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 |
|---|---|---|---|---|---|---|---|---|---|
| 46008 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6432 | 0.8099 | 0.7942 | [X:[], M:[0.8333], q:[0.4167, 0.75], qb:[0.4167, 0.4167], phi:[0.5]] | [X:[], M:[[0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 247/384, c: 311/384, M1: 5/6, q1: 5/12, q2: 3/4, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | -1 | 4*t^2.5 + t^3. + 2*t^3.5 + 6*t^4. + 10*t^5. + 4*t^5.5 - t^6. + 20*t^6.5 + 16*t^7.5 + 22*t^8. - 16*t^8.5 - t^4.5/y - t^7./y + (7*t^8.)/y + (4*t^8.5)/y - t^4.5*y - t^7.*y + 7*t^8.*y + 4*t^8.5*y | 4*t^2.5 + t^3. + 2*t^3.5 + 6*t^4. + 10*t^5. + 4*t^5.5 - t^6. + 20*t^6.5 + 16*t^7.5 + 22*t^8. - 16*t^8.5 - t^4.5/y - t^7./y + (7*t^8.)/y + (4*t^8.5)/y - t^4.5*y - t^7.*y + 7*t^8.*y + 4*t^8.5*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 |
|---|---|---|---|---|---|---|---|---|
| 46100 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_2q_2\tilde{q}_1$ | 0.6576 | 0.8346 | 0.7878 | [X:[], M:[0.8333, 0.8333], q:[0.4167, 0.75], qb:[0.4167, 0.4167], phi:[0.5]] | 5*t^2.5 + t^3. + t^3.5 + 6*t^4. + 15*t^5. + 5*t^5.5 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 505/768, c: 641/768, M1: 5/6, M2: 5/6, q1: 5/12, q2: 3/4, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45881 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6434 | 0.8105 | 0.7939 | [X:[], M:[0.8275], q:[0.4225, 0.75], qb:[0.4225, 0.4051], phi:[0.5]] | 3*t^2.48 + t^2.53 + t^3. + t^3.47 + t^3.52 + t^3.93 + 2*t^3.98 + 3*t^4.03 + 6*t^4.97 + 3*t^5.02 + t^5.07 + 3*t^5.48 + t^5.53 + t^5.95 - t^6. - t^4.5/y - t^4.5*y | detail |