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 |
|---|---|---|---|---|---|---|---|---|---|
| 2806 | 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_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6449 | 0.8469 | 0.7615 | [X:[], M:[0.985, 1.0449, 0.985, 0.7379, 0.7678, 0.7846], q:[0.7463, 0.2687], qb:[0.4859, 0.4692], phi:[0.5075]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [-13, -1], [-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 |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_6q_2\tilde{q}_1$, $ M_5M_6$, $ M_6^2$, $ M_1M_4$, $ M_3M_4$, $ \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_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -3 | 2*t^2.21 + t^2.26 + t^2.3 + t^2.35 + 2*t^2.96 + 2*t^3.13 + t^3.74 + t^4.34 + t^4.39 + 3*t^4.43 + t^4.44 + 2*t^4.48 + 2*t^4.52 + t^4.53 + 3*t^4.57 + t^4.61 + t^4.62 + t^4.66 + t^4.71 + 4*t^5.17 + 2*t^5.22 + 2*t^5.26 + 2*t^5.31 + 3*t^5.35 + t^5.4 + 2*t^5.44 + 2*t^5.49 + 2*t^5.91 + t^5.95 - 3*t^6. + t^6.04 - t^6.05 + 3*t^6.09 + 3*t^6.27 + 2*t^6.55 + t^6.6 + 5*t^6.64 + t^6.65 + 5*t^6.69 + t^6.7 + 3*t^6.73 + 2*t^6.74 + 3*t^6.78 + 2*t^6.79 + 2*t^6.82 + t^6.83 + 4*t^6.87 + t^6.88 + t^6.91 + 2*t^6.92 + t^6.96 + t^6.97 + t^7.01 + t^7.06 + t^7.29 + t^7.34 + 5*t^7.38 + t^7.39 + t^7.43 + 5*t^7.47 + t^7.48 + 4*t^7.52 + 6*t^7.56 + 2*t^7.57 + 3*t^7.61 + 3*t^7.65 + 3*t^7.66 + 4*t^7.7 + 2*t^7.74 + t^7.75 + 2*t^7.79 + 2*t^7.84 - t^8.03 + t^8.07 - t^8.08 + 2*t^8.12 + t^8.16 - 5*t^8.21 + t^8.25 - 3*t^8.26 - t^8.31 + t^8.34 - 4*t^8.35 + 3*t^8.39 - t^8.4 + 3*t^8.44 + 4*t^8.48 + t^8.53 + 3*t^8.57 + 3*t^8.62 + t^8.68 + t^8.73 + 3*t^8.76 + t^8.78 + t^8.82 + t^8.83 + 7*t^8.85 + 2*t^8.87 + t^8.88 + 5*t^8.9 + t^8.92 + 5*t^8.94 - 6*t^8.96 + t^8.97 + 6*t^8.99 - t^4.52/y - t^6.74/y - t^6.83/y - t^6.88/y + t^7.39/y + t^7.43/y + t^7.48/y + (2*t^7.52)/y + (4*t^7.57)/y + t^7.62/y + (5*t^8.17)/y + (3*t^8.22)/y + (2*t^8.26)/y + (3*t^8.31)/y + (4*t^8.35)/y + (2*t^8.4)/y + (2*t^8.44)/y + (2*t^8.49)/y + t^8.91/y + t^8.95/y - t^4.52*y - t^6.74*y - t^6.83*y - t^6.88*y + t^7.39*y + t^7.43*y + t^7.48*y + 2*t^7.52*y + 4*t^7.57*y + t^7.62*y + 5*t^8.17*y + 3*t^8.22*y + 2*t^8.26*y + 3*t^8.31*y + 4*t^8.35*y + 2*t^8.4*y + 2*t^8.44*y + 2*t^8.49*y + t^8.91*y + t^8.95*y | (2*g2^7*t^2.21)/g1^5 + (g1^7*t^2.26)/g2^5 + t^2.3/(g1^13*g2) + t^2.35/(g1*g2^13) + 2*g1^4*g2^4*t^2.96 + (2*t^3.13)/(g1^12*g2^12) + (g2^5*t^3.74)/g1^7 + (g2^22*t^4.34)/g1^2 + g1^10*g2^10*t^4.39 + (3*g2^14*t^4.43)/g1^10 + (g1^22*t^4.44)/g2^2 + 2*g1^2*g2^2*t^4.48 + (2*g2^6*t^4.52)/g1^18 + (g1^14*t^4.53)/g2^10 + (3*t^4.57)/(g1^6*g2^6) + t^4.61/(g1^26*g2^2) + (g1^6*t^4.62)/g2^18 + t^4.66/(g1^14*g2^14) + t^4.71/(g1^2*g2^26) + (4*g2^11*t^5.17)/g1 + (2*g1^11*t^5.22)/g2 + (2*g2^3*t^5.26)/g1^9 + (2*g1^3*t^5.31)/g2^9 + (3*t^5.35)/(g1^17*g2^5) + t^5.4/(g1^5*g2^17) + (2*t^5.44)/(g1^25*g2^13) + (2*t^5.49)/(g1^13*g2^25) + 2*g1^8*g2^8*t^5.91 + (g2^12*t^5.95)/g1^12 - 3*t^6. + (g2^4*t^6.04)/g1^20 - (g1^12*t^6.05)/g2^12 + (3*t^6.09)/(g1^8*g2^8) + (3*t^6.27)/(g1^24*g2^24) + (2*g2^29*t^6.55)/g1^7 + g1^5*g2^17*t^6.6 + (5*g2^21*t^6.64)/g1^15 + g1^17*g2^5*t^6.65 + (5*g2^9*t^6.69)/g1^3 + (g1^29*t^6.7)/g2^7 + (3*g2^13*t^6.73)/g1^23 + (2*g1^9*t^6.74)/g2^3 + (3*g2*t^6.78)/g1^11 + (2*g1^21*t^6.79)/g2^15 + (2*g2^5*t^6.82)/g1^31 + (g1*t^6.83)/g2^11 + (4*t^6.87)/(g1^19*g2^7) + (g1^13*t^6.88)/g2^23 + t^6.91/(g1^39*g2^3) + (2*t^6.92)/(g1^7*g2^19) + t^6.96/(g1^27*g2^15) + (g1^5*t^6.97)/g2^31 + t^7.01/(g1^15*g2^27) + t^7.06/(g1^3*g2^39) + g1^2*g2^26*t^7.29 + g1^14*g2^14*t^7.34 + (5*g2^18*t^7.38)/g1^6 + g1^26*g2^2*t^7.39 + g1^6*g2^6*t^7.43 + (5*g2^10*t^7.47)/g1^14 + (g1^18*t^7.48)/g2^6 + (4*t^7.52)/(g1^2*g2^2) + (6*g2^2*t^7.56)/g1^22 + (2*g1^10*t^7.57)/g2^14 + (3*t^7.61)/(g1^10*g2^10) + (3*t^7.65)/(g1^30*g2^6) + (3*g1^2*t^7.66)/g2^22 + (4*t^7.7)/(g1^18*g2^18) + (2*t^7.74)/(g1^38*g2^14) + t^7.75/(g1^6*g2^30) + (2*t^7.79)/(g1^26*g2^26) + (2*t^7.84)/(g1^14*g2^38) - g1^11*g2^23*t^8.03 + (g2^27*t^8.07)/g1^9 - g1^23*g2^11*t^8.08 + 2*g1^3*g2^15*t^8.12 + (g2^19*t^8.16)/g1^17 - (5*g2^7*t^8.21)/g1^5 + (g2^11*t^8.25)/g1^25 - (3*g1^7*t^8.26)/g2^5 - (g1^19*t^8.31)/g2^17 + (g2^3*t^8.34)/g1^33 - (4*t^8.35)/(g1*g2^13) + (3*t^8.39)/(g1^21*g2^9) - (g1^11*t^8.4)/g2^25 + (3*t^8.44)/(g1^9*g2^21) + (4*t^8.48)/(g1^29*g2^17) + t^8.53/(g1^17*g2^29) + (3*t^8.57)/(g1^37*g2^25) + (3*t^8.62)/(g1^25*g2^37) + (g2^44*t^8.68)/g1^4 + g1^8*g2^32*t^8.73 + (3*g2^36*t^8.76)/g1^12 + g1^20*g2^20*t^8.78 + g2^24*t^8.82 + g1^32*g2^8*t^8.83 + (7*g2^28*t^8.85)/g1^20 + 2*g1^12*g2^12*t^8.87 + (g1^44*t^8.88)/g2^4 + (5*g2^16*t^8.9)/g1^8 + g1^24*t^8.92 + (5*g2^20*t^8.94)/g1^28 - 6*g1^4*g2^4*t^8.96 + (g1^36*t^8.97)/g2^12 + (6*g2^8*t^8.99)/g1^16 - t^4.52/(g1^2*g2^2*y) - (g2^5*t^6.74)/(g1^7*y) - t^6.83/(g1^15*g2^3*y) - t^6.88/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.39)/y + (g2^14*t^7.43)/(g1^10*y) + (g1^2*g2^2*t^7.48)/y + (2*g2^6*t^7.52)/(g1^18*y) + (4*t^7.57)/(g1^6*g2^6*y) + (g1^6*t^7.62)/(g2^18*y) + (5*g2^11*t^8.17)/(g1*y) + (3*g1^11*t^8.22)/(g2*y) + (2*g2^3*t^8.26)/(g1^9*y) + (3*g1^3*t^8.31)/(g2^9*y) + (4*t^8.35)/(g1^17*g2^5*y) + (2*t^8.4)/(g1^5*g2^17*y) + (2*t^8.44)/(g1^25*g2^13*y) + (2*t^8.49)/(g1^13*g2^25*y) + (g1^8*g2^8*t^8.91)/y + (g2^12*t^8.95)/(g1^12*y) - (t^4.52*y)/(g1^2*g2^2) - (g2^5*t^6.74*y)/g1^7 - (t^6.83*y)/(g1^15*g2^3) - (t^6.88*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.39*y + (g2^14*t^7.43*y)/g1^10 + g1^2*g2^2*t^7.48*y + (2*g2^6*t^7.52*y)/g1^18 + (4*t^7.57*y)/(g1^6*g2^6) + (g1^6*t^7.62*y)/g2^18 + (5*g2^11*t^8.17*y)/g1 + (3*g1^11*t^8.22*y)/g2 + (2*g2^3*t^8.26*y)/g1^9 + (3*g1^3*t^8.31*y)/g2^9 + (4*t^8.35*y)/(g1^17*g2^5) + (2*t^8.4*y)/(g1^5*g2^17) + (2*t^8.44*y)/(g1^25*g2^13) + (2*t^8.49*y)/(g1^13*g2^25) + g1^8*g2^8*t^8.91*y + (g2^12*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 3328 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ | 0.6369 | 0.8365 | 0.7614 | [X:[], M:[0.9529, 1.1414, 0.9529, 0.712, 0.8063, 0.8586], q:[0.7382, 0.3089], qb:[0.4555, 0.4031], phi:[0.5236]] | 2*t^2.14 + t^2.29 + t^2.42 + t^2.58 + 2*t^2.86 + 2*t^3.42 + t^3.71 + t^3.99 + t^4.15 + 3*t^4.27 + t^4.3 + 2*t^4.43 + 2*t^4.56 + t^4.59 + 3*t^4.71 + t^4.84 + t^4.87 + 5*t^4.99 + 3*t^5.15 + 2*t^5.28 + 2*t^5.43 + 3*t^5.56 + 3*t^5.72 + 3*t^5.84 - t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1794 | 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_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ | 0.6282 | 0.8184 | 0.7676 | [X:[], M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]] | 2*t^2.17 + t^2.3 + t^2.31 + 2*t^2.93 + 2*t^3.2 + t^3.57 + t^3.7 + t^4.2 + t^4.33 + 3*t^4.34 + t^4.46 + 4*t^4.47 + t^4.59 + t^4.6 + t^4.61 + 4*t^5.1 + 2*t^5.23 + 2*t^5.24 + 3*t^5.37 + t^5.5 + 2*t^5.51 + 2*t^5.73 + 3*t^5.86 + 2*t^5.87 - 3*t^6. - t^4.53/y - t^4.53*y | detail |