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 |
|---|---|---|---|---|---|---|---|---|---|
| 1777 | 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_5q_1\tilde{q}_1$ | 0.6299 | 0.819 | 0.7691 | [X:[], M:[1.0, 1.0447, 0.9106, 0.7262, 0.6816], q:[0.7612, 0.2388], qb:[0.5573, 0.5321], phi:[0.4777]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [-9, -1]], 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}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_1M_5$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_2M_5$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_2q_2\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_5q_1\tilde{q}_2$, $ M_4\phi_1q_2\tilde{q}_2$ | . | -2 | t^2.04 + t^2.18 + t^2.31 + t^2.39 + t^2.73 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^4.09 + t^4.22 + 2*t^4.36 + t^4.43 + t^4.49 + t^4.57 + 2*t^4.63 + 2*t^4.7 + 3*t^4.78 + 2*t^4.91 + 2*t^5.04 + 3*t^5.18 + t^5.25 + 2*t^5.31 + t^5.39 + t^5.45 + t^5.46 + t^5.52 + t^5.6 + 2*t^5.73 + t^5.79 + t^5.87 + t^5.92 - 2*t^6. + 2*t^6.06 - t^6.08 + 2*t^6.13 + t^6.19 + 2*t^6.27 + 2*t^6.4 + t^6.48 + 2*t^6.54 - t^6.55 + 2*t^6.61 + 3*t^6.67 - t^6.69 + 3*t^6.75 + 2*t^6.8 + t^6.82 + 2*t^6.88 + 2*t^6.94 + 2*t^6.96 + 3*t^7.01 + 5*t^7.09 + 2*t^7.16 + 4*t^7.22 + t^7.3 + 4*t^7.36 + 5*t^7.49 + t^7.51 + t^7.57 + 3*t^7.63 + 3*t^7.64 + t^7.7 + 2*t^7.76 + 4*t^7.78 + 2*t^7.84 + 4*t^7.91 + t^7.97 + 2*t^8.1 + t^8.2 + 2*t^8.24 - t^8.25 - t^8.31 + t^8.33 + 3*t^8.37 - 4*t^8.39 + 3*t^8.45 + t^8.46 + 2*t^8.51 + t^8.52 + 3*t^8.58 + t^8.6 + 3*t^8.66 + 4*t^8.71 - 3*t^8.73 + 3*t^8.79 + 3*t^8.85 - 3*t^8.87 + 3*t^8.92 - t^8.94 + 4*t^8.98 - t^4.43/y - t^6.48/y - t^6.61/y - t^7.16/y + t^7.22/y + t^7.36/y + t^7.43/y + t^7.49/y + t^7.57/y + (2*t^7.7)/y + t^7.78/y + (2*t^7.91)/y + (3*t^8.04)/y + t^8.12/y + (3*t^8.18)/y + (2*t^8.25)/y + (2*t^8.31)/y + (2*t^8.39)/y + t^8.45/y + t^8.6/y - t^8.66/y + t^8.73/y + (2*t^8.87)/y + (2*t^8.92)/y - t^4.43*y - t^6.48*y - t^6.61*y - t^7.16*y + t^7.22*y + t^7.36*y + t^7.43*y + t^7.49*y + t^7.57*y + 2*t^7.7*y + t^7.78*y + 2*t^7.91*y + 3*t^8.04*y + t^8.12*y + 3*t^8.18*y + 2*t^8.25*y + 2*t^8.31*y + 2*t^8.39*y + t^8.45*y + t^8.6*y - t^8.66*y + t^8.73*y + 2*t^8.87*y + 2*t^8.92*y | t^2.04/(g1^9*g2) + (g2^3*t^2.18)/g1^5 + (g2^7*t^2.31)/g1 + (g1^7*t^2.39)/g2 + t^2.73/(g1^8*g2^8) + t^2.87/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.13 + (g2^5*t^3.75)/g1^3 + g1*g2^9*t^3.88 + t^4.09/(g1^18*g2^2) + (g2^2*t^4.22)/g1^14 + (2*g2^6*t^4.36)/g1^10 + t^4.43/(g1^2*g2^2) + (g2^10*t^4.49)/g1^6 + g1^2*g2^2*t^4.57 + (2*g2^14*t^4.63)/g1^2 + 2*g1^6*g2^6*t^4.7 + t^4.78/(g1^17*g2^9) + (2*g1^14*t^4.78)/g2^2 + (2*t^4.91)/(g1^13*g2^5) + (2*t^5.04)/(g1^9*g2) + (3*g2^3*t^5.18)/g1^5 + (g1^3*t^5.25)/g2^5 + (2*g2^7*t^5.31)/g1 + (g1^7*t^5.39)/g2 + g1^3*g2^11*t^5.45 + t^5.46/(g1^16*g2^16) + g1^11*g2^3*t^5.52 + t^5.6/(g1^12*g2^12) + (2*t^5.73)/(g1^8*g2^8) + (g2^4*t^5.79)/g1^12 + t^5.87/(g1^4*g2^4) + (g2^8*t^5.92)/g1^8 - 2*t^6. + (2*g2^12*t^6.06)/g1^4 - (g1^8*t^6.08)/g2^8 + t^6.13/(g1^27*g2^3) + g1^4*g2^4*t^6.13 + g2^16*t^6.19 + (g2*t^6.27)/g1^23 + g1^8*g2^8*t^6.27 + (2*g2^5*t^6.4)/g1^19 + t^6.48/(g1^11*g2^3) + (2*g2^9*t^6.54)/g1^15 - t^6.55/(g1^3*g2^11) + (2*g2*t^6.61)/g1^7 + (3*g2^13*t^6.67)/g1^11 - (g1*t^6.69)/g2^7 + (3*g2^5*t^6.75)/g1^3 + (2*g2^17*t^6.8)/g1^7 + t^6.82/(g1^26*g2^10) + 2*g1*g2^9*t^6.88 + (2*g2^21*t^6.94)/g1^3 + (2*t^6.96)/(g1^22*g2^6) + 3*g1^5*g2^13*t^7.01 + (3*t^7.09)/(g1^18*g2^2) + 2*g1^13*g2^5*t^7.09 + (2*g1^21*t^7.16)/g2^3 + (4*g2^2*t^7.22)/g1^14 + t^7.3/(g1^6*g2^6) + (4*g2^6*t^7.36)/g1^10 + (5*g2^10*t^7.49)/g1^6 + t^7.51/(g1^25*g2^17) + g1^2*g2^2*t^7.57 + (3*g2^14*t^7.63)/g1^2 + (2*t^7.64)/(g1^21*g2^13) + (g1^10*t^7.64)/g2^6 + g1^6*g2^6*t^7.7 + 2*g1^2*g2^18*t^7.76 + (3*t^7.78)/(g1^17*g2^9) + (g1^14*t^7.78)/g2^2 + (g2^3*t^7.84)/g1^21 + g1^10*g2^10*t^7.84 + (3*t^7.91)/(g1^13*g2^5) + g1^18*g2^2*t^7.91 + (g2^7*t^7.97)/g1^17 + (2*g2^11*t^8.1)/g1^13 + t^8.18/(g1^36*g2^4) - (g2^3*t^8.18)/g1^5 + t^8.2/(g1^24*g2^24) + (2*g2^15*t^8.24)/g1^9 - (g1^3*t^8.25)/g2^5 + t^8.31/g1^32 - (2*g2^7*t^8.31)/g1 + t^8.33/(g1^20*g2^20) + (3*g2^19*t^8.37)/g1^5 - (4*g1^7*t^8.39)/g2 + (2*g2^4*t^8.45)/g1^28 + g1^3*g2^11*t^8.45 + (2*t^8.46)/(g1^16*g2^16) - (g1^15*t^8.46)/g2^9 + (2*g2^23*t^8.51)/g1 + t^8.52/(g1^20*g2^4) + (2*g2^8*t^8.58)/g1^24 + g1^7*g2^15*t^8.58 + t^8.6/(g1^12*g2^12) + (2*t^8.66)/g1^16 + g1^15*g2^7*t^8.66 + (4*g2^12*t^8.71)/g1^20 - (3*t^8.73)/(g1^8*g2^8) + (3*g2^4*t^8.79)/g1^12 + (3*g2^16*t^8.85)/g1^16 + t^8.87/(g1^35*g2^11) - (4*t^8.87)/(g1^4*g2^4) + (3*g2^8*t^8.92)/g1^8 - (g1^4*t^8.94)/g2^12 + (4*g2^20*t^8.98)/g1^12 - t^4.43/(g1^2*g2^2*y) - t^6.48/(g1^11*g2^3*y) - (g2*t^6.61)/(g1^7*y) - t^7.16/(g1^10*g2^10*y) + (g2^2*t^7.22)/(g1^14*y) + (g2^6*t^7.36)/(g1^10*y) + t^7.43/(g1^2*g2^2*y) + (g2^10*t^7.49)/(g1^6*y) + (g1^2*g2^2*t^7.57)/y + (2*g1^6*g2^6*t^7.7)/y + t^7.78/(g1^17*g2^9*y) + (2*t^7.91)/(g1^13*g2^5*y) + (3*t^8.04)/(g1^9*g2*y) + t^8.12/(g1*g2^9*y) + (3*g2^3*t^8.18)/(g1^5*y) + (2*g1^3*t^8.25)/(g2^5*y) + (2*g2^7*t^8.31)/(g1*y) + (2*g1^7*t^8.39)/(g2*y) + (g1^3*g2^11*t^8.45)/y - t^8.52/(g1^20*g2^4*y) + (g1^11*g2^3*t^8.52)/y + t^8.6/(g1^12*g2^12*y) - t^8.66/(g1^16*y) + t^8.73/(g1^8*g2^8*y) + (2*t^8.87)/(g1^4*g2^4*y) + (2*g2^8*t^8.92)/(g1^8*y) - (t^4.43*y)/(g1^2*g2^2) - (t^6.48*y)/(g1^11*g2^3) - (g2*t^6.61*y)/g1^7 - (t^7.16*y)/(g1^10*g2^10) + (g2^2*t^7.22*y)/g1^14 + (g2^6*t^7.36*y)/g1^10 + (t^7.43*y)/(g1^2*g2^2) + (g2^10*t^7.49*y)/g1^6 + g1^2*g2^2*t^7.57*y + 2*g1^6*g2^6*t^7.7*y + (t^7.78*y)/(g1^17*g2^9) + (2*t^7.91*y)/(g1^13*g2^5) + (3*t^8.04*y)/(g1^9*g2) + (t^8.12*y)/(g1*g2^9) + (3*g2^3*t^8.18*y)/g1^5 + (2*g1^3*t^8.25*y)/g2^5 + (2*g2^7*t^8.31*y)/g1 + (2*g1^7*t^8.39*y)/g2 + g1^3*g2^11*t^8.45*y - (t^8.52*y)/(g1^20*g2^4) + g1^11*g2^3*t^8.52*y + (t^8.6*y)/(g1^12*g2^12) - (t^8.66*y)/g1^16 + (t^8.73*y)/(g1^8*g2^8) + (2*t^8.87*y)/(g1^4*g2^4) + (2*g2^8*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 2780 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6276 | 0.8128 | 0.7721 | [X:[], M:[1.0, 1.0367, 0.9266, 0.7592, 0.7225], q:[0.7592, 0.2408], qb:[0.5183, 0.555], phi:[0.4817]] | t^2.17 + 2*t^2.28 + t^2.39 + t^2.78 + t^2.89 + t^3. + t^3.11 + t^3.83 + t^3.94 + t^4.33 + 2*t^4.44 + 5*t^4.56 + 3*t^4.67 + 2*t^4.78 + t^4.95 + 2*t^5.06 + 3*t^5.17 + 4*t^5.28 + 3*t^5.39 + t^5.5 + t^5.56 + t^5.67 + 2*t^5.78 - t^6. - t^4.44/y - t^4.44*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 |