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 |
|---|---|---|---|---|---|---|---|---|---|
| 46859 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6504 | 0.8579 | 0.7582 | [X:[], M:[0.6808, 0.6965, 1.0, 0.7299, 1.0491, 0.9019], q:[0.7623, 0.5569], qb:[0.5412, 0.2377], phi:[0.4755]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [1, 5], [0, -4], [0, 8]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1M_6$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_6$, $ M_4M_6$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_6q_2\tilde{q}_2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_2^3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ M_6^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_3M_6$, $ \phi_1^2\tilde{q}_2^4$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_5\phi_1\tilde{q}_2^2$ | -2 | t^2.04 + t^2.09 + t^2.19 + t^2.34 + t^2.38 + t^2.71 + t^2.85 + t^3. + t^3.15 + t^3.76 + t^4.08 + t^4.13 + t^4.18 + t^4.23 + t^4.28 + 2*t^4.38 + 2*t^4.43 + t^4.47 + t^4.53 + t^4.57 + 2*t^4.67 + 2*t^4.72 + t^4.75 + 2*t^4.77 + t^4.8 + 2*t^4.9 + t^4.94 + 2*t^5.04 + t^5.09 + 3*t^5.19 + 2*t^5.24 + 2*t^5.34 + t^5.38 + t^5.41 + t^5.48 + t^5.53 + t^5.56 + 2*t^5.71 + t^5.81 + 2*t^5.85 - 2*t^6. - t^6.05 + t^6.1 + t^6.13 + t^6.15 + t^6.17 + t^6.22 + 2*t^6.27 + t^6.32 + t^6.37 + 2*t^6.42 + 3*t^6.47 + t^6.52 + t^6.56 + 2*t^6.57 + 2*t^6.62 + 3*t^6.72 + 4*t^6.76 + t^6.79 + 2*t^6.81 + t^6.84 + 4*t^6.86 + t^6.88 + t^6.91 + 2*t^6.94 + 2*t^6.98 + 2*t^7.01 + t^7.03 + 2*t^7.06 + 3*t^7.08 + 2*t^7.1 + 2*t^7.13 + 2*t^7.15 + t^7.18 + 4*t^7.23 + 4*t^7.28 + 2*t^7.33 + 4*t^7.38 + 2*t^7.43 + t^7.45 + t^7.47 + t^7.5 + 5*t^7.53 + 2*t^7.57 + 2*t^7.6 + 2*t^7.62 + t^7.65 + 2*t^7.67 + t^7.72 + 3*t^7.75 + t^7.77 + 2*t^7.8 + t^7.82 + t^7.85 + t^7.87 + 4*t^7.9 + t^7.92 + 2*t^7.94 - 2*t^8.09 + t^8.12 + t^8.17 + t^8.22 + 2*t^8.26 + t^8.31 + t^8.32 - 3*t^8.34 + 2*t^8.36 - 4*t^8.38 + 3*t^8.41 - t^8.43 + 2*t^8.44 + 3*t^8.46 + 3*t^8.51 + 4*t^8.56 + 3*t^8.61 - t^8.63 + t^8.65 + 3*t^8.66 - t^8.68 - t^8.71 + 4*t^8.76 + 4*t^8.81 + t^8.83 + t^8.88 + t^8.9 + 3*t^8.91 + t^8.93 + 