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 |
|---|---|---|---|---|---|---|---|---|---|
| 4047 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_1M_8$ | 0.6807 | 0.8426 | 0.8079 | [X:[], M:[1.034, 1.1122, 0.9609, 0.6684, 0.8878, 0.7415, 1.2585, 0.966], q:[0.7781, 0.4073], qb:[0.5587, 0.4804], phi:[0.4439]] | [X:[], M:[[32], [-12], [22], [-18], [12], [-8], [8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_8$, $ q_1q_2$, $ M_7$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_4M_8$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_4q_1q_2$, $ M_4M_7$, $ M_3M_8$, $ M_4q_1\tilde{q}_2$, $ M_8^2$ | . | -3 | t^2.01 + 2*t^2.66 + t^2.88 + t^2.9 + t^3.56 + 2*t^3.78 + 2*t^4.01 + t^4.21 + t^4.23 + t^4.45 + 2*t^4.67 + t^4.68 + t^4.89 + t^4.9 + 3*t^5.33 + t^5.55 + 3*t^5.56 + 2*t^5.78 + t^5.8 - 3*t^6. + 2*t^6.02 + t^6.22 + 4*t^6.44 + t^6.45 + t^6.66 + 4*t^6.67 + t^6.69 + t^6.88 + 2*t^6.89 + 2*t^6.91 + t^7.11 + t^7.13 + 3*t^7.33 + 2*t^7.35 + t^7.55 + 3*t^7.57 + t^7.58 + 2*t^7.79 + t^7.8 + 5*t^7.99 - 2*t^8.01 + 2*t^8.02 + t^8.21 + 4*t^8.22 + t^8.24 + 2*t^8.44 + 5*t^8.46 + t^8.65 - 5*t^8.66 + 3*t^8.68 + 3*t^8.69 - 2*t^8.88 - 2*t^8.9 + 3*t^8.91 - t^4.33/y - t^6.34/y - t^6.99/y - t^7.21/y + t^7.45/y + (3*t^7.67)/y + t^7.89/y + t^7.9/y + (2*t^8.33)/y - t^8.34/y + (2*t^8.55)/y + (3*t^8.56)/y + (3*t^8.78)/y - t^4.33*y - t^6.34*y - t^6.99*y - t^7.21*y + t^7.45*y + 3*t^7.67*y + t^7.89*y + t^7.9*y + 2*t^8.33*y - t^8.34*y + 2*t^8.55*y + 3*t^8.56*y + 3*t^8.78*y | t^2.01/g1^18 + 2*g1^12*t^2.66 + g1^22*t^2.88 + t^2.9/g1^32 + t^3.56/g1^2 + 2*g1^8*t^3.78 + (2*t^4.01)/g1^36 + g1^28*t^4.21 + t^4.23/g1^26 + t^4.45/g1^16 + (2*t^4.67)/g1^6 + t^4.68/g1^60 + g1^4*t^4.89 + t^4.9/g1^50 + 3*g1^24*t^5.33 + g1^34*t^5.55 + (3*t^5.56)/g1^20 + (2*t^5.78)/g1^10 + t^5.8/g1^64 - 3*t^6. + (2*t^6.02)/g1^54 + g1^10*t^6.22 + 4*g1^20*t^6.44 + t^6.45/g1^34 + g1^30*t^6.66 + (4*t^6.67)/g1^24 + t^6.69/g1^78 + g1^40*t^6.88 + (2*t^6.89)/g1^14 + (2*t^6.91)/g1^68 + t^7.11/g1^4 + t^7.13/g1^58 + 3*g1^6*t^7.33 + (2*t^7.35)/g1^48 + g1^16*t^7.55 + (3*t^7.57)/g1^38 + t^7.58/g1^92 + (2*t^7.79)/g1^28 + t^7.8/g1^82 + 5*g1^36*t^7.99 - (2*t^8.01)/g1^18 + (2*t^8.02)/g1^72 + g1^46*t^8.21 + (4*t^8.22)/g1^8 + t^8.24/g1^62 + 2*g1^2*t^8.44 + (5*t^8.46)/g1^52 + g1^66*t^8.65 - 5*g1^12*t^8.66 + (3*t^8.68)/g1^42 + (3*t^8.69)/g1^96 - 2*g1^22*t^8.88 - (2*t^8.9)/g1^32 + (3*t^8.91)/g1^86 - (g1^6*t^4.33)/y - t^6.34/(g1^12*y) - (g1^18*t^6.99)/y - (g1^28*t^7.21)/y + t^7.45/(g1^16*y) + (3*t^7.67)/(g1^6*y) + (g1^4*t^7.89)/y + t^7.9/(g1^50*y) + (2*g1^24*t^8.33)/y - t^8.34/(g1^30*y) + (2*g1^34*t^8.55)/y + (3*t^8.56)/(g1^20*y) + (3*t^8.78)/(g1^10*y) - g1^6*t^4.33*y - (t^6.34*y)/g1^12 - g1^18*t^6.99*y - g1^28*t^7.21*y + (t^7.45*y)/g1^16 + (3*t^7.67*y)/g1^6 + g1^4*t^7.89*y + (t^7.9*y)/g1^50 + 2*g1^24*t^8.33*y - (t^8.34*y)/g1^30 + 2*g1^34*t^8.55*y + (3*t^8.56*y)/g1^20 + (3*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 5606 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_1M_8$ + $ M_9q_1q_2$ | 0.6963 | 0.8697 | 0.8006 | [X:[], M:[1.0321, 1.113, 0.9596, 0.6694, 0.887, 0.742, 1.258, 0.9679, 0.8145], q:[0.7782, 0.4073], qb:[0.5606, 0.4798], phi:[0.4435]] | t^2.01 + t^2.44 + 2*t^2.66 + t^2.88 + t^2.9 + 2*t^3.77 + 2*t^4.02 + t^4.21 + t^4.23 + 2*t^4.45 + 2*t^4.67 + t^4.69 + 2*t^4.89 + t^4.91 + 2*t^5.1 + 4*t^5.32 + t^5.35 + t^5.54 + 2*t^5.56 + 2*t^5.78 + t^5.81 - 3*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1651 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ | 0.6796 | 0.8399 | 0.8092 | [X:[], M:[0.9879, 1.1295, 0.9292, 0.6943, 0.8705, 0.753, 1.247], q:[0.7824, 0.4059], qb:[0.6062, 0.4646], phi:[0.4352]] | t^2.08 + 2*t^2.61 + t^2.79 + t^2.96 + t^3.56 + 2*t^3.74 + t^4.09 + 2*t^4.17 + t^4.34 + t^4.52 + 2*t^4.69 + t^4.87 + t^4.94 + t^5.05 + 3*t^5.22 + t^5.4 + 2*t^5.58 + t^5.65 + t^5.75 + t^5.82 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*y | detail |