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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 0, 0]], M:[], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 | {a: 93/64, c: 105/64, X1: 4/3, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/3} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^3$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1^2q_2$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^6$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^3q_1\tilde{q}_2$, $ \phi_1^3q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$ | 7 | 5*t^3. + 5*t^4. + 4*t^5. + 4*t^5.5 + 7*t^6. + 4*t^6.5 + 18*t^7. + 4*t^7.5 + 24*t^8. + 4*t^8.5 - t^4./y - t^5./y - (5*t^7.)/y - (5*t^8.)/y - t^4.*y - t^5.*y - 5*t^7.*y - 5*t^8.*y | t^3. + t^3./(g1*g2) + g1*g2*t^3. + t^3./(g1*g3) + g1*g3*t^3. + t^4. + t^4./(g1*g2) + g1*g2*t^4. + t^4./(g1*g3) + g1*g3*t^4. + t^5./(g1*g2) + g1*g2*t^5. + t^5./(g1*g3) + g1*g3*t^5. + t^5.5/(g1*g2^2*g3^2) + (g1*t^5.5)/(g2*g3) + g2^2*g3*t^5.5 + g2*g3^2*t^5.5 - t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + g1*g2*t^6. + g1^2*g2^2*t^6. + t^6./(g1^2*g3^2) + t^6./(g1*g3) + g1*g3*t^6. + g1^2*g3^2*t^6. + t^6.5/(g1*g2^2*g3^2) + (g1*t^6.5)/(g2*g3) + g2^2*g3*t^6.5 + g2*g3^2*t^6.5 + 2*t^7. + t^7./(g1^2*g2^2) + (2*t^7.)/(g1*g2) + 2*g1*g2*t^7. + g1^2*g2^2*t^7. + t^7./(g1^2*g3^2) + (2*t^7.)/(g1*g3) + t^7./(g1^2*g2*g3) + (g2*t^7.)/g3 + 2*g1*g3*t^7. + (g3*t^7.)/g2 + g1^2*g2*g3*t^7. + g1^2*g3^2*t^7. + g1^3*t^7.5 + g2^3*t^7.5 + t^7.5/(g1^3*g2^3*g3^3) + t^7.5/(g1*g2^2*g3^2) - t^7.5/(g2*g3^2) - t^7.5/(g2^2*g3) + (g1*t^7.5)/(g2*g3) - (g2*g3*t^7.5)/g1 + g2^2*g3*t^7.5 + g2*g3^2*t^7.5 - g1*g2^2*g3^2*t^7.5 + g3^3*t^7.5 + 4*t^8. + (2*t^8.)/(g1^2*g2^2) + t^8./(g1*g2) + g1*g2*t^8. + 2*g1^2*g2^2*t^8. + (2*t^8.)/(g1^2*g3^2) + t^8./(g1*g3) + (2*t^8.)/(g1^2*g2*g3) + (2*g2*t^8.)/g3 + g1*g3*t^8. + (2*g3*t^8.)/g2 + 2*g1^2*g2*g3*t^8. + 2*g1^2*g3^2*t^8. + t^8.5/(g1*g2^2*g3^2) + (g1*t^8.5)/(g2*g3) + g2^2*g3*t^8.5 + g2*g3^2*t^8.5 - t^4./y - t^5./y - t^7./y - t^7./(g1*g2*y) - (g1*g2*t^7.)/y - t^7./(g1*g3*y) - (g1*g3*t^7.)/y - t^8./y - t^8./(g1*g2*y) - (g1*g2*t^8.)/y - t^8./(g1*g3*y) - (g1*g3*t^8.)/y - t^4.*y - t^5.*y - t^7.*y - (t^7.*y)/(g1*g2) - g1*g2*t^7.*y - (t^7.*y)/(g1*g3) - g1*g3*t^7.*y - t^8.*y - (t^8.*y)/(g1*g2) - g1*g2*t^8.*y - (t^8.*y)/(g1*g3) - g1*g3*t^8.*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 |
|---|---|---|---|---|---|---|---|---|
| 47895 | $q_1q_2\tilde{q}_1\tilde{q}_2$ + $ \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]] | 4*t^3. + 6*t^4. + 3*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {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} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | . | 1.4743 | 1.6854 | 0.8748 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |