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 |
|---|---|---|---|---|---|---|---|---|---|
| 1740 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6348 | 0.8263 | 0.7683 | [X:[], M:[1.0, 0.8719, 0.7258, 0.6781], q:[0.766, 0.234], qb:[0.5722, 0.5559], phi:[0.468]] | [X:[], M:[[0, 0], [-8, -8], [-5, 3], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_4$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_2$ | . | -3 | t^2.03 + t^2.18 + t^2.37 + t^2.42 + t^2.62 + 2*t^2.81 + t^3. + t^3.77 + t^4.01 + t^4.07 + t^4.21 + t^4.36 + t^4.4 + t^4.45 + t^4.55 + t^4.6 + t^4.65 + 2*t^4.74 + 3*t^4.79 + 4*t^4.84 + 2*t^4.99 + t^5.03 + 3*t^5.18 + 3*t^5.23 + t^5.37 + 3*t^5.42 + 4*t^5.62 + 2*t^5.81 - 3*t^6. + t^6.1 + t^6.14 + t^6.19 + t^6.25 + t^6.39 + t^6.43 + t^6.49 + t^6.53 + 2*t^6.58 + t^6.63 + t^6.68 + t^6.72 + 2*t^6.77 + 2*t^6.82 + t^6.83 + 2*t^6.87 + 2*t^6.88 + 2*t^6.92 + t^6.97 + t^7.01 + 2*t^7.02 + t^7.07 + 2*t^7.11 + 4*t^7.16 + 5*t^7.21 + 4*t^7.26 + t^7.27 + 3*t^7.36 + t^7.4 + t^7.41 + t^7.45 + 2*t^7.46 + 5*t^7.55 + 4*t^7.6 + 3*t^7.64 + 4*t^7.65 + t^7.74 + 5*t^7.79 + 3*t^7.84 + t^7.85 - t^7.93 - t^7.98 + 4*t^7.99 + 2*t^8.04 + t^8.14 - t^8.18 + 5*t^8.23 + t^8.28 - 4*t^8.37 + t^8.42 + 2*t^8.51 + t^8.52 - t^8.56 + t^8.57 + t^8.66 + t^8.71 + t^8.72 - 6*t^8.81 + 2*t^8.85 + t^8.86 + t^8.9 + 4*t^8.91 + 3*t^8.95 - t^4.4/y - t^6.44/y - t^6.58/y - t^7.02/y + t^7.4/y + t^7.45/y + t^7.55/y + (2*t^7.6)/y + t^7.65/y + (3*t^7.79)/y + (2*t^7.84)/y + (3*t^7.99)/y + (2*t^8.03)/y + (3*t^8.18)/y + (3*t^8.23)/y + (2*t^8.37)/y + (3*t^8.42)/y - t^8.47/y + t^8.62/y - t^8.76/y + (3*t^8.81)/y + t^8.95/y - t^4.4*y - t^6.44*y - t^6.58*y - t^7.02*y + t^7.4*y + t^7.45*y + t^7.55*y + 2*t^7.6*y + t^7.65*y + 3*t^7.79*y + 2*t^7.84*y + 3*t^7.99*y + 2*t^8.03*y + 3*t^8.18*y + 3*t^8.23*y + 2*t^8.37*y + 3*t^8.42*y - t^8.47*y + t^8.62*y - t^8.76*y + 3*t^8.81*y + t^8.95*y | t^2.03/(g1*g2^9) + (g2^3*t^2.18)/g1^5 + (g2^7*t^2.37)/g1 + (g1^7*t^2.42)/g2 + t^2.62/(g1^8*g2^8) + (2*t^2.81)/(g1^4*g2^4) + t^3. + (g2^5*t^3.77)/g1^3 + g1^9*g2*t^4.01 + t^4.07/(g1^2*g2^18) + t^4.21/(g1^6*g2^6) + (g2^6*t^4.36)/g1^10 + t^4.4/(g1^2*g2^2) + (g1^6*t^4.45)/g2^10 + (g2^10*t^4.55)/g1^6 + g1^2*g2^2*t^4.6 + t^4.65/(g1^9*g2^17) + (2*g2^14*t^4.74)/g1^2 + t^4.79/(g1^13*g2^5) + 2*g1^6*g2^6*t^4.79 + (2*t^4.84)/(g1^5*g2^13) + (2*g1^14*t^4.84)/g2^2 + (2*t^4.99)/(g1^9*g2) + t^5.03/(g1*g2^9) + (3*g2^3*t^5.18)/g1^5 + t^5.23/(g1^16*g2^16) + (2*g1^3*t^5.23)/g2^5 + (g2^7*t^5.37)/g1 + (2*t^5.42)/(g1^12*g2^12) + (g1^7*t^5.42)/g2 + (4*t^5.62)/(g1^8*g2^8) + (2*t^5.81)/(g1^4*g2^4) - 3*t^6. + t^6.1/(g1^3*g2^27) + (g2^12*t^6.14)/g1^4 + g1^4*g2^4*t^6.19 + t^6.25/(g1^7*g2^15) + t^6.39/(g1^11*g2^3) + g1^16*t^6.43 + (g1^5*t^6.49)/g2^19 + (g2^9*t^6.53)/g1^15 + (2*g2*t^6.58)/g1^7 + (g1*t^6.63)/g2^7 + t^6.68/(g1^10*g2^26) + (g2^13*t^6.72)/g1^11 + (2*g2^5*t^6.77)/g1^3 + (2*g1^5*t^6.82)/g2^3 + t^6.83/(g1^14*g2^14) + (2*g1^13*t^6.87)/g2^11 + (2*t^6.88)/(g1^6*g2^22) + (2*g2^17*t^6.92)/g1^7 + t^6.97/(g1^18*g2^2) + g1^9*g2*t^7.01 + (2*t^7.02)/(g1^10*g2^10) + t^7.07/(g1^2*g2^18) + (2*g2^21*t^7.11)/g1^3 + (2*g2^2*t^7.16)/g1^14 + 2*g1^5*g2^13*t^7.16 + (3*t^7.21)/(g1^6*g2^6) + 2*g1^13*g2^5*t^7.21 + (2*g1^2*t^7.26)/g2^14 + (2*g1^21*t^7.26)/g2^3 + t^7.27/(g1^17*g2^25) + (3*g2^6*t^7.36)/g1^10 + t^7.4/(g1^2*g2^2) + t^7.41/(g1^21*g2^13) + (g1^6*t^7.45)/g2^10 + (2*t^7.46)/(g1^13*g2^21) + (5*g2^10*t^7.55)/g1^6 + (2*t^7.6)/(g1^17*g2^9) + 2*g1^2*g2^2*t^7.6 + (3*g1^10*t^7.64)/g2^6 + (4*t^7.65)/(g1^9*g2^17) + (g2^14*t^7.74)/g1^2 + (4*t^7.79)/(g1^13*g2^5) + g1^6*g2^6*t^7.79 + (2*t^7.84)/(g1^5*g2^13) + (g1^14*t^7.84)/g2^2 + t^7.85/(g1^24*g2^24) - g1^2*g2^18*t^7.93 - g1^10*g2^10*t^7.98 + (4*t^7.99)/(g1^9*g2) + (2*t^8.04)/(g1^20*g2^20) + t^8.14/(g1^4*g2^36) - (g2^3*t^8.18)/g1^5 + (4*t^8.23)/(g1^16*g2^16) + (g1^3*t^8.23)/g2^5 + t^8.28/(g1^8*g2^24) - (4*g2^7*t^8.37)/g1 + (6*t^8.42)/(g1^12*g2^12) - (5*g1^7*t^8.42)/g2 + (2*g2^19*t^8.51)/g1^5 + (g1^4*t^8.52)/g2^28 - g1^3*g2^11*t^8.56 + t^8.57/g1^16 + t^8.66/g2^16 + (g2^12*t^8.71)/g1^20 + t^8.72/(g1^11*g2^35) - (6*t^8.81)/(g1^4*g2^4) + (2*g1^23*t^8.85)/g2 + t^8.86/(g1^15*g2^23) + (g2^16*t^8.9)/g1^16 + (2*t^8.91)/(g1^7*g2^31) + (2*g1^12*t^8.91)/g2^20 + (3*g2^8*t^8.95)/g1^8 - t^4.4/(g1^2*g2^2*y) - t^6.44/(g1^3*g2^11*y) - (g2*t^6.58)/(g1^7*y) - t^7.02/(g1^10*g2^10*y) + t^7.4/(g1^2*g2^2*y) + (g1^6*t^7.45)/(g2^10*y) + (g2^10*t^7.55)/(g1^6*y) + (2*g1^2*g2^2*t^7.6)/y + t^7.65/(g1^9*g2^17*y) + t^7.79/(g1^13*g2^5*y) + (2*g1^6*g2^6*t^7.79)/y + (2*t^7.84)/(g1^5*g2^13*y) + (3*t^7.99)/(g1^9*g2*y) + (2*t^8.03)/(g1*g2^9*y) + (3*g2^3*t^8.18)/(g1^5*y) + (3*g1^3*t^8.23)/(g2^5*y) + (2*g2^7*t^8.37)/(g1*y) + (2*t^8.42)/(g1^12*g2^12*y) + (g1^7*t^8.42)/(g2*y) - t^8.47/(g1^4*g2^20*y) + t^8.62/(g1^8*g2^8*y) - (g2^4*t^8.76)/(g1^12*y) + (3*t^8.81)/(g1^4*g2^4*y) + (g2^8*t^8.95)/(g1^8*y) - (t^4.4*y)/(g1^2*g2^2) - (t^6.44*y)/(g1^3*g2^11) - (g2*t^6.58*y)/g1^7 - (t^7.02*y)/(g1^10*g2^10) + (t^7.4*y)/(g1^2*g2^2) + (g1^6*t^7.45*y)/g2^10 + (g2^10*t^7.55*y)/g1^6 + 2*g1^2*g2^2*t^7.6*y + (t^7.65*y)/(g1^9*g2^17) + (t^7.79*y)/(g1^13*g2^5) + 2*g1^6*g2^6*t^7.79*y + (2*t^7.84*y)/(g1^5*g2^13) + (3*t^7.99*y)/(g1^9*g2) + (2*t^8.03*y)/(g1*g2^9) + (3*g2^3*t^8.18*y)/g1^5 + (3*g1^3*t^8.23*y)/g2^5 + (2*g2^7*t^8.37*y)/g1 + (2*t^8.42*y)/(g1^12*g2^12) + (g1^7*t^8.42*y)/g2 - (t^8.47*y)/(g1^4*g2^20) + (t^8.62*y)/(g1^8*g2^8) - (g2^4*t^8.76*y)/g1^12 + (3*t^8.81*y)/(g1^4*g2^4) + (g2^8*t^8.95*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2742 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6262 | 0.8118 | 0.7713 | [X:[], M:[1.0, 0.9403, 0.7392, 0.716, 1.0597], q:[0.7575, 0.2425], qb:[0.5332, 0.5265], phi:[0.4851]] | t^2.15 + t^2.22 + t^2.31 + t^2.33 + 2*t^2.91 + t^3. + t^3.18 + t^3.76 + t^3.87 + t^4.3 + t^4.37 + t^4.44 + t^4.46 + t^4.48 + t^4.52 + t^4.54 + 2*t^4.61 + 2*t^4.63 + 2*t^4.65 + 2*t^5.06 + t^5.13 + 3*t^5.22 + 2*t^5.24 + t^5.31 + 2*t^5.33 + t^5.4 + t^5.49 + t^5.51 + 3*t^5.82 + 2*t^5.91 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 217 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.614 | 0.7856 | 0.7817 | [X:[], M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]] | t^2.17 + t^2.36 + t^2.42 + t^2.63 + 2*t^2.81 + t^3. + t^3.77 + t^3.95 + t^4.01 + t^4.35 + t^4.53 + t^4.59 + 2*t^4.72 + 2*t^4.78 + t^4.8 + 2*t^4.84 + 2*t^4.99 + 3*t^5.17 + 2*t^5.23 + t^5.25 + t^5.36 + t^5.42 + 2*t^5.44 + 4*t^5.63 + t^5.81 - 3*t^6. - t^4.41/y - t^4.41*y | detail |