5*t^8.95 + t^8.97 + 2*t^8.98 - t^4.43/y - t^6.47/y - t^6.52/y - t^6.62/y + t^7.23/y + t^7.28/y + t^7.38/y + (2*t^7.43)/y + t^7.47/y + t^7.53/y + t^7.57/y + (2*t^7.72)/y + t^7.75/y + t^7.8/y + (2*t^7.9)/y + t^7.94/y + (3*t^8.04)/y + (2*t^8.09)/y + (3*t^8.19)/y + (3*t^8.24)/y + (3*t^8.34)/y + (2*t^8.38)/y + t^8.48/y - t^8.51/y + t^8.53/y - t^8.61/y - t^8.66/y + (3*t^8.85)/y + t^8.95/y - t^4.43*y - t^6.47*y - t^6.52*y - t^6.62*y + t^7.23*y + t^7.28*y + t^7.38*y + 2*t^7.43*y + t^7.47*y + t^7.53*y + t^7.57*y + 2*t^7.72*y + t^7.75*y + t^7.8*y + 2*t^7.9*y + t^7.94*y + 3*t^8.04*y + 2*t^8.09*y + 3*t^8.19*y + 3*t^8.24*y + 3*t^8.34*y + 2*t^8.38*y + t^8.48*y - t^8.51*y + t^8.53*y - t^8.61*y - t^8.66*y + 3*t^8.85*y + t^8.95*y | g1*g2^9*t^2.04 + (g2*t^2.09)/g1 + g1*g2^5*t^2.19 + g1*g2*t^2.34 + t^2.38/(g1*g2^7) + g2^8*t^2.71 + g2^4*t^2.85 + t^3. + t^3.15/g2^4 + g1*g2^3*t^3.76 + g1^2*g2^18*t^4.08 + g2^10*t^4.13 + (g2^2*t^4.18)/g1^2 + g1^2*g2^14*t^4.23 + g2^6*t^4.28 + 2*g1^2*g2^10*t^4.38 + 2*g2^2*t^4.43 + t^4.47/(g1^2*g2^6) + g1^2*g2^6*t^4.53 + t^4.57/g2^2 + 2*g1^2*g2^2*t^4.67 + (2*t^4.72)/g2^6 + g1*g2^17*t^4.75 + (2*t^4.77)/(g1^2*g2^14) + (g2^9*t^4.8)/g1 + 2*g1*g2^13*t^4.9 + (g2^5*t^4.94)/g1 + 2*g1*g2^9*t^5.04 + (g2*t^5.09)/g1 + 3*g1*g2^5*t^5.19 + (2*t^5.24)/(g1*g2^3) + 2*g1*g2*t^5.34 + t^5.38/(g1*g2^7) + g2^16*t^5.41 + (g1*t^5.48)/g2^3 + t^5.53/(g1*g2^11) + g2^12*t^5.56 + 2*g2^8*t^5.71 + g1^2*g2^12*t^5.81 + 2*g2^4*t^5.85 - 2*t^6. - t^6.05/(g1^2*g2^8) + g1^2*g2^4*t^6.1 + g1^3*g2^27*t^6.13 + t^6.15/g2^4 + g1*g2^19*t^6.17 + (g2^11*t^6.22)/g1 + (g2^3*t^6.27)/g1^3 + g1^3*g2^23*t^6.27 + g1*g2^15*t^6.32 + (g2^7*t^6.37)/g1 + 2*g1^3*g2^19*t^6.42 + 3*g1*g2^11*t^6.47 + (g2^3*t^6.52)/g1 + t^6.56/(g1^3*g2^5) + 2*g1^3*g2^15*t^6.57 + 2*g1*g2^7*t^6.62 + 3*g1^3*g2^11*t^6.72 + 4*g1*g2^3*t^6.76 + g1^2*g2^26*t^6.79 + (2*t^6.81)/(g1*g2^5) + g2^18*t^6.84 + (2*t^6.86)/(g1^3*g2^13) + 2*g1^3*g2^7*t^6.86 + (g2^10*t^6.88)/g1^2 + (g1*t^6.91)/g2 + 2*g1^2*g2^22*t^6.94 + 2*g2^14*t^6.98 + 2*g1^3*g2^3*t^7.01 + (g2^6*t^7.03)/g1^2 + (2*g1*t^7.06)/g2^5 + 3*g1^2*g2^18*t^7.08 + (2*t^7.1)/(g1*g2^13) + 2*g2^10*t^7.13 + (2*t^7.15)/(g1^3*g2^21) + (g2^2*t^7.18)/g1^2 + 4*g1^2*g2^14*t^7.23 + 4*g2^6*t^7.28 + (2*t^7.33)/(g1^2*g2^2) + 4*g1^2*g2^10*t^7.38 + 2*g2^2*t^7.43 + g1*g2^25*t^7.45 + t^7.47/(g1^2*g2^6) + (g2^17*t^7.5)/g1 + 5*g1^2*g2^6*t^7.53 + (2*t^7.57)/g2^2 + 2*g1*g2^21*t^7.6 + (2*t^7.62)/(g1^2*g2^10) + (g2^13*t^7.65)/g1 + 2*g1^2*g2^2*t^7.67 + t^7.72/g2^6 + 3*g1*g2^17*t^7.75 + t^7.77/(g1^2*g2^14) + (2*g2^9*t^7.8)/g1 + (g1^2*t^7.82)/g2^2 + g1^3*g2^21*t^7.85 + t^7.87/g2^10 + 4*g1*g2^13*t^7.9 + t^7.92/(g1^2*g2^18) + (2*g2^5*t^7.94)/g1 - (2*g2*t^8.09)/g1 + g2^24*t^8.12 - t^8.14/(g1^3*g2^7) + g1^3*g2^13*t^8.14 + g1^4*g2^36*t^8.17 + g1^2*g2^28*t^8.22 + 2*g2^20*t^8.26 + (g2^12*t^8.31)/g1^2 + g1^4*g2^32*t^8.32 - 3*g1*g2*t^8.34 + (g2^4*t^8.36)/g1^4 + g1^2*g2^24*t^8.36 - (4*t^8.38)/(g1*g2^7) + 3*g2^16*t^8.41 - t^8.43/(g1^3*g2^15) + 2*g1^3*g2^5*t^8.44 + (g2^8*t^8.46)/g1^2 + 2*g1^4*g2^28*t^8.46 + 3*g1^2*g2^20*t^8.51 + 4*g2^12*t^8.56 + (g2^4*t^8.61)/g1^2 + 2*g1^4*g2^24*t^8.61 - (g1*t^8.63)/g2^7 + t^8.65/(g1^4*g2^4) + 3*g1^2*g2^16*t^8.66 - t^8.68/(g1*g2^15) - g2^8*t^8.71 + 4*g1^4*g2^20*t^8.76 + 4*g1^2*g2^12*t^8.81 + g1^3*g2^35*t^8.83 + g1*g2^27*t^8.88 + t^8.9/(g1^2*g2^4) + 3*g1^4*g2^16*t^8.91 + (g2^19*t^8.93)/g1 + (2*t^8.95)/(g1^4*g2^12) + 3*g1^2*g2^8*t^8.95 + (g2^11*t^8.97)/g1^3 + 2*g1^3*g2^31*t^8.98 - (g2^2*t^4.43)/y - (g1*g2^11*t^6.47)/y - (g2^3*t^6.52)/(g1*y) - (g1*g2^7*t^6.62)/y + (g1^2*g2^14*t^7.23)/y + (g2^6*t^7.28)/y + (g1^2*g2^10*t^7.38)/y + (2*g2^2*t^7.43)/y + t^7.47/(g1^2*g2^6*y) + (g1^2*g2^6*t^7.53)/y + t^7.57/(g2^2*y) + (2*t^7.72)/(g2^6*y) + (g1*g2^17*t^7.75)/y + (g2^9*t^7.8)/(g1*y) + (2*g1*g2^13*t^7.9)/y + (g2^5*t^7.94)/(g1*y) + (3*g1*g2^9*t^8.04)/y + (2*g2*t^8.09)/(g1*y) + (3*g1*g2^5*t^8.19)/y + (3*t^8.24)/(g1*g2^3*y) + (3*g1*g2*t^8.34)/y + (2*t^8.38)/(g1*g2^7*y) + (g1*t^8.48)/(g2^3*y) - (g1^2*g2^20*t^8.51)/y + t^8.53/(g1*g2^11*y) - (g2^4*t^8.61)/(g1^2*y) - (g1^2*g2^16*t^8.66)/y + (3*g2^4*t^8.85)/y + (g1^2*g2^8*t^8.95)/y - g2^2*t^4.43*y - g1*g2^11*t^6.47*y - (g2^3*t^6.52*y)/g1 - g1*g2^7*t^6.62*y + g1^2*g2^14*t^7.23*y + g2^6*t^7.28*y + g1^2*g2^10*t^7.38*y + 2*g2^2*t^7.43*y + (t^7.47*y)/(g1^2*g2^6) + g1^2*g2^6*t^7.53*y + (t^7.57*y)/g2^2 + (2*t^7.72*y)/g2^6 + g1*g2^17*t^7.75*y + (g2^9*t^7.8*y)/g1 + 2*g1*g2^13*t^7.9*y + (g2^5*t^7.94*y)/g1 + 3*g1*g2^9*t^8.04*y + (2*g2*t^8.09*y)/g1 + 3*g1*g2^5*t^8.19*y + (3*t^8.24*y)/(g1*g2^3) + 3*g1*g2*t^8.34*y + (2*t^8.38*y)/(g1*g2^7) + (g1*t^8.48*y)/g2^3 - g1^2*g2^20*t^8.51*y + (t^8.53*y)/(g1*g2^11) - (g2^4*t^8.61*y)/g1^2 - g1^2*g2^16*t^8.66*y + 3*g2^4*t^8.85*y + g1^2*g2^8*t^8.95*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 50959 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6484 | 0.8534 | 0.7598 | [X:[], M:[0.7205, 0.6812, 1.0, 0.7598, 1.0393, 0.9214], q:[0.7598, 0.5196], qb:[0.5589, 0.2402], phi:[0.4804]] | t^2.04 + t^2.16 + 2*t^2.28 + t^2.4 + t^2.76 + t^2.88 + t^3. + t^3.12 + t^3.84 + t^4.09 + t^4.21 + 3*t^4.32 + 3*t^4.44 + 5*t^4.56 + 3*t^4.68 + 2*t^4.79 + t^4.81 + 2*t^4.93 + 3*t^5.04 + 4*t^5.16 + 4*t^5.28 + 3*t^5.4 + t^5.52 + t^5.53 + t^5.65 + 2*t^5.76 + t^5.88 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 50975 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6466 | 0.8507 | 0.76 | [X:[], M:[0.6996, 0.7159, 1.0, 0.7334, 1.0338, 0.9324, 1.0338], q:[0.7584, 0.542], qb:[0.5256, 0.2416], phi:[0.4831]] | t^2.1 + t^2.15 + t^2.2 + t^2.3 + t^2.35 + t^2.8 + t^3. + 2*t^3.1 + t^3.75 + t^4.2 + t^4.25 + 2*t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.6 + 2*t^4.65 + 2*t^4.7 + t^4.9 + t^4.95 + t^5. + t^5.1 + t^5.15 + 3*t^5.2 + 2*t^5.25 + 3*t^5.3 + t^5.35 + 2*t^5.4 + 2*t^5.45 + t^5.59 + t^5.8 + t^5.85 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46578 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6442 | 0.847 | 0.7605 | [X:[], M:[0.719, 0.7359, 1.0, 0.737, 1.0181], q:[0.7545, 0.5265], qb:[0.5096, 0.2455], phi:[0.491]] | t^2.16 + 2*t^2.21 + t^2.27 + t^2.32 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.74 + t^4.31 + t^4.36 + t^4.37 + 4*t^4.42 + 2*t^4.47 + t^4.48 + t^4.52 + 3*t^4.53 + 2*t^4.58 + 2*t^4.63 + t^5.1 + t^5.15 + t^5.16 + 3*t^5.21 + 2*t^5.26 + 3*t^5.27 + 4*t^5.32 + 2*t^5.37 + t^5.42 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail |