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 |
|---|---|---|---|---|---|---|---|---|---|
| 1770 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ + $ M_4q_1\tilde{q}_2$ | 0.5986 | 0.7315 | 0.8183 | [X:[1.3758], M:[1.0, 0.6242, 0.8788, 0.8727], q:[0.6273, 0.997], qb:[0.3727, 0.5], phi:[0.3758]] | [X:[[1]], M:[[0], [-1], [5], [-3]], q:[[3], [-4]], qb:[[-3], [0]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ X_1$, $ q_2\tilde{q}_2$, $ \phi_1^4$, $ M_4\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_4$, $ M_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.25 + 2*t^2.62 + t^2.64 + t^3. + t^3.75 + t^4.11 + t^4.13 + t^4.49 + t^4.51 + 3*t^4.87 + t^4.89 + 3*t^5.24 + 2*t^5.25 + t^5.27 + t^5.62 - t^6. + 2*t^6.36 + 2*t^6.73 + 2*t^6.75 + t^6.76 + 2*t^7.11 + 2*t^7.13 + t^7.15 + 3*t^7.49 + 2*t^7.51 + t^7.53 + 4*t^7.85 + t^7.87 + t^7.89 + t^7.91 + t^8.22 + t^8.24 - 2*t^8.25 + t^8.6 - 3*t^8.62 - 2*t^8.64 + 4*t^8.98 - t^4.13/y - t^6.38/y - t^6.75/y - t^6.76/y + t^7.49/y + t^7.51/y + (3*t^7.87)/y + t^7.89/y + t^8.24/y + (3*t^8.25)/y + (2*t^8.62)/y - t^4.13*y - t^6.38*y - t^6.75*y - t^6.76*y + t^7.49*y + t^7.51*y + 3*t^7.87*y + t^7.89*y + t^8.24*y + 3*t^8.25*y + 2*t^8.62*y | g1^2*t^2.25 + (2*t^2.62)/g1^3 + g1^5*t^2.64 + t^3. + t^3.75/g1^2 + t^4.11/g1^7 + g1*t^4.13 + t^4.49/g1^4 + g1^4*t^4.51 + (3*t^4.87)/g1 + g1^7*t^4.89 + (3*t^5.24)/g1^6 + 2*g1^2*t^5.25 + g1^10*t^5.27 + t^5.62/g1^3 - t^6. + (2*t^6.36)/g1^5 + (2*t^6.73)/g1^10 + (2*t^6.75)/g1^2 + g1^6*t^6.76 + (2*t^7.11)/g1^7 + 2*g1*t^7.13 + g1^9*t^7.15 + (3*t^7.49)/g1^4 + 2*g1^4*t^7.51 + g1^12*t^7.53 + (4*t^7.85)/g1^9 + t^7.87/g1 + g1^7*t^7.89 + g1^15*t^7.91 + t^8.22/g1^14 + t^8.24/g1^6 - 2*g1^2*t^8.25 + t^8.6/g1^11 - (3*t^8.62)/g1^3 - 2*g1^5*t^8.64 + (4*t^8.98)/g1^8 - (g1*t^4.13)/y - (g1^3*t^6.38)/y - t^6.75/(g1^2*y) - (g1^6*t^6.76)/y + t^7.49/(g1^4*y) + (g1^4*t^7.51)/y + (3*t^7.87)/(g1*y) + (g1^7*t^7.89)/y + t^8.24/(g1^6*y) + (3*g1^2*t^8.25)/y + (2*t^8.62)/(g1^3*y) - g1*t^4.13*y - g1^3*t^6.38*y - (t^6.75*y)/g1^2 - g1^6*t^6.76*y + (t^7.49*y)/g1^4 + g1^4*t^7.51*y + (3*t^7.87*y)/g1 + g1^7*t^7.89*y + (t^8.24*y)/g1^6 + 3*g1^2*t^8.25*y + (2*t^8.62*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 303 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ | 0.588 | 0.713 | 0.8247 | [X:[1.3696], M:[1.0, 0.6304, 0.8478], q:[0.6087, 1.0217], qb:[0.3913, 0.5], phi:[0.3696]] | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 - t^4.11/y - t^4.11*y | detail | {a: 1731/2944, c: 2099/2944, X1: 63/46, M1: 1, M2: 29/46, M3: 39/46, q1: 14/23, q2: 47/46, qb1: 9/23, qb2: 1/2, phi1: 17/46} |