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 |
|---|---|---|---|---|---|---|---|---|---|
| 4079 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ + $ M_5M_8$ | 0.6585 | 0.7996 | 0.8235 | [X:[1.3308], M:[1.0326, 1.1128, 0.9599, 0.6692, 0.7419, 0.8145, 1.0401, 1.2581], q:[0.7782, 0.4073], qb:[0.5602, 0.4799], phi:[0.4436]] | [X:[[18]], M:[[32], [-12], [22], [-18], [-8], [2], [-22], [8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_1$, $ M_7$, $ M_2$, $ M_8$, $ q_1\tilde{q}_2$, $ X_1$, $ 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$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_6M_7$, $ M_2M_6$, $ M_7\phi_1^2$ | . | -2 | t^2.44 + t^2.66 + t^3.1 + t^3.12 + t^3.34 + 2*t^3.77 + t^3.99 + t^4.02 + t^4.21 + t^4.23 + t^4.45 + t^4.69 + t^4.89 + t^5.11 + t^5.32 + t^5.56 + t^5.78 - 2*t^6. + t^6.2 + t^6.22 + 3*t^6.44 + t^6.46 + t^6.65 + t^6.68 + 2*t^6.87 + 2*t^6.89 + t^7.11 + 2*t^7.14 + t^7.31 + t^7.33 + 2*t^7.35 + 3*t^7.55 + 2*t^7.77 + t^7.79 + t^7.81 + 3*t^7.98 + 2*t^8.01 + t^8.03 + 2*t^8.23 + t^8.42 - 2*t^8.44 + 2*t^8.47 + t^8.64 - t^8.66 + t^8.71 + t^8.9 + t^8.92 - t^4.33/y - t^6.77/y + t^7.23/y - t^7.43/y + t^7.89/y + t^8.11/y + t^8.54/y + t^8.56/y + t^8.76/y + (2*t^8.78)/y - t^4.33*y - t^6.77*y + t^7.23*y - t^7.43*y + t^7.89*y + t^8.11*y + t^8.54*y + t^8.56*y + t^8.76*y + 2*t^8.78*y | g1^2*t^2.44 + g1^12*t^2.66 + g1^32*t^3.1 + t^3.12/g1^22 + t^3.34/g1^12 + 2*g1^8*t^3.77 + g1^18*t^3.99 + t^4.02/g1^36 + g1^28*t^4.21 + t^4.23/g1^26 + t^4.45/g1^16 + t^4.69/g1^60 + g1^4*t^4.89 + g1^14*t^5.11 + g1^24*t^5.32 + t^5.56/g1^20 + t^5.78/g1^10 - 2*t^6. + g1^64*t^6.2 + g1^10*t^6.22 + 3*g1^20*t^6.44 + t^6.46/g1^34 + g1^30*t^6.65 + t^6.68/g1^24 + 2*g1^40*t^6.87 + (2*t^6.89)/g1^14 + t^7.11/g1^4 + (2*t^7.14)/g1^58 + g1^60*t^7.31 + g1^6*t^7.33 + (2*t^7.35)/g1^48 + 3*g1^16*t^7.55 + 2*g1^26*t^7.77 + t^7.79/g1^28 + t^7.81/g1^82 + 3*g1^36*t^7.98 + (2*t^8.01)/g1^18 + t^8.03/g1^72 + (2*t^8.23)/g1^8 + g1^56*t^8.42 - 2*g1^2*t^8.44 + (2*t^8.47)/g1^52 + g1^66*t^8.64 - g1^12*t^8.66 + t^8.71/g1^96 + t^8.9/g1^32 + t^8.92/g1^86 - (g1^6*t^4.33)/y - (g1^8*t^6.77)/y + t^7.23/(g1^26*y) - (g1^38*t^7.43)/y + (g1^4*t^7.89)/y + (g1^14*t^8.11)/y + (g1^34*t^8.54)/y + t^8.56/(g1^20*y) + (g1^44*t^8.76)/y + (2*t^8.78)/(g1^10*y) - g1^6*t^4.33*y - g1^8*t^6.77*y + (t^7.23*y)/g1^26 - g1^38*t^7.43*y + g1^4*t^7.89*y + g1^14*t^8.11*y + g1^34*t^8.54*y + (t^8.56*y)/g1^20 + g1^44*t^8.76*y + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 5618 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ + $ M_5M_8$ + $ M_2M_9$ | 0.6689 | 0.8172 | 0.8185 | [X:[1.3212], M:[1.0155, 1.1192, 0.9482, 0.6788, 0.7461, 0.8135, 1.0518, 1.2539, 0.8808], q:[0.7798, 0.4067], qb:[0.5778, 0.4741], phi:[0.4404]] | t^2.44 + 2*t^2.64 + t^3.05 + t^3.16 + 2*t^3.76 + t^3.96 + t^4.07 + t^4.17 + t^4.27 + t^4.48 + t^4.79 + t^4.88 + 2*t^5.08 + 3*t^5.28 + t^5.6 + t^5.69 + t^5.8 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1691 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | t^2.22 + t^2.44 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.66 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail |