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 |
|---|---|---|---|---|---|---|---|---|---|
| 55593 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \tilde{q}_2^2\tilde{q}_3^2$ | 0.7969 | 0.9531 | 0.8361 | [X:[], M:[], q:[0.75, 0.75, 0.75], qb:[0.75, 0.5, 0.5], phi:[0.5]] | [X:[], M:[], q:[[-1, 0, 0], [1, 0, 0], [0, -1, 0]], qb:[[0, 1, 0], [0, 0, -1], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 | {a: 51/64, c: 61/64, q1: 3/4, q2: 3/4, q3: 3/4, qb1: 3/4, qb2: 1/2, qb3: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_2\tilde{q}_3$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1q_3$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ q_1q_3$, $ \phi_1\tilde{q}_2^2$ | $\phi_1^4$, $ \phi_1^2\tilde{q}_2\tilde{q}_3$ | -7 | 2*t^3. + 8*t^3.75 + 9*t^4.5 - 7*t^6. + 36*t^7.5 + 48*t^8.25 - t^4.5/y - t^4.5*y | 2*t^3. + t^3.75/(g1*g3) + (g1*t^3.75)/g3 + t^3.75/(g2*g3) + (g2*t^3.75)/g3 + (g3*t^3.75)/g1 + g1*g3*t^3.75 + (g3*t^3.75)/g2 + g2*g3*t^3.75 + 3*t^4.5 + t^4.5/(g1*g2) + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + g1*g2*t^4.5 + t^4.5/g3^2 + g3^2*t^4.5 - t^6. - t^6./(g1*g2) - (g1*t^6.)/g2 - (g2*t^6.)/g1 - g1*g2*t^6. - t^6./g3^2 - g3^2*t^6. + 4*t^7.5 + t^7.5/g1^2 + g1^2*t^7.5 + t^7.5/g2^2 + (2*t^7.5)/(g1*g2) + (2*g1*t^7.5)/g2 + (2*g2*t^7.5)/g1 + 2*g1*g2*t^7.5 + g2^2*t^7.5 + (2*t^7.5)/g3^2 + t^7.5/(g1^2*g3^2) + (g1^2*t^7.5)/g3^2 + t^7.5/(g2^2*g3^2) + t^7.5/(g1*g2*g3^2) + (g1*t^7.5)/(g2*g3^2) + (g2*t^7.5)/(g1*g3^2) + (g1*g2*t^7.5)/g3^2 + (g2^2*t^7.5)/g3^2 + 2*g3^2*t^7.5 + (g3^2*t^7.5)/g1^2 + g1^2*g3^2*t^7.5 + (g3^2*t^7.5)/g2^2 + (g3^2*t^7.5)/(g1*g2) + (g1*g3^2*t^7.5)/g2 + (g2*g3^2*t^7.5)/g1 + g1*g2*g3^2*t^7.5 + g2^2*g3^2*t^7.5 + t^8.25/(g1*g3^3) + (g1*t^8.25)/g3^3 + t^8.25/(g2*g3^3) + (g2*t^8.25)/g3^3 + (3*t^8.25)/(g1*g3) + (3*g1*t^8.25)/g3 + t^8.25/(g1*g2^2*g3) + (g1*t^8.25)/(g2^2*g3) + (3*t^8.25)/(g2*g3) + t^8.25/(g1^2*g2*g3) + (g1^2*t^8.25)/(g2*g3) + (3*g2*t^8.25)/g3 + (g2*t^8.25)/(g1^2*g3) + (g1^2*g2*t^8.25)/g3 + (g2^2*t^8.25)/(g1*g3) + (g1*g2^2*t^8.25)/g3 + (3*g3*t^8.25)/g1 + 3*g1*g3*t^8.25 + (g3*t^8.25)/(g1*g2^2) + (g1*g3*t^8.25)/g2^2 + (3*g3*t^8.25)/g2 + (g3*t^8.25)/(g1^2*g2) + (g1^2*g3*t^8.25)/g2 + 3*g2*g3*t^8.25 + (g2*g3*t^8.25)/g1^2 + g1^2*g2*g3*t^8.25 + (g2^2*g3*t^8.25)/g1 + g1*g2^2*g3*t^8.25 + (g3^3*t^8.25)/g1 + g1*g3^3*t^8.25 + (g3^3*t^8.25)/g2 + g2*g3^3*t^8.25 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|
| 55790 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \tilde{q}_2^2\tilde{q}_3^2$ + $ M_1q_1\tilde{q}_2$ | 0.8165 | 0.99 | 0.8247 | [X:[], M:[0.7239], q:[0.7674, 0.7326, 0.75], qb:[0.75, 0.5087, 0.4913], phi:[0.5]] | t^2.17 + 2*t^3. + t^3.67 + 3*t^3.72 + 3*t^3.78 + t^4.34 + 3*t^4.45 + 3*t^4.5 + 3*t^4.55 + 2*t^5.17 + t^5.84 + 3*t^5.9 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55445 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ | 0.797 | 0.9555 | 0.8342 | [X:[], M:[], q:[0.7465, 0.7465, 0.7465], qb:[0.7465, 0.4931, 0.4931], phi:[0.5069]] | t^2.96 + t^3.04 + 8*t^3.72 + 9*t^4.48 + t^5.92 - 9*t^6. - t^4.52/y - t^4.52*y | detail |