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 |
|---|---|---|---|---|---|---|---|---|---|
| 742 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6476 | 0.8091 | 0.8003 | [X:[], M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]] | [X:[], M:[[6], [-14], [-6], [16], [-4]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_5$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_1$ | $M_2q_1\tilde{q}_2$ | 0 | t^2.32 + 2*t^2.38 + t^2.43 + t^2.49 + 2*t^3.57 + t^3.68 + t^3.74 + t^4.64 + 2*t^4.7 + 4*t^4.75 + 4*t^4.81 + 3*t^4.87 + t^4.92 + t^4.98 + t^5.89 + 2*t^5.94 + 3*t^6.06 + 2*t^6.11 + 2*t^6.17 + t^6.23 + t^6.96 + 2*t^7.02 + 3*t^7.08 + 8*t^7.13 + 4*t^7.19 + 4*t^7.25 + 4*t^7.3 + 3*t^7.36 + 2*t^7.41 + 2*t^7.47 + t^8.21 - t^8.38 + t^8.49 + 5*t^8.55 + 3*t^8.6 + 2*t^8.66 + t^8.72 - t^4.19/y - t^6.51/y - (2*t^6.57)/y - t^6.68/y + (3*t^7.7)/y + (2*t^7.75)/y + (5*t^7.81)/y + (3*t^7.87)/y + t^7.92/y - t^8.83/y + t^8.94/y - t^4.19*y - t^6.51*y - 2*t^6.57*y - t^6.68*y + 3*t^7.7*y + 2*t^7.75*y + 5*t^7.81*y + 3*t^7.87*y + t^7.92*y - t^8.83*y + t^8.94*y | t^2.32/g1^14 + (2*t^2.38)/g1^4 + g1^6*t^2.43 + g1^16*t^2.49 + (2*t^3.57)/g1^6 + g1^14*t^3.68 + g1^24*t^3.74 + t^4.64/g1^28 + (2*t^4.7)/g1^18 + (4*t^4.75)/g1^8 + 4*g1^2*t^4.81 + 3*g1^12*t^4.87 + g1^22*t^4.92 + g1^32*t^4.98 + t^5.89/g1^20 + (2*t^5.94)/g1^10 + 3*g1^10*t^6.06 + 2*g1^20*t^6.11 + 2*g1^30*t^6.17 + g1^40*t^6.23 + t^6.96/g1^42 + (2*t^7.02)/g1^32 + (3*t^7.08)/g1^22 + (8*t^7.13)/g1^12 + (4*t^7.19)/g1^2 + 4*g1^8*t^7.25 + 4*g1^18*t^7.3 + 3*g1^28*t^7.36 + 2*g1^38*t^7.41 + 2*g1^48*t^7.47 + t^8.21/g1^34 - t^8.38/g1^4 + g1^16*t^8.49 + 5*g1^26*t^8.55 + 3*g1^36*t^8.6 + 2*g1^46*t^8.66 + g1^56*t^8.72 - t^4.19/(g1^2*y) - t^6.51/(g1^16*y) - (2*t^6.57)/(g1^6*y) - (g1^14*t^6.68)/y + (3*t^7.7)/(g1^18*y) + (2*t^7.75)/(g1^8*y) + (5*g1^2*t^7.81)/y + (3*g1^12*t^7.87)/y + (g1^22*t^7.92)/y - t^8.83/(g1^30*y) + t^8.94/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.51*y)/g1^16 - (2*t^6.57*y)/g1^6 - g1^14*t^6.68*y + (3*t^7.7*y)/g1^18 + (2*t^7.75*y)/g1^8 + 5*g1^2*t^7.81*y + 3*g1^12*t^7.87*y + g1^22*t^7.92*y - (t^8.83*y)/g1^30 + (t^8.94*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1219 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.667 | 0.8452 | 0.7893 | [X:[], M:[0.8186, 0.7565, 1.1814, 0.8497, 0.7876, 0.7254], q:[0.8031, 0.8031], qb:[0.3783, 0.4404], phi:[0.3938]] | t^2.18 + t^2.27 + 2*t^2.36 + t^2.46 + t^2.55 + 2*t^3.54 + t^3.73 + t^4.35 + t^4.45 + 3*t^4.54 + 3*t^4.63 + 5*t^4.73 + 4*t^4.82 + 3*t^4.91 + t^5.01 + t^5.1 + 2*t^5.72 + t^5.81 + 3*t^5.91 - t^4.18/y - t^4.18*y | detail | |
| 1988 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6659 | 0.842 | 0.7909 | [X:[], M:[0.8176, 0.7588, 1.1824, 0.847, 0.7882, 0.7588], q:[0.8029, 0.8029], qb:[0.3794, 0.4382], phi:[0.3941]] | 2*t^2.28 + 2*t^2.36 + t^2.45 + t^2.54 + 2*t^3.55 + t^3.81 + 3*t^4.55 + 4*t^4.64 + 5*t^4.73 + 5*t^4.82 + 3*t^4.91 + t^4.99 + t^5.08 + 3*t^5.82 + 2*t^5.91 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 442 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.6307 | 0.7795 | 0.809 | [X:[], M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.34 + t^2.38 + t^2.43 + t^2.47 + 2*t^3.57 + t^3.62 + t^3.66 + t^3.71 + t^4.67 + t^4.72 + 2*t^4.76 + 3*t^4.81 + 2*t^4.85 + t^4.9 + t^4.94 + t^5.91 + t^5.96 + t^6. - t^4.19/y - t^4.19*y | detail |