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 |
|---|---|---|---|---|---|---|---|---|---|
| 45884 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6486 | 0.7977 | 0.8132 | [X:[], M:[0.6859, 0.6962], q:[0.8388, 0.4753], qb:[0.4649, 0.8079], phi:[0.3533]] | [X:[], M:[[-8, 8], [-7, 5]], q:[[3, -5], [5, -3]], qb:[[4, 0], [0, 4]], phi:[[-3, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.06 + t^2.09 + t^2.12 + t^2.82 + t^3.82 + 2*t^3.85 + t^3.88 + t^3.91 + t^4.12 + t^4.15 + 2*t^4.18 + t^4.21 + t^4.24 + t^4.88 + t^4.91 + 2*t^4.94 + t^5.64 + t^5.88 + 3*t^5.91 + 3*t^5.94 + 2*t^5.97 - t^6. - t^6.03 - t^6.06 + t^6.17 + t^6.2 + 2*t^6.23 + 2*t^6.27 + 2*t^6.3 + t^6.33 + t^6.36 + t^6.64 + 2*t^6.67 + t^6.7 + t^6.73 + t^6.94 + t^6.97 + 2*t^7. - 2*t^7.09 - t^7.12 + t^7.64 + 2*t^7.67 + 4*t^7.7 + 2*t^7.73 + 2*t^7.76 - t^7.79 + t^7.93 + 3*t^7.96 + 4*t^8. + 4*t^8.03 - 2*t^8.09 - 3*t^8.12 - 2*t^8.15 - t^8.18 + t^8.23 + t^8.26 + 2*t^8.29 + 2*t^8.32 + 3*t^8.35 + 2*t^8.39 + 2*t^8.42 + t^8.45 + t^8.46 + t^8.48 + t^8.7 + 3*t^8.73 + 3*t^8.76 + 2*t^8.79 - 2*t^8.82 - 2*t^8.85 - 2*t^8.88 + t^8.99 - t^4.06/y - t^6.12/y - t^6.15/y - t^6.18/y + t^7.15/y + t^7.18/y + t^7.21/y + t^7.88/y + t^7.91/y + (2*t^7.94)/y + t^7.97/y + t^8./y - t^8.18/y - t^8.21/y - (2*t^8.24)/y - t^8.27/y - t^8.3/y + t^8.88/y + (3*t^8.91)/y + (4*t^8.94)/y + (4*t^8.97)/y - t^4.06*y - t^6.12*y - t^6.15*y - t^6.18*y + t^7.15*y + t^7.18*y + t^7.21*y + t^7.88*y + t^7.91*y + 2*t^7.94*y + t^7.97*y + t^8.*y - t^8.18*y - t^8.21*y - 2*t^8.24*y - t^8.27*y - t^8.3*y + t^8.88*y + 3*t^8.91*y + 4*t^8.94*y + 4*t^8.97*y | (g2^8*t^2.06)/g1^8 + (g2^5*t^2.09)/g1^7 + (g2^2*t^2.12)/g1^6 + (g1^9*t^2.82)/g2^3 + g1^4*g2^4*t^3.82 + 2*g1^5*g2*t^3.85 + (g1^6*t^3.88)/g2^2 + (g1^7*t^3.91)/g2^5 + (g2^16*t^4.12)/g1^16 + (g2^13*t^4.15)/g1^15 + (2*g2^10*t^4.18)/g1^14 + (g2^7*t^4.21)/g1^13 + (g2^4*t^4.24)/g1^12 + g1*g2^5*t^4.88 + g1^2*g2^2*t^4.91 + (2*g1^3*t^4.94)/g2 + (g1^18*t^5.64)/g2^6 + (g2^12*t^5.88)/g1^4 + (3*g2^9*t^5.91)/g1^3 + (3*g2^6*t^5.94)/g1^2 + (2*g2^3*t^5.97)/g1 - t^6. - (g1*t^6.03)/g2^3 - (g1^2*t^6.06)/g2^6 + (g2^24*t^6.17)/g1^24 + (g2^21*t^6.2)/g1^23 + (2*g2^18*t^6.23)/g1^22 + (2*g2^15*t^6.27)/g1^21 + (2*g2^12*t^6.3)/g1^20 + (g2^9*t^6.33)/g1^19 + (g2^6*t^6.36)/g1^18 + g1^13*g2*t^6.64 + (2*g1^14*t^6.67)/g2^2 + (g1^15*t^6.7)/g2^5 + (g1^16*t^6.73)/g2^8 + (g2^13*t^6.94)/g1^7 + (g2^10*t^6.97)/g1^6 + (2*g2^7*t^7.)/g1^5 - (2*t^7.09)/(g1^2*g2^2) - t^7.12/(g1*g2^5) + g1^8*g2^8*t^7.64 + 2*g1^9*g2^5*t^7.67 + 4*g1^10*g2^2*t^7.7 + (2*g1^11*t^7.73)/g2 + (2*g1^12*t^7.76)/g2^4 - (g1^13*t^7.79)/g2^7 + (g2^20*t^7.93)/g1^12 + (3*g2^17*t^7.96)/g1^11 + (4*g2^14*t^8.)/g1^10 + (4*g2^11*t^8.03)/g1^9 - (2*g2^5*t^8.09)/g1^7 - (3*g2^2*t^8.12)/g1^6 - (2*t^8.15)/(g1^5*g2) - t^8.18/(g1^4*g2^4) + (g2^32*t^8.23)/g1^32 + (g2^29*t^8.26)/g1^31 + (2*g2^26*t^8.29)/g1^30 + (2*g2^23*t^8.32)/g1^29 + (3*g2^20*t^8.35)/g1^28 + (2*g2^17*t^8.39)/g1^27 + (2*g2^14*t^8.42)/g1^26 + (g2^11*t^8.45)/g1^25 + (g1^27*t^8.46)/g2^9 + (g2^8*t^8.48)/g1^24 + g1^5*g2^9*t^8.7 + 3*g1^6*g2^6*t^8.73 + 3*g1^7*g2^3*t^8.76 + 2*g1^8*t^8.79 - (2*g1^9*t^8.82)/g2^3 - (2*g1^10*t^8.85)/g2^6 - (2*g1^11*t^8.88)/g2^9 + (g2^21*t^8.99)/g1^15 - (g2*t^4.06)/(g1^3*y) - (g2^9*t^6.12)/(g1^11*y) - (g2^6*t^6.15)/(g1^10*y) - (g2^3*t^6.18)/(g1^9*y) + (g2^13*t^7.15)/(g1^15*y) + (g2^10*t^7.18)/(g1^14*y) + (g2^7*t^7.21)/(g1^13*y) + (g1*g2^5*t^7.88)/y + (g1^2*g2^2*t^7.91)/y + (2*g1^3*t^7.94)/(g2*y) + (g1^4*t^7.97)/(g2^4*y) + (g1^5*t^8.)/(g2^7*y) - (g2^17*t^8.18)/(g1^19*y) - (g2^14*t^8.21)/(g1^18*y) - (2*g2^11*t^8.24)/(g1^17*y) - (g2^8*t^8.27)/(g1^16*y) - (g2^5*t^8.3)/(g1^15*y) + (g2^12*t^8.88)/(g1^4*y) + (3*g2^9*t^8.91)/(g1^3*y) + (4*g2^6*t^8.94)/(g1^2*y) + (4*g2^3*t^8.97)/(g1*y) - (g2*t^4.06*y)/g1^3 - (g2^9*t^6.12*y)/g1^11 - (g2^6*t^6.15*y)/g1^10 - (g2^3*t^6.18*y)/g1^9 + (g2^13*t^7.15*y)/g1^15 + (g2^10*t^7.18*y)/g1^14 + (g2^7*t^7.21*y)/g1^13 + g1*g2^5*t^7.88*y + g1^2*g2^2*t^7.91*y + (2*g1^3*t^7.94*y)/g2 + (g1^4*t^7.97*y)/g2^4 + (g1^5*t^8.*y)/g2^7 - (g2^17*t^8.18*y)/g1^19 - (g2^14*t^8.21*y)/g1^18 - (2*g2^11*t^8.24*y)/g1^17 - (g2^8*t^8.27*y)/g1^16 - (g2^5*t^8.3*y)/g1^15 + (g2^12*t^8.88*y)/g1^4 + (3*g2^9*t^8.91*y)/g1^3 + (4*g2^6*t^8.94*y)/g1^2 + (4*g2^3*t^8.97*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46075 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ | 0.5614 | 0.6887 | 0.8152 | [X:[], M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]] | t^2.33 + t^2.44 + t^2.81 + 2*t^3.19 + t^3.56 + 2*t^3.93 + t^4.3 + t^4.67 + 2*t^4.78 + t^4.89 + t^5.15 + 2*t^5.52 + t^5.63 + t^5.89 - t^4.22/y - t^4.22*y | detail | |
| 46070 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1^2$ | 0.5879 | 0.7149 | 0.8223 | [X:[], M:[1.0, 0.8831], q:[0.6331, 0.3669], qb:[0.4837, 0.9837], phi:[0.3831]] | t^2.3 + t^2.55 + t^2.65 + t^3. + t^3.35 + t^3.7 + 2*t^4.05 + t^4.4 + t^4.6 + 2*t^4.85 + t^4.95 + t^5.1 + t^5.2 + t^5.3 + t^5.55 + t^5.9 - t^4.15/y - t^4.15*y | detail | |
| 45990 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2$ | 0.6283 | 0.7599 | 0.8268 | [X:[], M:[0.6894, 0.7014, 1.2867], q:[0.8396, 0.471], qb:[0.459, 0.8037], phi:[0.3567]] | t^2.07 + t^2.1 + t^2.79 + t^3.79 + 2*t^3.82 + 2*t^3.86 + t^3.9 + t^4.14 + t^4.17 + t^4.21 + t^4.86 + t^4.89 + t^4.93 + t^5.58 + t^5.86 + 3*t^5.89 + 3*t^5.93 + t^5.96 - 2*t^6. - t^4.07/y - t^4.07*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45854 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ | 0.6487 | 0.7983 | 0.8127 | [X:[], M:[0.6881, 0.6881], q:[0.8426, 0.4693], qb:[0.4693, 0.8036], phi:[0.3538]] | 2*t^2.06 + t^2.12 + t^2.82 + 2*t^3.82 + 3*t^3.88 + 3*t^4.13 + 2*t^4.19 + t^4.25 + 2*t^4.88 + 2*t^4.94 + t^5.63 + 4*t^5.88 + 6*t^5.94 - 2*t^6. - t^4.06/y - t^4.06*y | detail |