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 |
|---|---|---|---|---|---|---|---|---|---|
| 45275 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_2$ + $ M_1M_2$ + $ q_2^2X_1$ | 1.724 | 1.8302 | 0.9419 | [X:[1.4], M:[0.8, 1.2, 0.9], q:[0.5, 0.3], qb:[], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 55167/32000, c: 58567/32000, X1: 7/5, M1: 4/5, M2: 6/5, M3: 9/10, q1: 1/2, q2: 3/10, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_3$, $ q_1^2$, $ M_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2^2$, $ X_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ M_3q_1^2$ | $M_2\phi_1^2$, $ \phi_1^3q_1q_2$ | 2 | 2*t^2.4 + t^2.7 + t^3. + t^3.6 + t^3.9 + 2*t^4.2 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + t^5.7 + 2*t^6. + 3*t^6.3 + 4*t^6.6 + 2*t^6.9 + 9*t^7.2 + 5*t^7.5 + 7*t^7.8 + 4*t^8.1 + 7*t^8.4 + 6*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - (3*t^6.6)/y - t^6.9/y - t^7.2/y - (2*t^7.5)/y - (2*t^8.1)/y + t^8.7/y - t^4.2*y - t^5.1*y - t^5.7*y - 3*t^6.6*y - t^6.9*y - t^7.2*y - 2*t^7.5*y - 2*t^8.1*y + t^8.7*y | 2*t^2.4 + t^2.7 + t^3. + t^3.6 + t^3.9 + 2*t^4.2 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + t^5.7 + 2*t^6. + 3*t^6.3 + 4*t^6.6 + 2*t^6.9 + 9*t^7.2 + 5*t^7.5 + 7*t^7.8 + 4*t^8.1 + 7*t^8.4 + 6*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - (3*t^6.6)/y - t^6.9/y - t^7.2/y - (2*t^7.5)/y - (2*t^8.1)/y + t^8.7/y - t^4.2*y - t^5.1*y - t^5.7*y - 3*t^6.6*y - t^6.9*y - t^7.2*y - 2*t^7.5*y - 2*t^8.1*y + t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 45457 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_2$ + $ M_1M_2$ + $ q_2^2X_1$ + $ M_4\phi_1^2q_1$ | 1.7445 | 1.8695 | 0.9331 | [X:[1.4], M:[0.8, 1.2, 0.9, 0.7], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.6 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 3*t^5.1 + 3*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 3489/2000, c: 3739/2000, X1: 7/5, M1: 4/5, M2: 6/5, M3: 9/10, M4: 7/10, q1: 1/2, q2: 3/10, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45218 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_2$ | 1.8237 | 1.9583 | 0.9313 | [X:[], M:[0.6933, 1.04, 0.8467], q:[0.5, 0.46], qb:[], phi:[0.3467]] | 2*t^2.08 + t^2.54 + t^2.76 + t^3. + t^3.12 + t^3.58 + 4*t^4.16 + 2*t^4.62 + 3*t^4.84 + t^4.96 + 4*t^5.08 + 2*t^5.2 + t^5.3 + t^5.52 + t^5.54 + 3*t^5.66 + t^5.76 - t^4.04/y - t^5.42/y - t^5.54/y - t^4.04*y - t^5.42*y - t^5.54*y | detail |