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 |
|---|---|---|---|---|---|---|---|---|---|
| 55087 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7264 | 0.927 | 0.7837 | [X:[], M:[0.986, 0.9825, 1.1181, 0.6772, 0.7813, 0.6737, 0.7778], q:[0.5748, 0.4392], qb:[0.4427, 0.7795], phi:[0.4409]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [1, 3], [-2, 2], [-1, -1]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_6M_7$, $ M_5M_6$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_6\phi_1^2$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_5^2$, $ \phi_1q_1^2$, $ M_2M_6$, $ M_2M_4$, $ M_1M_6$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_2M_7$, $ M_2M_5$, $ M_1M_7$, $ \phi_1^4$, $ M_1M_5$, $ M_3M_6$, $ M_3M_4$, $ M_3M_7$, $ M_3M_5$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_6\phi_1q_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 | (g2^2*t^2.02)/g1^2 + g2^6*t^2.03 + t^2.33/(g1*g2) + g1*g2^3*t^2.34 + t^2.65/g2^4 + t^2.95/(g1*g2^11) + (g1*t^2.96)/g2^7 + g2^4*t^3.35 + t^3.96/(g1^2*g2^10) + (g2^4*t^4.04)/g1^4 + (g2^8*t^4.05)/g1^2 + 2*g2^12*t^4.06 + (g2*t^4.35)/g1^3 + (3*g2^5*t^4.36)/g1 + 2*g1*g2^9*t^4.38 + (2*t^4.67)/(g1^2*g2^2) + 2*g2^2*t^4.68 + g1^2*g2^6*t^4.69 + g2^20*t^4.77 + t^4.97/(g1^3*g2^9) + (3*t^4.98)/(g1*g2^5) + (2*g1*t^4.99)/g2 + t^5.28/(g1^2*g2^12) + (3*t^5.29)/g2^8 + (g1^2*t^5.3)/g2^4 + (g2^6*t^5.38)/g1^2 + g2^10*t^5.39 + (g2^3*t^5.69)/g1 + g1*g2^7*t^5.7 + t^5.9/(g1^2*g2^22) + t^5.91/g2^18 + (g1^2*t^5.92)/g2^14 + t^5.98/(g1^4*g2^8) - 2*t^6. - g1^2*g2^4*t^6.01 + (g2^6*t^6.06)/g1^6 + (g2^10*t^6.07)/g1^4 + (2*g2^14*t^6.08)/g1^2 + 2*g2^18*t^6.09 + t^6.29/(g1^3*g2^11) + t^6.3/(g1*g2^7) + (g2^3*t^6.38)/g1^5 + (3*g2^7*t^6.39)/g1^3 + (4*g2^11*t^6.4)/g1 + 2*g1*g2^15*t^6.41 + t^6.6/(g1^2*g2^14) - t^6.61/g2^10 + (2*t^6.69)/g1^4 + (4*g2^4*t^6.7)/g1^2 + 5*g2^8*t^6.71 + 2*g1^2*g2^12*t^6.72 + (g2^22*t^6.79)/g1^2 + g2^26*t^6.8 + t^6.91/(g1^3*g2^21) - (g1*t^6.93)/g2^13 + t^6.99/(g1^5*g2^7) + (4*t^7.)/(g1^3*g2^3) + (5*g2*t^7.01)/g1 + 3*g1*g2^5*t^7.02 + g1^3*g2^9*t^7.03 + (g2^19*t^7.11)/g1 + g1*g2^23*t^7.12 + t^7.3/(g1^4*g2^10) + (5*t^7.31)/(g1^2*g2^6) + (4*t^7.32)/g2^2 + g1^2*g2^2*t^7.33 + (g2^8*t^7.4)/g1^4 + (g2^12*t^7.41)/g1^2 + 2*g2^16*t^7.42 + t^7.61/(g1^3*g2^13) + (2*t^7.62)/(g1*g2^9) + (2*g1*t^7.64)/g2^5 + (g1^3*t^7.65)/g2 + (g2^5*t^7.71)/g1^3 + (2*g2^9*t^7.72)/g1 + g1*g2^13*t^7.73 + (2*t^7.92)/(g1^4*g2^20) + (2*t^7.93)/(g1^2*g2^16) + (2*t^7.94)/g2^12 + (g1^2*t^7.95)/g2^8 + t^8./(g1^6*g2^6) - (g2^2*t^8.02)/g1^2 - 4*g2^6*t^8.03 - g1^2*g2^10*t^8.04 + (g2^8*t^8.08)/g1^8 + (g2^12*t^8.1)/g1^6 + (2*g2^16*t^8.11)/g1^4 + (2*g2^20*t^8.12)/g1^2 + 3*g2^24*t^8.13 + t^8.23/(g1^3*g2^23) + (2*t^8.24)/(g1*g2^19) + (2*g1*t^8.25)/g2^15 + (g1^3*t^8.26)/g2^11 + t^8.31/(g1^5*g2^9) + (2*t^8.32)/(g1^3*g2^5) - (3*t^8.33)/(g1*g2) - 5*g1*g2^3*t^8.34 - g1^3*g2^7*t^8.35 + (g2^5*t^8.4)/g1^7 + (3*g2^9*t^8.41)/g1^5 + (4*g2^13*t^8.42)/g1^3 + (4*g2^17*t^8.43)/g1 + 2*g1*g2^21*t^8.44 + (2*t^8.62)/(g1^4*g2^12) - (2*t^8.65)/g2^4 - g1^2*t^8.66 + (2*g2^2*t^8.71)/g1^6 + (4*g2^6*t^8.72)/g1^4 + (8*g2^10*t^8.73)/g1^2 + 4*g2^14*t^8.74 + 2*g1^2*g2^18*t^8.75 + (g2^24*t^8.81)/g1^4 + (g2^28*t^8.82)/g1^2 + 2*g2^32*t^8.83 + t^8.84/(g1^3*g2^33) + t^8.85/(g1*g2^29) + (g1*t^8.86)/g2^25 + (g1^3*t^8.87)/g2^21 + t^8.93/(g1^5*g2^19) + t^8.94/(g1^3*g2^15) - (5*t^8.95)/(g1*g2^11) - (6*g1*t^8.96)/g2^7 - (g1^3*t^8.97)/g2^3 - t^4.32/(g2^2*y) - t^6.34/(g1^2*y) - (g2^4*t^6.35)/y - t^6.66/(g1*g2^3*y) - (g1*g2*t^6.67)/y + (g2^8*t^7.05)/(g1^2*y) - t^7.27/(g1*g2^13*y) - (g1*t^7.28)/(g2^9*y) + (g2*t^7.35)/(g1^3*y) + (3*g2^5*t^7.36)/(g1*y) + (2*g1*g2^9*t^7.38)/y + t^7.67/(g1^2*g2^2*y) + (2*g2^2*t^7.68)/y + t^7.97/(g1^3*g2^9*y) + (4*t^7.98)/(g1*g2^5*y) + (3*g1*t^7.99)/(g2*y) + t^8.28/(g1^2*g2^12*y) + (3*t^8.29)/(g2^8*y) + (2*g1^2*t^8.3)/(g2^4*y) - (g2^2*t^8.37)/(g1^4*y) + t^8.59/(g1*g2^15*y) + (g1*t^8.6)/(g2^11*y) - t^8.68/(g1^3*g2*y) - (g2^3*t^8.69)/(g1*y) + t^8.91/(g2^18*y) + t^8.98/(g1^4*g2^8*y) - (t^4.32*y)/g2^2 - (t^6.34*y)/g1^2 - g2^4*t^6.35*y - (t^6.66*y)/(g1*g2^3) - g1*g2*t^6.67*y + (g2^8*t^7.05*y)/g1^2 - (t^7.27*y)/(g1*g2^13) - (g1*t^7.28*y)/g2^9 + (g2*t^7.35*y)/g1^3 + (3*g2^5*t^7.36*y)/g1 + 2*g1*g2^9*t^7.38*y + (t^7.67*y)/(g1^2*g2^2) + 2*g2^2*t^7.68*y + (t^7.97*y)/(g1^3*g2^9) + (4*t^7.98*y)/(g1*g2^5) + (3*g1*t^7.99*y)/g2 + (t^8.28*y)/(g1^2*g2^12) + (3*t^8.29*y)/g2^8 + (2*g1^2*t^8.3*y)/g2^4 - (g2^2*t^8.37*y)/g1^4 + (t^8.59*y)/(g1*g2^15) + (g1*t^8.6*y)/g2^11 - (t^8.68*y)/(g1^3*g2) - (g2^3*t^8.69*y)/g1 + (t^8.91*y)/g2^18 + (t^8.98*y)/(g1^4*g2^8) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56711 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.7472 | 0.9679 | 0.772 | [X:[], M:[0.9858, 0.9858, 1.1174, 0.6761, 0.7794, 0.6761, 0.7794, 0.6761], q:[0.5729, 0.4413], qb:[0.4413, 0.7794], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46946 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7089 | 0.895 | 0.7921 | [X:[], M:[0.9777, 0.9907, 1.1181, 0.6772, 0.7731, 0.6902], q:[0.5749, 0.4474], qb:[0.4345, 0.7795], phi:[0.4409]] | t^2.03 + t^2.07 + t^2.32 + t^2.65 + t^2.93 + t^2.97 + t^3.35 + t^3.64 + t^4.01 + 2*t^4.06 + t^4.1 + t^4.14 + 2*t^4.35 + 2*t^4.39 + t^4.64 + t^4.68 + t^4.72 + t^4.77 + 2*t^4.96 + 2*t^5. + t^5.04 + t^5.25 + 2*t^5.29 + t^5.39 + t^5.42 + 2*t^5.67 + t^5.71 + t^5.87 + t^5.91 + t^5.94 - 2*t^6. - t^4.32/y - t^4.32*y | detail |