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 |
|---|---|---|---|---|---|---|---|---|---|
| 525 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6284 | 0.8132 | 0.7728 | [X:[], M:[1.0, 1.0446, 0.9108, 0.7388, 0.7388], q:[0.7612, 0.2388], qb:[0.5446, 0.5446], phi:[0.4777]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [3, -5]], 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 |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_1M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_2M_3$ | . | -4 | 2*t^2.22 + 2*t^2.35 + t^2.73 + t^2.87 + t^3. + t^3.13 + 2*t^3.92 + 3*t^4.43 + 4*t^4.57 + 6*t^4.7 + 2*t^4.95 + 2*t^5.08 + 4*t^5.22 + 4*t^5.35 + t^5.46 + 2*t^5.48 + t^5.6 + 2*t^5.73 + t^5.87 - 4*t^6. + 4*t^6.13 + 4*t^6.27 - 2*t^6.52 + 4*t^6.65 + 4*t^6.78 + 10*t^6.92 + 10*t^7.05 + 3*t^7.17 + 3*t^7.3 + 5*t^7.43 + 8*t^7.57 + 2*t^7.68 + 6*t^7.7 + 2*t^7.82 + 6*t^7.83 + 4*t^7.95 + 4*t^8.08 + t^8.2 - 8*t^8.22 + t^8.33 - 4*t^8.35 + 2*t^8.46 + 4*t^8.48 + 2*t^8.6 + 10*t^8.62 - 5*t^8.73 - t^4.43/y - (2*t^6.65)/y - t^7.17/y + t^7.43/y + (4*t^7.57)/y + (2*t^7.7)/y + (2*t^7.95)/y + (4*t^8.08)/y + (6*t^8.22)/y + (4*t^8.35)/y + (2*t^8.48)/y + t^8.6/y + t^8.73/y - t^8.87/y - t^4.43*y - 2*t^6.65*y - t^7.17*y + t^7.43*y + 4*t^7.57*y + 2*t^7.7*y + 2*t^7.95*y + 4*t^8.08*y + 6*t^8.22*y + 4*t^8.35*y + 2*t^8.48*y + t^8.6*y + t^8.73*y - t^8.87*y | (g1^3*t^2.22)/g2^5 + (g2^3*t^2.22)/g1^5 + (g1^7*t^2.35)/g2 + (g2^7*t^2.35)/g1 + t^2.73/(g1^8*g2^8) + t^2.87/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.13 + g1^9*g2*t^3.92 + g1*g2^9*t^3.92 + (g1^6*t^4.43)/g2^10 + t^4.43/(g1^2*g2^2) + (g2^6*t^4.43)/g1^10 + (g1^10*t^4.57)/g2^6 + 2*g1^2*g2^2*t^4.57 + (g2^10*t^4.57)/g1^6 + (2*g1^14*t^4.7)/g2^2 + 2*g1^6*g2^6*t^4.7 + (2*g2^14*t^4.7)/g1^2 + t^4.95/(g1^5*g2^13) + t^4.95/(g1^13*g2^5) + t^5.08/(g1*g2^9) + t^5.08/(g1^9*g2) + (2*g1^3*t^5.22)/g2^5 + (2*g2^3*t^5.22)/g1^5 + (2*g1^7*t^5.35)/g2 + (2*g2^7*t^5.35)/g1 + t^5.46/(g1^16*g2^16) + g1^11*g2^3*t^5.48 + g1^3*g2^11*t^5.48 + t^5.6/(g1^12*g2^12) + (2*t^5.73)/(g1^8*g2^8) + t^5.87/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.13)/g2^4 + 2*g1^4*g2^4*t^6.13 + (g2^12*t^6.13)/g1^4 + g1^16*t^6.27 + 2*g1^8*g2^8*t^6.27 + g2^16*t^6.27 - t^6.52/(g1^3*g2^11) - t^6.52/(g1^11*g2^3) + (g1^9*t^6.65)/g2^15 + (g1*t^6.65)/g2^7 + (g2*t^6.65)/g1^7 + (g2^9*t^6.65)/g1^15 + (g1^13*t^6.78)/g2^11 + (g1^5*t^6.78)/g2^3 + (g2^5*t^6.78)/g1^3 + (g2^13*t^6.78)/g1^11 + (2*g1^17*t^6.92)/g2^7 + 3*g1^9*g2*t^6.92 + 3*g1*g2^9*t^6.92 + (2*g2^17*t^6.92)/g1^7 + (2*g1^21*t^7.05)/g2^3 + 3*g1^13*g2^5*t^7.05 + 3*g1^5*g2^13*t^7.05 + (2*g2^21*t^7.05)/g1^3 + t^7.17/(g1^2*g2^18) + t^7.17/(g1^10*g2^10) + t^7.17/(g1^18*g2^2) + (g1^2*t^7.3)/g2^14 + t^7.3/(g1^6*g2^6) + (g2^2*t^7.3)/g1^14 + (2*g1^6*t^7.43)/g2^10 + t^7.43/(g1^2*g2^2) + (2*g2^6*t^7.43)/g1^10 + (3*g1^10*t^7.57)/g2^6 + 2*g1^2*g2^2*t^7.57 + (3*g2^10*t^7.57)/g1^6 + t^7.68/(g1^13*g2^21) + t^7.68/(g1^21*g2^13) + (2*g1^14*t^7.7)/g2^2 + 2*g1^6*g2^6*t^7.7 + (2*g2^14*t^7.7)/g1^2 + t^7.82/(g1^9*g2^17) + t^7.82/(g1^17*g2^9) + 2*g1^18*g2^2*t^7.83 + 2*g1^10*g2^10*t^7.83 + 2*g1^2*g2^18*t^7.83 + (2*t^7.95)/(g1^5*g2^13) + (2*t^7.95)/(g1^13*g2^5) + (2*t^8.08)/(g1*g2^9) + (2*t^8.08)/(g1^9*g2) + t^8.2/(g1^24*g2^24) - (g1^11*t^8.22)/g2^13 - (3*g1^3*t^8.22)/g2^5 - (3*g2^3*t^8.22)/g1^5 - (g2^11*t^8.22)/g1^13 + t^8.33/(g1^20*g2^20) - (2*g1^7*t^8.35)/g2 - (2*g2^7*t^8.35)/g1 + (2*t^8.46)/(g1^16*g2^16) + (g1^19*t^8.48)/g2^5 + g1^11*g2^3*t^8.48 + g1^3*g2^11*t^8.48 + (g2^19*t^8.48)/g1^5 + (2*t^8.6)/(g1^12*g2^12) + (2*g1^23*t^8.62)/g2 + 3*g1^15*g2^7*t^8.62 + 3*g1^7*g2^15*t^8.62 + (2*g2^23*t^8.62)/g1 - t^8.73/g1^16 - t^8.73/g2^16 - (3*t^8.73)/(g1^8*g2^8) + (g1^12*t^8.87)/g2^20 - (2*t^8.87)/(g1^4*g2^4) + (g2^12*t^8.87)/g1^20 - t^4.43/(g1^2*g2^2*y) - (g1*t^6.65)/(g2^7*y) - (g2*t^6.65)/(g1^7*y) - t^7.17/(g1^10*g2^10*y) + t^7.43/(g1^2*g2^2*y) + (g1^10*t^7.57)/(g2^6*y) + (2*g1^2*g2^2*t^7.57)/y + (g2^10*t^7.57)/(g1^6*y) + (2*g1^6*g2^6*t^7.7)/y + t^7.95/(g1^5*g2^13*y) + t^7.95/(g1^13*g2^5*y) + (2*t^8.08)/(g1*g2^9*y) + (2*t^8.08)/(g1^9*g2*y) + (3*g1^3*t^8.22)/(g2^5*y) + (3*g2^3*t^8.22)/(g1^5*y) + (2*g1^7*t^8.35)/(g2*y) + (2*g2^7*t^8.35)/(g1*y) + (g1^11*g2^3*t^8.48)/y + (g1^3*g2^11*t^8.48)/y + t^8.6/(g1^12*g2^12*y) + t^8.73/(g1^8*g2^8*y) - (g1^4*t^8.87)/(g2^12*y) + t^8.87/(g1^4*g2^4*y) - (g2^4*t^8.87)/(g1^12*y) - (t^4.43*y)/(g1^2*g2^2) - (g1*t^6.65*y)/g2^7 - (g2*t^6.65*y)/g1^7 - (t^7.17*y)/(g1^10*g2^10) + (t^7.43*y)/(g1^2*g2^2) + (g1^10*t^7.57*y)/g2^6 + 2*g1^2*g2^2*t^7.57*y + (g2^10*t^7.57*y)/g1^6 + 2*g1^6*g2^6*t^7.7*y + (t^7.95*y)/(g1^5*g2^13) + (t^7.95*y)/(g1^13*g2^5) + (2*t^8.08*y)/(g1*g2^9) + (2*t^8.08*y)/(g1^9*g2) + (3*g1^3*t^8.22*y)/g2^5 + (3*g2^3*t^8.22*y)/g1^5 + (2*g1^7*t^8.35*y)/g2 + (2*g2^7*t^8.35*y)/g1 + g1^11*g2^3*t^8.48*y + g1^3*g2^11*t^8.48*y + (t^8.6*y)/(g1^12*g2^12) + (t^8.73*y)/(g1^8*g2^8) - (g1^4*t^8.87*y)/g2^12 + (t^8.87*y)/(g1^4*g2^4) - (g2^4*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 820 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ | 0.624 | 0.8111 | 0.7693 | [X:[], M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | 4*t^2.25 + t^2.99 + t^3. + 2*t^3.01 + 2*t^3.76 + 7*t^4.5 + 6*t^4.51 + 8*t^5.25 + 4*t^5.26 + 2*t^5.27 + t^5.99 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1870 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6491 | 0.8532 | 0.7608 | [X:[], M:[1.0, 1.0477, 0.9045, 0.7352, 0.7409, 0.6874], q:[0.7619, 0.2381], qb:[0.5506, 0.5449], phi:[0.4761]] | t^2.06 + t^2.21 + t^2.22 + t^2.35 + t^2.37 + t^2.71 + t^2.86 + t^3. + t^3.14 + t^3.92 + t^4.12 + t^4.27 + t^4.29 + 2*t^4.41 + 2*t^4.43 + t^4.45 + t^4.55 + 2*t^4.57 + t^4.59 + 2*t^4.7 + 2*t^4.71 + 2*t^4.73 + t^4.78 + 2*t^4.92 + t^4.94 + 2*t^5.06 + t^5.08 + 3*t^5.21 + 2*t^5.22 + 2*t^5.35 + 2*t^5.37 + t^5.43 + t^5.49 + t^5.51 + t^5.57 + 2*t^5.71 + t^5.86 - 2*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 334 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6092 | 0.7784 | 0.7826 | [X:[], M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.19 + t^2.31 + t^2.38 + t^2.75 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^3.94 + t^4.37 + t^4.5 + t^4.56 + 2*t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.93 + t^5.06 + 2*t^5.19 + t^5.25 + 2*t^5.31 + t^5.38 + t^5.44 + t^5.49 + t^5.5 + t^5.62 + 2*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail |