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 |
|---|---|---|---|---|---|---|---|---|---|
| 45211 | SO5adj1nf2 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ + $ M_3\phi_1^2$ | 1.7355 | 1.823 | 0.952 | [X:[], M:[1.2, 1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | [X:[], M:[[2], [-2], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 3471/2000, c: 1823/1000, M1: 6/5, M2: 6/5, M3: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ M_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ M_1$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_2^2$ | $M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4q_1$, $ \phi_1^4q_2$, $ 2\phi_1^3q_1q_2$ | 3 | t^2.4 + 6*t^3.6 + 5*t^4.8 + 3*t^6. + 20*t^7.2 + 19*t^8.4 - t^4.2/y - (2*t^5.4)/y - (2*t^6.6)/y - (7*t^7.8)/y - t^4.2*y - 2*t^5.4*y - 2*t^6.6*y - 7*t^7.8*y | t^2.4 + 2*t^3.6 + t^3.6/g1^2 + t^3.6/g1 + g1*t^3.6 + g1^2*t^3.6 + 3*t^4.8 + t^4.8/g1^2 + g1^2*t^4.8 + t^6. + t^6./g1 + g1*t^6. + 6*t^7.2 + t^7.2/g1^4 + t^7.2/g1^3 + (3*t^7.2)/g1^2 + (2*t^7.2)/g1 + 2*g1*t^7.2 + 3*g1^2*t^7.2 + g1^3*t^7.2 + g1^4*t^7.2 + 5*t^8.4 + t^8.4/g1^4 + t^8.4/g1^3 + (2*t^8.4)/g1^2 + (3*t^8.4)/g1 + 3*g1*t^8.4 + 2*g1^2*t^8.4 + g1^3*t^8.4 + g1^4*t^8.4 - t^4.2/y - t^5.4/(g1*y) - (g1*t^5.4)/y - (2*t^6.6)/y - t^7.8/y - t^7.8/(g1^2*y) - (2*t^7.8)/(g1*y) - (2*g1*t^7.8)/y - (g1^2*t^7.8)/y - t^4.2*y - (t^5.4*y)/g1 - g1*t^5.4*y - 2*t^6.6*y - t^7.8*y - (t^7.8*y)/g1^2 - (2*t^7.8*y)/g1 - 2*g1*t^7.8*y - g1^2*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 45324 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ + $ M_3\phi_1^2$ + $ M_4\phi_1^2q_2$ | 1.7522 | 1.8527 | 0.9458 | [X:[], M:[1.2154, 1.1846, 1.2, 0.7923], q:[0.3923, 0.4077], qb:[], phi:[0.4]] | t^2.38 + t^2.4 + t^3.55 + t^3.58 + 2*t^3.6 + t^3.65 + 2*t^4.75 + t^4.78 + 3*t^4.8 + t^4.85 + t^5.93 + t^5.95 + 3*t^5.98 + t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y | detail | |
| 45372 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ + $ M_3\phi_1^2$ + $ M_4\phi_1^2$ | 1.719 | 1.794 | 0.9582 | [X:[], M:[1.2, 1.2, 1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | 7*t^3.6 + 4*t^4.8 - 3*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 1719/1000, c: 897/500, M1: 6/5, M2: 6/5, M3: 6/5, M4: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45015 | SO5adj1nf2 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ | 1.7846 | 1.887 | 0.9457 | [X:[], M:[1.0212, 1.0212, 1.0212], q:[0.4894, 0.4894], qb:[], phi:[0.3404]] | t^2.04 + 3*t^3.06 + 2*t^3.51 + t^3.96 + 2*t^4.08 + 3*t^4.98 + 3*t^5.11 + 2*t^5.55 - 2*t^6. - t^4.02/y - (2*t^5.49)/y - t^4.02*y - 2*t^5.49*y | detail |