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 |
|---|---|---|---|---|---|---|---|---|---|
| 55427 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_5M_7$ | 0.7196 | 0.8908 | 0.8078 | [X:[], M:[0.909, 0.8195, 0.9707, 1.0602, 1.0293, 0.8503, 0.9707], q:[0.5609, 0.5301], qb:[0.6196, 0.4097], phi:[0.4699]] | [X:[], M:[[1, 7], [0, 6], [-1, -3], [0, -2], [1, 3], [-1, 1], [-1, -3]], q:[[-1, -6], [0, -1]], qb:[[1, 0], [0, 3]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_7$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_7$, $ M_6\phi_1^2$, $ M_1^2$, $ M_3M_6$, $ M_6M_7$, $ M_1M_3$, $ M_2M_4$, $ M_1M_7$, $ \phi_1^4$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -3 | t^2.46 + t^2.55 + t^2.73 + t^2.82 + 2*t^2.91 + t^3.18 + t^3.87 + t^4.23 + t^4.32 + t^4.5 + t^4.59 + t^4.68 + t^4.78 + t^4.86 + t^4.92 + t^4.95 + t^5.01 + t^5.1 + t^5.13 + t^5.19 + 2*t^5.28 + 2*t^5.37 + t^5.45 + 2*t^5.46 + 3*t^5.64 + 2*t^5.73 + 2*t^5.82 - 3*t^6. + t^6.09 - t^6.18 - t^6.27 + t^6.33 - t^6.36 + t^6.42 - t^6.45 + t^6.6 - t^6.63 + 2*t^6.69 + 3*t^6.78 + t^6.87 + t^6.96 + 3*t^7.05 + 3*t^7.14 + t^7.22 + 3*t^7.23 + t^7.32 + t^7.33 + t^7.38 + 2*t^7.41 + t^7.47 + 3*t^7.5 + t^7.56 + 3*t^7.59 + t^7.64 + t^7.65 + t^7.68 + 2*t^7.69 + 3*t^7.74 - t^7.77 + 3*t^7.83 + t^7.85 + t^7.91 + 2*t^7.92 + t^8. + 2*t^8.01 + 3*t^8.1 - t^8.13 + t^8.18 + 4*t^8.19 - t^8.22 + 3*t^8.28 + 2*t^8.37 + 2*t^8.38 - t^8.4 - 2*t^8.46 + 3*t^8.64 - 5*t^8.73 + 2*t^8.74 + t^8.79 - 3*t^8.82 + t^8.88 - t^8.9 - 7*t^8.91 + t^8.97 - t^4.41/y - t^6.87/y - t^6.96/y - t^7.14/y - t^7.32/y + t^7.5/y + t^7.68/y + t^7.86/y + t^7.95/y + t^8.01/y + t^8.19/y + (2*t^8.28)/y + (3*t^8.37)/y + (2*t^8.46)/y + t^8.55/y + (3*t^8.64)/y + (3*t^8.73)/y + t^8.82/y + t^8.91/y - t^4.41*y - t^6.87*y - t^6.96*y - t^7.14*y - t^7.32*y + t^7.5*y + t^7.68*y + t^7.86*y + t^7.95*y + t^8.01*y + t^8.19*y + 2*t^8.28*y + 3*t^8.37*y + 2*t^8.46*y + t^8.55*y + 3*t^8.64*y + 3*t^8.73*y + t^8.82*y + t^8.91*y | g2^6*t^2.46 + (g2*t^2.55)/g1 + g1*g2^7*t^2.73 + g2^2*t^2.82 + (2*t^2.91)/(g1*g2^3) + t^3.18/g2^2 + g2^7*t^3.87 + g2^3*t^4.23 + t^4.32/(g1*g2^2) + g1*g2^4*t^4.5 + t^4.59/g2 + t^4.68/(g1*g2^6) + t^4.78/(g1^2*g2^11) + g1*t^4.86 + g2^12*t^4.92 + t^4.95/g2^5 + (g2^7*t^5.01)/g1 + (g2^2*t^5.1)/g1^2 + g1^2*g2*t^5.13 + g1*g2^13*t^5.19 + 2*g2^8*t^5.28 + (2*g2^3*t^5.37)/g1 + g1^2*g2^14*t^5.45 + (2*t^5.46)/(g1^2*g2^2) + 3*g2^4*t^5.64 + (2*t^5.73)/(g1*g2) + (2*t^5.82)/(g1^2*g2^6) - 3*t^6. + t^6.09/(g1*g2^5) - g1^2*g2^6*t^6.18 - g1*g2*t^6.27 + g2^13*t^6.33 - t^6.36/g2^4 + (g2^8*t^6.42)/g1 - t^6.45/(g1*g2^9) + g1*g2^14*t^6.6 - (g1*t^6.63)/g2^3 + 2*g2^9*t^6.69 + (3*g2^4*t^6.78)/g1 + t^6.87/(g1^2*g2) + g1*g2^10*t^6.96 + 3*g2^5*t^7.05 + (3*t^7.14)/g1 + g1^2*g2^11*t^7.22 + (3*t^7.23)/(g1^2*g2^5) + g1*g2^6*t^7.32 + t^7.33/(g1^3*g2^10) + g2^18*t^7.38 + 2*g2*t^7.41 + (g2^13*t^7.47)/g1 + (3*t^7.5)/(g1*g2^4) + (g2^8*t^7.56)/g1^2 + (2*t^7.59)/(g1^2*g2^9) + g1^2*g2^7*t^7.59 + g1*g2^19*t^7.64 + (g2^3*t^7.65)/g1^3 + g1*g2^2*t^7.68 + (2*t^7.69)/(g1^3*g2^14) + 3*g2^14*t^7.74 - t^7.77/g2^3 + (3*g2^9*t^7.83)/g1 + g1^3*g2^8*t^7.85 + g1^2*g2^20*t^7.91 + (2*g2^4*t^7.92)/g1^2 + g1*g2^15*t^8. + (2*t^8.01)/(g1^3*g2) + 3*g2^10*t^8.1 - t^8.13/g2^7 + g1^3*g2^21*t^8.18 + (4*g2^5*t^8.19)/g1 - t^8.22/(g1*g2^12) + (3*t^8.28)/g1^2 + 2*g1*g2^11*t^8.37 + (2*t^8.38)/(g1^3*g2^5) - (g1*t^8.4)/g2^6 - 2*g2^6*t^8.46 + (3*t^8.64)/(g1^2*g2^4) - 5*g1*g2^7*t^8.73 + (2*t^8.74)/(g1^3*g2^9) + g2^19*t^8.79 - 3*g2^2*t^8.82 + (g2^14*t^8.88)/g1 - g1^3*g2^13*t^8.9 - (7*t^8.91)/(g1*g2^3) + (g2^9*t^8.97)/g1^2 - (g2*t^4.41)/y - (g2^7*t^6.87)/y - (g2^2*t^6.96)/(g1*y) - (g1*g2^8*t^7.14)/y - t^7.32/(g1*g2^2*y) + (g1*g2^4*t^7.5)/y + t^7.68/(g1*g2^6*y) + (g1*t^7.86)/y + t^7.95/(g2^5*y) + (g2^7*t^8.01)/(g1*y) + (g1*g2^13*t^8.19)/y + (2*g2^8*t^8.28)/y + (3*g2^3*t^8.37)/(g1*y) + (2*t^8.46)/(g1^2*g2^2*y) + (g1*g2^9*t^8.55)/y + (3*g2^4*t^8.64)/y + (3*t^8.73)/(g1*g2*y) + t^8.82/(g1^2*g2^6*y) + (g1*g2^5*t^8.91)/y - g2*t^4.41*y - g2^7*t^6.87*y - (g2^2*t^6.96*y)/g1 - g1*g2^8*t^7.14*y - (t^7.32*y)/(g1*g2^2) + g1*g2^4*t^7.5*y + (t^7.68*y)/(g1*g2^6) + g1*t^7.86*y + (t^7.95*y)/g2^5 + (g2^7*t^8.01*y)/g1 + g1*g2^13*t^8.19*y + 2*g2^8*t^8.28*y + (3*g2^3*t^8.37*y)/g1 + (2*t^8.46*y)/(g1^2*g2^2) + g1*g2^9*t^8.55*y + 3*g2^4*t^8.64*y + (3*t^8.73*y)/(g1*g2) + (t^8.82*y)/(g1^2*g2^6) + g1*g2^5*t^8.91*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47230 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ | 0.7182 | 0.8876 | 0.8092 | [X:[], M:[0.8798, 0.8198, 1.0, 1.0601, 1.0, 0.8798], q:[0.5901, 0.53], qb:[0.5901, 0.4099], phi:[0.47]] | t^2.46 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.87 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.92 + 3*t^4.95 + 2*t^5.1 + 4*t^5.28 + 2*t^5.46 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail |