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 |
|---|---|---|---|---|---|---|---|---|---|
| 1820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6244 | 0.811 | 0.77 | [X:[], M:[0.9923, 1.0232, 1.0077, 0.7496, 0.7621], q:[0.7481, 0.2597], qb:[0.4869, 0.4899], phi:[0.5039]] | [X:[], M:[[4, 4], [-12, -12], [-4, -4], [-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_4$, $ q_2\tilde{q}_2$, $ M_5$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \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_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_1$ | . | -3 | t^2.24 + 2*t^2.25 + t^2.29 + 2*t^3.02 + 2*t^3.07 + t^3.7 + t^3.76 + t^4.43 + t^4.44 + t^4.45 + t^4.48 + 2*t^4.49 + 3*t^4.5 + 3*t^4.53 + t^4.57 + 2*t^5.26 + 4*t^5.27 + 3*t^5.31 + 3*t^5.32 + 2*t^5.36 + t^5.94 + t^5.95 - 3*t^6. + t^6.01 + 2*t^6.05 + 4*t^6.09 + 3*t^6.14 + t^6.67 + t^6.68 + t^6.69 + 2*t^6.7 + 2*t^6.72 + 3*t^6.73 + 2*t^6.74 + 4*t^6.75 + 3*t^6.77 + 3*t^6.78 + t^6.81 + t^6.82 + t^6.83 + t^6.86 - t^7.42 - t^7.43 + t^7.46 + t^7.47 + 2*t^7.5 + 2*t^7.51 + 7*t^7.52 + 3*t^7.55 + 5*t^7.56 + 4*t^7.57 + 6*t^7.6 + 2*t^7.64 + t^8.14 + t^8.18 - t^8.19 - t^8.2 + t^8.21 - 4*t^8.24 - 7*t^8.25 + t^8.26 - 2*t^8.29 + 3*t^8.3 + 4*t^8.33 + 6*t^8.34 + 5*t^8.38 + 4*t^8.39 + 3*t^8.43 + 2*t^8.87 + t^8.88 + t^8.89 + t^8.9 + t^8.91 + t^8.92 + t^8.94 + 3*t^8.95 + 2*t^8.96 + 3*t^8.97 + t^8.98 + 7*t^8.99 - t^4.51/y - t^6.76/y - t^6.8/y + t^7.44/y + (3*t^7.49)/y + t^7.5/y + (2*t^7.53)/y - t^7.58/y + t^8.23/y + (3*t^8.26)/y + (4*t^8.27)/y + (4*t^8.31)/y + (4*t^8.32)/y + (2*t^8.36)/y + t^8.94/y + (2*t^8.95)/y + t^8.99/y - t^4.51*y - t^6.76*y - t^6.8*y + t^7.44*y + 3*t^7.49*y + t^7.5*y + 2*t^7.53*y - t^7.58*y + t^8.23*y + 3*t^8.26*y + 4*t^8.27*y + 4*t^8.31*y + 4*t^8.32*y + 2*t^8.36*y + t^8.94*y + 2*t^8.95*y + t^8.99*y | (g1^7*t^2.24)/g2^5 + (2*g2^7*t^2.25)/g1^5 + t^2.29/(g1*g2^13) + (2*t^3.02)/(g1^4*g2^4) + (2*t^3.07)/(g1^12*g2^12) + g1^13*g2*t^3.7 + (g2^5*t^3.76)/g1^7 + (g1^22*t^4.43)/g2^2 + g1^10*g2^10*t^4.44 + (g2^22*t^4.45)/g1^2 + (g1^14*t^4.48)/g2^10 + 2*g1^2*g2^2*t^4.49 + (3*g2^14*t^4.5)/g1^10 + (g1^6*t^4.53)/g2^18 + (2*t^4.53)/(g1^6*g2^6) + t^4.57/(g1^2*g2^26) + (2*g1^3*t^5.26)/g2^9 + (4*g2^3*t^5.27)/g1^9 + (3*t^5.31)/(g1^5*g2^17) + (3*t^5.32)/(g1^17*g2^5) + (2*t^5.36)/(g1^13*g2^25) + (g1^20*t^5.94)/g2^4 + g1^8*g2^8*t^5.95 - 3*t^6. + (g2^12*t^6.01)/g1^12 + (2*t^6.05)/(g1^8*g2^8) + (4*t^6.09)/(g1^16*g2^16) + (3*t^6.14)/(g1^24*g2^24) + (g1^29*t^6.67)/g2^7 + g1^17*g2^5*t^6.68 + g1^5*g2^17*t^6.69 + (2*g2^29*t^6.7)/g1^7 + (2*g1^21*t^6.72)/g2^15 + (3*g1^9*t^6.73)/g2^3 + (2*g2^9*t^6.74)/g1^3 + (4*g2^21*t^6.75)/g1^15 + (g1^13*t^6.77)/g2^23 + (2*g1*t^6.77)/g2^11 + (3*g2*t^6.78)/g1^11 + (g1^5*t^6.81)/g2^31 + t^6.82/(g1^7*g2^19) + t^6.83/(g1^19*g2^7) + t^6.86/(g1^3*g2^39) - g1^14*g2^14*t^7.42 - g1^2*g2^26*t^7.43 + (g1^18*t^7.46)/g2^6 + (g2^18*t^7.47)/g1^6 + (2*g1^10*t^7.5)/g2^14 + (2*t^7.51)/(g1^2*g2^2) + (7*g2^10*t^7.52)/g1^14 + (3*g1^2*t^7.55)/g2^22 + (5*t^7.56)/(g1^10*g2^10) + (4*g2^2*t^7.57)/g1^22 + (3*t^7.6)/(g1^6*g2^30) + (3*t^7.6)/(g1^18*g2^18) + (2*t^7.64)/(g1^14*g2^38) + (g1^35*t^8.14)/g2 + (g1^27*t^8.18)/g2^9 - g1^15*g2^3*t^8.19 - g1^3*g2^15*t^8.2 + (g2^27*t^8.21)/g1^9 - (4*g1^7*t^8.24)/g2^5 - (7*g2^7*t^8.25)/g1^5 + (g2^19*t^8.26)/g1^17 - (2*t^8.29)/(g1*g2^13) + (3*t^8.3)/(g1^13*g2) + (4*t^8.33)/(g1^9*g2^21) + (6*t^8.34)/(g1^21*g2^9) + (5*t^8.38)/(g1^17*g2^29) + (4*t^8.39)/(g1^29*g2^17) + (3*t^8.43)/(g1^25*g2^37) + (g1^44*t^8.87)/g2^4 + g1^32*g2^8*t^8.87 + g1^20*g2^20*t^8.88 + g1^8*g2^32*t^8.89 + (g2^44*t^8.9)/g1^4 + (g1^36*t^8.91)/g2^12 + g1^24*t^8.92 + g2^24*t^8.94 + (3*g2^36*t^8.95)/g1^12 + (2*g1^28*t^8.96)/g2^20 + (3*g1^16*t^8.97)/g2^8 + g1^4*g2^4*t^8.98 + (2*g2^16*t^8.99)/g1^8 + (5*g2^28*t^8.99)/g1^20 - t^4.51/(g1^2*g2^2*y) - (g2^5*t^6.76)/(g1^7*y) - t^6.8/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.44)/y + (3*g1^2*g2^2*t^7.49)/y + (g2^14*t^7.5)/(g1^10*y) + (g1^6*t^7.53)/(g2^18*y) + t^7.53/(g1^6*g2^6*y) - t^7.58/(g1^14*g2^14*y) + (g2^11*t^8.23)/(g1*y) + (3*g1^3*t^8.26)/(g2^9*y) + (4*g2^3*t^8.27)/(g1^9*y) + (4*t^8.31)/(g1^5*g2^17*y) + (4*t^8.32)/(g1^17*g2^5*y) + (2*t^8.36)/(g1^13*g2^25*y) + (g1^20*t^8.94)/(g2^4*y) + (2*g1^8*g2^8*t^8.95)/y + (g1^12*t^8.99)/(g2^12*y) - (t^4.51*y)/(g1^2*g2^2) - (g2^5*t^6.76*y)/g1^7 - (t^6.8*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.44*y + 3*g1^2*g2^2*t^7.49*y + (g2^14*t^7.5*y)/g1^10 + (g1^6*t^7.53*y)/g2^18 + (t^7.53*y)/(g1^6*g2^6) - (t^7.58*y)/(g1^14*g2^14) + (g2^11*t^8.23*y)/g1 + (3*g1^3*t^8.26*y)/g2^9 + (4*g2^3*t^8.27*y)/g1^9 + (4*t^8.31*y)/(g1^5*g2^17) + (4*t^8.32*y)/(g1^17*g2^5) + (2*t^8.36*y)/(g1^13*g2^25) + (g1^20*t^8.94*y)/g2^4 + 2*g1^8*g2^8*t^8.95*y + (g1^12*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 2838 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6123 | 0.7936 | 0.7715 | [X:[], M:[0.9508, 1.1475, 1.0492, 0.7212, 0.8525], q:[0.7377, 0.3115], qb:[0.4427, 0.4098], phi:[0.5246]] | 2*t^2.16 + t^2.26 + t^2.56 + 2*t^3.15 + 2*t^3.44 + t^3.54 + t^3.74 + t^4.03 + t^4.13 + t^4.23 + 3*t^4.33 + 2*t^4.43 + t^4.53 + 2*t^4.72 + t^4.82 + t^5.12 + 4*t^5.31 + 2*t^5.41 + 3*t^5.61 + 4*t^5.71 + t^5.8 + t^5.9 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 344 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6064 | 0.7787 | 0.7788 | [X:[], M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.21 + t^2.27 + 2*t^3.04 + 2*t^3.13 + t^3.64 + t^3.7 + t^3.73 + t^4.33 + t^4.39 + 3*t^4.42 + t^4.45 + 2*t^4.48 + t^4.54 + 4*t^5.25 + 2*t^5.31 + 3*t^5.34 + t^5.4 + 2*t^5.85 + 2*t^5.91 + t^5.94 + t^5.97 - 3*t^6. - t^4.52/y - t^4.52*y | detail |