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 |
|---|---|---|---|---|---|---|---|---|---|
| 47895 | SU3adj1nf2 | $q_1q_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ \phi_1^2q_1\tilde{q}_2$ + $ q_2\tilde{q}_1X_2$ | 1.2917 | 1.4583 | 0.8857 | [X:[1.3333, 1.3333], M:[], q:[0.6667, 0.3333], qb:[0.3333, 0.6667], phi:[0.3333]] | [X:[[0, 0], [0, 0]], M:[], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 31/24, c: 35/24, X1: 4/3, X2: 4/3, q1: 2/3, q2: 1/3, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^3$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ X_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2^2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$ | $\phi_1^6$, $ \phi_1q_1^2q_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1^3q_2^3$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^4q_2\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^2q_2^2\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1^3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$ | 11 | 4*t^3. + 6*t^4. + 3*t^5. + 11*t^6. + 16*t^7. + 18*t^8. - t^4./y - t^5./y - (3*t^7.)/y - (6*t^8.)/y - t^4.*y - t^5.*y - 3*t^7.*y - 6*t^8.*y | 2*t^3. + (g1*t^3.)/g2 + (g2*t^3.)/g1 + 4*t^4. + (g1*t^4.)/g2 + (g2*t^4.)/g1 + t^5. + t^5./(g1^2*g2) + g1^2*g2*t^5. + t^6. + t^6./g1^3 + g1^3*t^6. + t^6./(g1*g2^2) + (g1^2*t^6.)/g2^2 + t^6./(g1^2*g2) + (g1*t^6.)/g2 + (g2*t^6.)/g1 + g1^2*g2*t^6. + (g2^2*t^6.)/g1^2 + g1*g2^2*t^6. + 6*t^7. + (g1^2*t^7.)/g2^2 + (4*g1*t^7.)/g2 + (4*g2*t^7.)/g1 + (g2^2*t^7.)/g1^2 + 10*t^8. + (g1^2*t^8.)/g2^2 + (3*g1*t^8.)/g2 + (3*g2*t^8.)/g1 + (g2^2*t^8.)/g1^2 - t^4./y - t^5./y - t^7./y - (g1*t^7.)/(g2*y) - (g2*t^7.)/(g1*y) - (4*t^8.)/y - (g1*t^8.)/(g2*y) - (g2*t^8.)/(g1*y) - t^4.*y - t^5.*y - t^7.*y - (g1*t^7.*y)/g2 - (g2*t^7.*y)/g1 - 4*t^8.*y - (g1*t^8.*y)/g2 - (g2*t^8.*y)/g1 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47869 | SU3adj1nf2 | $q_1q_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4531 | 1.6406 | 0.8857 | [X:[1.3333], M:[], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.3333]] | 5*t^3. + 5*t^4. + 4*t^5. + 4*t^5.5 + 7*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 93/64, c: 105/64, X1: 4/3, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/3} |