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 |
|---|---|---|---|---|---|---|---|---|---|
| 3372 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ | 0.6831 | 0.8497 | 0.8039 | [X:[], M:[0.669, 1.1103, 0.9644, 0.7402, 1.0356, 1.0391], q:[0.7776, 0.5535], qb:[0.4822, 0.4075], phi:[0.4448]] | [X:[], M:[[36], [-12], [22], [-8], [-22], [32]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_6$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_4M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_6\phi_1^2$ | . | -1 | t^2.01 + t^2.22 + t^2.67 + t^3.11 + t^3.12 + t^3.33 + t^3.56 + t^3.78 + t^4. + t^4.01 + t^4.22 + 2*t^4.23 + 2*t^4.44 + t^4.66 + t^4.68 + t^4.89 + t^5.11 + t^5.12 + t^5.33 + 3*t^5.34 + t^5.55 + t^5.78 + t^5.79 - t^6. + t^6.01 + t^6.02 + 2*t^6.22 + 3*t^6.23 + t^6.44 + 4*t^6.45 + 3*t^6.66 + t^6.67 + t^6.68 + t^6.88 + t^6.89 + 2*t^6.9 + t^7.11 + t^7.12 + t^7.13 + t^7.32 + 2*t^7.33 + 4*t^7.34 + t^7.55 + 4*t^7.56 + t^7.76 + t^7.77 + t^7.78 + t^7.79 + t^8. + t^8.01 + t^8.02 + t^8.03 - 2*t^8.22 + 2*t^8.23 + 3*t^8.24 + 2*t^8.44 + 6*t^8.46 + t^8.66 + 3*t^8.67 + t^8.68 + t^8.69 + t^8.87 + 3*t^8.88 + 2*t^8.9 - t^4.33/y - t^6.34/y - t^6.56/y + t^7.22/y + t^7.23/y - t^7.45/y + t^7.68/y + t^7.89/y + (2*t^8.11)/y + t^8.12/y + (2*t^8.33)/y + (2*t^8.34)/y - t^8.35/y + t^8.55/y + t^8.78/y + (2*t^8.79)/y - t^4.33*y - t^6.34*y - t^6.56*y + t^7.22*y + t^7.23*y - t^7.45*y + t^7.68*y + t^7.89*y + 2*t^8.11*y + t^8.12*y + 2*t^8.33*y + 2*t^8.34*y - t^8.35*y + t^8.55*y + t^8.78*y + 2*t^8.79*y | g1^36*t^2.01 + t^2.22/g1^8 + g1^12*t^2.67 + t^3.11/g1^22 + g1^32*t^3.12 + t^3.33/g1^12 + t^3.56/g1^2 + g1^8*t^3.78 + g1^18*t^4. + g1^72*t^4.01 + t^4.22/g1^26 + 2*g1^28*t^4.23 + (2*t^4.44)/g1^16 + t^4.66/g1^60 + g1^48*t^4.68 + g1^4*t^4.89 + g1^14*t^5.11 + g1^68*t^5.12 + t^5.33/g1^30 + 3*g1^24*t^5.34 + t^5.55/g1^20 + t^5.78/g1^10 + g1^44*t^5.79 - t^6. + g1^54*t^6.01 + g1^108*t^6.02 + 2*g1^10*t^6.22 + 3*g1^64*t^6.23 + t^6.44/g1^34 + 4*g1^20*t^6.45 + (3*t^6.66)/g1^24 + g1^30*t^6.67 + g1^84*t^6.68 + t^6.88/g1^68 + t^6.89/g1^14 + 2*g1^40*t^6.9 + t^7.11/g1^4 + g1^50*t^7.12 + g1^104*t^7.13 + t^7.32/g1^48 + 2*g1^6*t^7.33 + 4*g1^60*t^7.34 + t^7.55/g1^38 + 4*g1^16*t^7.56 + t^7.76/g1^82 + t^7.77/g1^28 + g1^26*t^7.78 + g1^80*t^7.79 + t^8./g1^18 + g1^36*t^8.01 + g1^90*t^8.02 + g1^144*t^8.03 - (2*t^8.22)/g1^8 + 2*g1^46*t^8.23 + 3*g1^100*t^8.24 + 2*g1^2*t^8.44 + 6*g1^56*t^8.46 + t^8.66/g1^42 + 3*g1^12*t^8.67 + g1^66*t^8.68 + g1^120*t^8.69 + t^8.87/g1^86 + (3*t^8.88)/g1^32 + 2*g1^76*t^8.9 - (g1^6*t^4.33)/y - (g1^42*t^6.34)/y - t^6.56/(g1^2*y) + t^7.22/(g1^26*y) + (g1^28*t^7.23)/y - (g1^38*t^7.45)/y + (g1^48*t^7.68)/y + (g1^4*t^7.89)/y + (2*g1^14*t^8.11)/y + (g1^68*t^8.12)/y + (2*t^8.33)/(g1^30*y) + (2*g1^24*t^8.34)/y - (g1^78*t^8.35)/y + t^8.55/(g1^20*y) + t^8.78/(g1^10*y) + (2*g1^44*t^8.79)/y - g1^6*t^4.33*y - g1^42*t^6.34*y - (t^6.56*y)/g1^2 + (t^7.22*y)/g1^26 + g1^28*t^7.23*y - g1^38*t^7.45*y + g1^48*t^7.68*y + g1^4*t^7.89*y + 2*g1^14*t^8.11*y + g1^68*t^8.12*y + (2*t^8.33*y)/g1^30 + 2*g1^24*t^8.34*y - g1^78*t^8.35*y + (t^8.55*y)/g1^20 + (t^8.78*y)/g1^10 + 2*g1^44*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 3844 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.7026 | 0.8853 | 0.7936 | [X:[], M:[0.673, 1.109, 0.9668, 0.7393, 1.0332, 1.0426, 0.7393], q:[0.7773, 0.5498], qb:[0.4834, 0.4076], phi:[0.4455]] | t^2.02 + 2*t^2.22 + t^2.67 + t^3.1 + t^3.13 + t^3.33 + t^3.55 + t^4.01 + t^4.04 + t^4.21 + 3*t^4.24 + 4*t^4.44 + t^4.64 + t^4.69 + 2*t^4.89 + t^5.12 + t^5.15 + 2*t^5.32 + 4*t^5.35 + 2*t^5.55 + 2*t^5.77 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2829 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ | 0.6884 | 0.8584 | 0.802 | [X:[], M:[0.7083, 1.0972, 0.9884, 0.7315, 1.0116], q:[0.7743, 0.5174], qb:[0.4942, 0.4086], phi:[0.4514]] | t^2.12 + t^2.19 + t^2.71 + t^2.78 + t^3.03 + t^3.29 + t^3.55 + t^3.81 + t^4.06 + t^4.13 + t^4.25 + 2*t^4.32 + 2*t^4.39 + t^4.46 + t^4.83 + 2*t^4.9 + t^4.97 + t^5.16 + t^5.23 + 2*t^5.42 + 2*t^5.49 + t^5.56 + t^5.74 + t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail |