g1^18 + t^5.92/(g1^22*g2^2) + g1^8*g2^4*t^5.98 - 2*t^6. - t^6.01/(g1^4*g2^2) + g1^30*g2^6*t^6.06 + g1^26*g2^4*t^6.07 + 2*g1^22*g2^2*t^6.08 + 2*g1^18*t^6.09 + g1*g2^3*t^6.29 + (g2*t^6.3)/g1^3 + g1^23*g2^5*t^6.38 + 3*g1^19*g2^3*t^6.39 + 4*g1^15*g2*t^6.4 + (2*g1^11*t^6.41)/g2 + (g2^2*t^6.6)/g1^6 - t^6.61/g1^10 + 2*g1^16*g2^4*t^6.69 + 4*g1^12*g2^2*t^6.7 + 5*g1^8*t^6.71 + (2*g1^4*t^6.72)/g2^2 + g1^30*g2^2*t^6.79 + g1^26*t^6.8 + (g2^3*t^6.91)/g1^9 - t^6.93/(g1^17*g2) + g1^13*g2^5*t^6.99 + 4*g1^9*g2^3*t^7. + 5*g1^5*g2*t^7.01 + (3*g1*t^7.02)/g2 + t^7.03/(g1^3*g2^3) + g1^23*g2*t^7.11 + (g1^19*t^7.12)/g2 + g1^6*g2^4*t^7.3 + 5*g1^2*g2^2*t^7.31 + (4*t^7.32)/g1^2 + t^7.33/(g1^6*g2^2) + g1^24*g2^4*t^7.4 + g1^20*g2^2*t^7.41 + 2*g1^16*t^7.42 + (g2^3*t^7.61)/g1 + (2*g2*t^7.62)/g1^5 + (2*t^7.64)/(g1^9*g2) + t^7.65/(g1^13*g2^3) + g1^17*g2^3*t^7.71 + 2*g1^13*g2*t^7.72 + (g1^9*t^7.73)/g2 + (2*g2^4*t^7.92)/g1^4 + (2*g2^2*t^7.93)/g1^8 + (2*t^7.94)/g1^12 + t^7.95/(g1^16*g2^2) + g1^18*g2^6*t^8. - g1^10*g2^2*t^8.02 - 4*g1^6*t^8.03 - (g1^2*t^8.04)/g2^2 + g1^40*g2^8*t^8.08 + g1^36*g2^6*t^8.1 + 2*g1^32*g2^4*t^8.11 + 2*g1^28*g2^2*t^8.12 + 3*g1^24*t^8.13 + (g2^3*t^8.23)/g1^11 + (2*g2*t^8.24)/g1^15 + (2*t^8.25)/(g1^19*g2) + t^8.26/(g1^23*g2^3) + g1^11*g2^5*t^8.31 + 2*g1^7*g2^3*t^8.32 - 3*g1^3*g2*t^8.33 - (5*t^8.34)/(g1*g2) - t^8.35/(g1^5*g2^3) + g1^33*g2^7*t^8.4 + 3*g1^29*g2^5*t^8.41 + 4*g1^25*g2^3*t^8.42 + 4*g1^21*g2*t^8.43 + (2*g1^17*t^8.44)/g2 + 2*g1^4*g2^4*t^8.62 - (2*t^8.65)/g1^4 - t^8.66/(g1^8*g2^2) + 2*g1^26*g2^6*t^8.71 + 4*g1^22*g2^4*t^8.72 + 8*g1^18*g2^2*t^8.73 + 4*g1^14*t^8.74 + (2*g1^10*t^8.75)/g2^2 + g1^40*g2^4*t^8.81 + g1^36*g2^2*t^8.82 + 2*g1^32*t^8.83 + (g2^3*t^8.84)/g1^21 + (g2*t^8.85)/g1^25 + t^8.86/(g1^29*g2) + t^8.87/(g1^33*g2^3) + g1*g2^5*t^8.93 + (g2^3*t^8.94)/g1^3 - (5*g2*t^8.95)/g1^7 - (6*t^8.96)/(g1^11*g2) - t^8.97/(g1^15*g2^3) - t^4.32/(g1^2*y) - (g1^8*g2^2*t^6.34)/y - (g1^4*t^6.35)/y - (g1*g2*t^6.66)/y - t^6.67/(g1^3*g2*y) + (g1^16*g2^2*t^7.05)/y - (g2*t^7.27)/(g1^9*y) - t^7.28/(g1^13*g2*y) + (g1^13*g2^3*t^7.35)/y + (3*g1^9*g2*t^7.36)/y + (2*g1^5*t^7.38)/(g2*y) + (g1^6*g2^2*t^7.67)/y + (2*g1^2*t^7.68)/y + (g1^3*g2^3*t^7.97)/y + (4*g2*t^7.98)/(g1*y) + (3*t^7.99)/(g1^5*g2*y) + (g2^2*t^8.28)/(g1^4*y) + (3*t^8.29)/(g1^8*y) + (2*t^8.3)/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.37)/y + (g2*t^8.59)/(g1^11*y) + t^8.6/(g1^15*g2*y) - (g1^11*g2^3*t^8.68)/y - (g1^7*g2*t^8.69)/y + t^8.91/(g1^18*y) + (g1^8*g2^4*t^8.98)/y - (t^4.32*y)/g1^2 - g1^8*g2^2*t^6.34*y - g1^4*t^6.35*y - g1*g2*t^6.66*y - (t^6.67*y)/(g1^3*g2) + g1^16*g2^2*t^7.05*y - (g2*t^7.27*y)/g1^9 - (t^7.28*y)/(g1^13*g2) + g1^13*g2^3*t^7.35*y + 3*g1^9*g2*t^7.36*y + (2*g1^5*t^7.38*y)/g2 + g1^6*g2^2*t^7.67*y + 2*g1^2*t^7.68*y + g1^3*g2^3*t^7.97*y + (4*g2*t^7.98*y)/g1 + (3*t^7.99*y)/(g1^5*g2) + (g2^2*t^8.28*y)/g1^4 + (3*t^8.29*y)/g1^8 + (2*t^8.3*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.37*y + (g2*t^8.59*y)/g1^11 + (t^8.6*y)/(g1^15*g2) - g1^11*g2^3*t^8.68*y - g1^7*g2*t^8.69*y + (t^8.91*y)/g1^18 + g1^8*g2^4*t^8.98*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1670 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7472 | 0.9679 | 0.772 | [X:[], M:[0.9858, 1.1174, 0.9858, 0.6761, 0.7794, 0.7794, 0.6761, 0.6761], q:[0.7794, 0.4413], qb:[0.5729, 0.4413], phi:[0.4413]] | 3*t^2.03 + 2*t^2.34 + t^2.65 + 2*t^2.96 + t^3.35 + 7*t^4.06 + 8*t^4.37 + 6*t^4.68 + t^4.76 + 8*t^4.99 + 5*t^5.3 + 3*t^5.38 + 2*t^5.69 + 3*t^5.91 - 4*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 667 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7056 | 0.8857 | 0.7967 | [X:[], M:[0.9833, 1.1185, 0.9833, 0.6778, 0.7796, 0.7796], q:[0.7796, 0.4407], qb:[0.576, 0.4407], phi:[0.4407]] | t^2.03 + 2*t^2.34 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.97 + 2*t^4.07 + 4*t^4.37 + 4*t^4.68 + t^4.78 + 4*t^4.98 + 5*t^5.29 + t^5.39 + 2*t^5.69 + 3*t^5.9 - 2*t^6. - t^4.32/y - t^4.32*y | detail |