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 |
|---|---|---|---|---|---|---|---|---|---|
| 2704 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ | 0.5983 | 0.726 | 0.8241 | [X:[1.6], M:[0.4, 1.2, 0.7567], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [1, 1]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^4$, $ X_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.27 + t^2.4 + t^3.47 + 2*t^3.54 + 2*t^3.6 + 2*t^3.66 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 2*t^5.94 - t^6. - t^6.13 + t^6.81 + 2*t^6.94 + 2*t^7.01 + 5*t^7.07 + 2*t^7.14 + 4*t^7.2 + t^7.33 + t^8.01 + 2*t^8.08 + 2*t^8.14 + 2*t^8.21 - t^8.27 - t^8.4 - 2*t^8.53 - t^4.2/y - t^6.47/y + t^7.67/y + t^7.93/y + (2*t^8.81)/y + (3*t^8.87)/y + (4*t^8.94)/y - t^4.2*y - t^6.47*y + t^7.67*y + t^7.93*y + 2*t^8.81*y + 3*t^8.87*y + 4*t^8.94*y | g1*g2*t^2.27 + t^2.4 + g1*g2*t^3.47 + (g1*t^3.54)/g2 + g2^2*t^3.54 + 2*t^3.6 + t^3.66/g2^2 + (g2*t^3.66)/g1 + g1^2*g2^2*t^4.54 + g1*g2*t^4.67 + 2*t^4.8 + g1^2*g2^2*t^5.74 + g1^2*t^5.81 + g1*g2^3*t^5.81 + 2*g1*g2*t^5.87 + (g1*t^5.94)/g2 + g2^2*t^5.94 - t^6. - t^6.13/(g1*g2) + g1^3*g2^3*t^6.81 + 2*g1^2*g2^2*t^6.94 + g1^2*t^7.01 + g1*g2^3*t^7.01 + (g1^2*t^7.07)/g2^2 + 3*g1*g2*t^7.07 + g2^4*t^7.07 + (g1*t^7.14)/g2 + g2^2*t^7.14 + 2*t^7.2 + (g1*t^7.2)/g2^3 + (g2^3*t^7.2)/g1 + t^7.33/g2^4 - t^7.33/(g1*g2) + (g2^2*t^7.33)/g1^2 + g1^3*g2^3*t^8.01 + g1^3*g2*t^8.08 + g1^2*g2^4*t^8.08 + 2*g1^2*g2^2*t^8.14 + g1^2*t^8.21 + g1*g2^3*t^8.21 - g1*g2*t^8.27 - t^8.4 - (2*t^8.53)/(g1*g2) - t^4.2/y - (g1*g2*t^6.47)/y + (g1*g2*t^7.67)/y + t^7.93/(g1*g2*y) + (g1^2*t^8.81)/y + (g1*g2^3*t^8.81)/y + (3*g1*g2*t^8.87)/y + (2*g1*t^8.94)/(g2*y) + (2*g2^2*t^8.94)/y - t^4.2*y - g1*g2*t^6.47*y + g1*g2*t^7.67*y + (t^7.93*y)/(g1*g2) + g1^2*t^8.81*y + g1*g2^3*t^8.81*y + 3*g1*g2*t^8.87*y + (2*g1*t^8.94*y)/g2 + 2*g2^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 3214 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6169 | 0.7615 | 0.8102 | [X:[1.6], M:[0.4, 1.2, 0.7434, 0.7434], q:[0.8283, 0.7717], qb:[0.4283, 0.3717], phi:[0.4]] | 2*t^2.23 + t^2.4 + 2*t^3.43 + 4*t^3.6 + 3*t^4.46 + 2*t^4.63 + 2*t^4.8 + 4*t^5.66 + 8*t^5.83 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 3213 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ | 0.615 | 0.7557 | 0.8139 | [X:[1.6], M:[0.4, 1.2, 0.7748, 0.7748], q:[0.8, 0.8], qb:[0.4252, 0.3748], phi:[0.4]] | 2*t^2.32 + t^2.4 + t^3.45 + 2*t^3.52 + 2*t^3.6 + t^3.75 + 3*t^4.65 + 2*t^4.72 + 2*t^4.8 + 2*t^5.77 + 4*t^5.85 + 4*t^5.92 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 3212 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.5981 | 0.7252 | 0.8246 | [X:[1.6], M:[0.4, 1.2, 0.7651], q:[0.8175, 0.7825], qb:[0.4175, 0.3825], phi:[0.4]] | t^2.3 + t^2.4 + 2*t^3.5 + 4*t^3.6 + t^3.7 + t^4.59 + t^4.7 + 2*t^4.8 + 2*t^5.79 + 4*t^5.9 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1704 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5805 | 0.693 | 0.8377 | [X:[1.6], M:[0.4, 1.2], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 1161/2000, c: 693/1000, X1: 8/5, M1: 2/5, M2: 6/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |