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 |
|---|---|---|---|---|---|---|---|---|---|
| 484 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.7048, 0.7048, 0.6889, 0.6942, 1.2952], q:[0.8172, 0.8331], qb:[0.4781, 0.4728], phi:[0.3497]] | [X:[], M:[[1, -5], [1, -5], [-8, 4], [-5, 1], [-1, 5]], q:[[-4, 5], [5, -4]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_1M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ M_3M_5$, $ M_4q_1\tilde{q}_2$, $ M_4M_5$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | $M_4q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.07 + t^2.08 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.89 + t^3.9 + t^3.92 + t^4.13 + t^4.15 + 2*t^4.16 + 2*t^4.18 + 2*t^4.2 + t^4.21 + t^4.23 + t^4.92 + t^4.93 + 2*t^4.95 + t^4.97 + t^5.7 + t^5.94 + 2*t^5.95 + 2*t^5.97 + 2*t^5.98 + t^6.2 + t^6.22 + 2*t^6.23 + 3*t^6.25 + 3*t^6.26 + 3*t^6.28 + 3*t^6.3 + 2*t^6.31 + t^6.33 + t^6.34 + t^6.72 + t^6.74 + t^6.75 + t^6.77 + t^6.99 + t^7. + 2*t^7.02 + t^7.03 + t^7.05 + t^7.74 + t^7.76 + 2*t^7.77 + t^7.79 + t^7.8 + t^8. + 2*t^8.02 + 3*t^8.03 + 3*t^8.05 + t^8.07 - t^8.08 - t^8.1 - 2*t^8.11 - t^8.13 + t^8.27 + t^8.28 + 2*t^8.3 + 3*t^8.31 + 4*t^8.33 + 4*t^8.35 + 5*t^8.36 + 4*t^8.38 + 4*t^8.39 + 3*t^8.41 + 2*t^8.43 + t^8.44 + t^8.46 + t^8.56 + t^8.79 + 2*t^8.8 + 2*t^8.82 + t^8.84 - t^8.85 - t^8.87 - t^8.88 - t^4.05/y - t^6.12/y - t^6.13/y - t^6.15/y - t^6.16/y + t^7.15/y + t^7.16/y + (2*t^7.18)/y + t^7.2/y + t^7.21/y + t^7.92/y + (2*t^7.93)/y + (2*t^7.95)/y + (2*t^7.97)/y + t^7.98/y - t^8.18/y - t^8.2/y - (2*t^8.21)/y - (2*t^8.23)/y - (2*t^8.25)/y - t^8.26/y - t^8.28/y + t^8.94/y + (2*t^8.95)/y + (3*t^8.97)/y + (4*t^8.98)/y - t^4.05*y - t^6.12*y - t^6.13*y - t^6.15*y - t^6.16*y + t^7.15*y + t^7.16*y + 2*t^7.18*y + t^7.2*y + t^7.21*y + t^7.92*y + 2*t^7.93*y + 2*t^7.95*y + 2*t^7.97*y + t^7.98*y - t^8.18*y - t^8.2*y - 2*t^8.21*y - 2*t^8.23*y - 2*t^8.25*y - t^8.26*y - t^8.28*y + t^8.94*y + 2*t^8.95*y + 3*t^8.97*y + 4*t^8.98*y | (g2^4*t^2.07)/g1^8 + (g2*t^2.08)/g1^5 + t^2.1/(g1^2*g2^2) + (g1*t^2.11)/g2^5 + g1^3*g2^3*t^2.85 + (g2^8*t^3.87)/g1^4 + (g2^5*t^3.89)/g1 + g1^2*g2^2*t^3.9 + (g1^5*t^3.92)/g2 + (g2^8*t^4.13)/g1^16 + (g2^5*t^4.15)/g1^13 + (2*g2^2*t^4.16)/g1^10 + (2*t^4.18)/(g1^7*g2) + (2*t^4.2)/(g1^4*g2^4) + t^4.21/(g1*g2^7) + (g1^2*t^4.23)/g2^10 + (g2^7*t^4.92)/g1^5 + (g2^4*t^4.93)/g1^2 + 2*g1*g2*t^4.95 + (g1^4*t^4.97)/g2^2 + g1^6*g2^6*t^5.7 + (g2^12*t^5.94)/g1^12 + (2*g2^9*t^5.95)/g1^9 + (2*g2^6*t^5.97)/g1^6 + (2*g2^3*t^5.98)/g1^3 + (g2^12*t^6.2)/g1^24 + (g2^9*t^6.22)/g1^21 + (2*g2^6*t^6.23)/g1^18 + (3*g2^3*t^6.25)/g1^15 + (3*t^6.26)/g1^12 + (3*t^6.28)/(g1^9*g2^3) + (3*t^6.3)/(g1^6*g2^6) + (2*t^6.31)/(g1^3*g2^9) + t^6.33/g2^12 + (g1^3*t^6.34)/g2^15 + (g2^11*t^6.72)/g1 + g1^2*g2^8*t^6.74 + g1^5*g2^5*t^6.75 + g1^8*g2^2*t^6.77 + (g2^11*t^6.99)/g1^13 + (g2^8*t^7.)/g1^10 + (2*g2^5*t^7.02)/g1^7 + (g2^2*t^7.03)/g1^4 + t^7.05/(g1*g2) + (g2^16*t^7.74)/g1^8 + (g2^13*t^7.76)/g1^5 + (2*g2^10*t^7.77)/g1^2 + g1*g2^7*t^7.79 + g1^4*g2^4*t^7.8 + (g2^16*t^8.)/g1^20 + (2*g2^13*t^8.02)/g1^17 + (3*g2^10*t^8.03)/g1^14 + (3*g2^7*t^8.05)/g1^11 + (g2^4*t^8.07)/g1^8 - (g2*t^8.08)/g1^5 - t^8.1/(g1^2*g2^2) - (2*g1*t^8.11)/g2^5 - (g1^4*t^8.13)/g2^8 + (g2^16*t^8.27)/g1^32 + (g2^13*t^8.28)/g1^29 + (2*g2^10*t^8.3)/g1^26 + (3*g2^7*t^8.31)/g1^23 + (4*g2^4*t^8.33)/g1^20 + (4*g2*t^8.35)/g1^17 + (5*t^8.36)/(g1^14*g2^2) + (4*t^8.38)/(g1^11*g2^5) + (4*t^8.39)/(g1^8*g2^8) + (3*t^8.41)/(g1^5*g2^11) + (2*t^8.43)/(g1^2*g2^14) + (g1*t^8.44)/g2^17 + (g1^4*t^8.46)/g2^20 + g1^9*g2^9*t^8.56 + (g2^15*t^8.79)/g1^9 + (2*g2^12*t^8.8)/g1^6 + (2*g2^9*t^8.82)/g1^3 + g2^6*t^8.84 - g1^3*g2^3*t^8.85 - g1^6*t^8.87 - (g1^9*t^8.88)/g2^3 - t^4.05/(g1*g2*y) - (g2^3*t^6.12)/(g1^9*y) - t^6.13/(g1^6*y) - t^6.15/(g1^3*g2^3*y) - t^6.16/(g2^6*y) + (g2^5*t^7.15)/(g1^13*y) + (g2^2*t^7.16)/(g1^10*y) + (2*t^7.18)/(g1^7*g2*y) + t^7.2/(g1^4*g2^4*y) + t^7.21/(g1*g2^7*y) + (g2^7*t^7.92)/(g1^5*y) + (2*g2^4*t^7.93)/(g1^2*y) + (2*g1*g2*t^7.95)/y + (2*g1^4*t^7.97)/(g2^2*y) + (g1^7*t^7.98)/(g2^5*y) - (g2^7*t^8.18)/(g1^17*y) - (g2^4*t^8.2)/(g1^14*y) - (2*g2*t^8.21)/(g1^11*y) - (2*t^8.23)/(g1^8*g2^2*y) - (2*t^8.25)/(g1^5*g2^5*y) - t^8.26/(g1^2*g2^8*y) - (g1*t^8.28)/(g2^11*y) + (g2^12*t^8.94)/(g1^12*y) + (2*g2^9*t^8.95)/(g1^9*y) + (3*g2^6*t^8.97)/(g1^6*y) + (4*g2^3*t^8.98)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (g2^3*t^6.12*y)/g1^9 - (t^6.13*y)/g1^6 - (t^6.15*y)/(g1^3*g2^3) - (t^6.16*y)/g2^6 + (g2^5*t^7.15*y)/g1^13 + (g2^2*t^7.16*y)/g1^10 + (2*t^7.18*y)/(g1^7*g2) + (t^7.2*y)/(g1^4*g2^4) + (t^7.21*y)/(g1*g2^7) + (g2^7*t^7.92*y)/g1^5 + (2*g2^4*t^7.93*y)/g1^2 + 2*g1*g2*t^7.95*y + (2*g1^4*t^7.97*y)/g2^2 + (g1^7*t^7.98*y)/g2^5 - (g2^7*t^8.18*y)/g1^17 - (g2^4*t^8.2*y)/g1^14 - (2*g2*t^8.21*y)/g1^11 - (2*t^8.23*y)/(g1^8*g2^2) - (2*t^8.25*y)/(g1^5*g2^5) - (t^8.26*y)/(g1^2*g2^8) - (g1*t^8.28*y)/g2^11 + (g2^12*t^8.94*y)/g1^12 + (2*g2^9*t^8.95*y)/g1^9 + (3*g2^6*t^8.97*y)/g1^6 + (4*g2^3*t^8.98*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 772 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ | 0.5822 | 0.7285 | 0.7991 | [X:[], M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]] | t^2.05 + t^2.35 + t^2.43 + t^2.81 + 2*t^3.19 + t^3.57 + t^3.95 + t^4.11 + t^4.32 + t^4.41 + t^4.49 + t^4.7 + 2*t^4.78 + 2*t^4.86 + t^5.16 + 2*t^5.24 + 2*t^5.54 + 2*t^5.62 + t^5.92 + t^6. - t^4.22/y - t^4.22*y | detail | |
| 774 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_5M_6$ | 0.6895 | 0.8745 | 0.7885 | [X:[], M:[0.6972, 0.6972, 0.6907, 0.6929, 1.3028, 0.6972], q:[0.823, 0.8295], qb:[0.4798, 0.4777], phi:[0.3475]] | t^2.07 + t^2.08 + 3*t^2.09 + t^2.87 + t^3.9 + t^3.91 + t^3.92 + t^4.14 + t^4.15 + 5*t^4.16 + 3*t^4.17 + 5*t^4.18 + t^4.94 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.97 + t^5.98 + 3*t^5.99 - t^6. - t^4.04/y - t^4.04*y | detail | |
| 1861 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_6q_2\tilde{q}_2$ | 0.6896 | 0.8756 | 0.7876 | [X:[], M:[0.7038, 0.7038, 0.6833, 0.6901, 1.2962, 0.6901], q:[0.8155, 0.836], qb:[0.4807, 0.4739], phi:[0.3485]] | t^2.05 + 2*t^2.07 + t^2.09 + t^2.11 + t^2.86 + t^3.87 + t^3.89 + t^3.91 + t^4.1 + 2*t^4.12 + 4*t^4.14 + 3*t^4.16 + 3*t^4.18 + t^4.2 + t^4.22 + t^4.91 + 2*t^4.93 + 2*t^4.95 + t^4.98 + t^5.73 + t^5.92 + 3*t^5.94 + 3*t^5.96 + 2*t^5.98 - t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 310 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ | 0.6693 | 0.8377 | 0.7989 | [X:[], M:[0.6919, 0.7273, 0.6919, 0.6801, 1.2727], q:[0.8241, 0.8241], qb:[0.4841, 0.4605], phi:[0.3518]] | t^2.04 + 2*t^2.08 + t^2.11 + t^2.83 + t^3.82 + 2*t^3.85 + t^3.89 + t^4.08 + 2*t^4.12 + 4*t^4.15 + 2*t^4.19 + t^4.22 + t^4.87 + 2*t^4.91 + 2*t^4.94 + t^5.67 + t^5.86 + 4*t^5.89 + 5*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.06/y - t^4.06*y | detail |