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 |
|---|---|---|---|---|---|---|---|---|---|
| 45134 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2$ | 1.7747 | 1.884 | 0.9419 | [X:[], M:[0.875, 1.25], q:[0.5, 0.375], qb:[], phi:[0.375]] | [X:[], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 7269/4096, c: 7717/4096, M1: 7/8, M2: 5/4, q1: 1/2, q2: 3/8, phi1: 3/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2^2$, $ M_1$, $ q_1q_2$, $ q_1^2$, $ M_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ q_1q_2^3$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ q_1^2q_2^2$, $ M_1q_1^2$ | $\phi_1^3q_1q_2$, $ M_2q_2^2$, $ \phi_1^2q_1q_2^2$, $ \phi_1q_1q_2^3$ | 3 | t^2.25 + 2*t^2.62 + t^3. + 3*t^3.75 + 3*t^4.5 + 3*t^4.88 + 5*t^5.25 + t^5.62 + 3*t^6. + 5*t^6.38 + 4*t^6.75 + 5*t^7.12 + 13*t^7.5 + 7*t^7.88 + 8*t^8.25 + 4*t^8.62 - t^4.12/y - t^5.25/y - t^5.62/y - (2*t^6.38)/y - (2*t^6.75)/y - t^7.12/y - t^7.5/y - (3*t^7.88)/y - t^8.25/y - t^8.62/y - t^4.12*y - t^5.25*y - t^5.62*y - 2*t^6.38*y - 2*t^6.75*y - t^7.12*y - t^7.5*y - 3*t^7.88*y - t^8.25*y - t^8.62*y | t^2.25 + 2*t^2.62 + t^3. + 3*t^3.75 + 3*t^4.5 + 3*t^4.88 + 5*t^5.25 + t^5.62 + 3*t^6. + 5*t^6.38 + 4*t^6.75 + 5*t^7.12 + 13*t^7.5 + 7*t^7.88 + 8*t^8.25 + 4*t^8.62 - t^4.12/y - t^5.25/y - t^5.62/y - (2*t^6.38)/y - (2*t^6.75)/y - t^7.12/y - t^7.5/y - (3*t^7.88)/y - t^8.25/y - t^8.62/y - t^4.12*y - t^5.25*y - t^5.62*y - 2*t^6.38*y - 2*t^6.75*y - t^7.12*y - t^7.5*y - 3*t^7.88*y - t^8.25*y - t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 45276 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2$ + $ M_3q_2^2$ | 1.7556 | 1.8494 | 0.9493 | [X:[], M:[0.875, 1.25, 1.25], q:[0.5, 0.375], qb:[], phi:[0.375]] | 2*t^2.62 + t^3. + 4*t^3.75 + 2*t^4.5 + t^4.88 + 4*t^5.25 + t^5.62 - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 7191/4096, c: 7575/4096, M1: 7/8, M2: 5/4, M3: 5/4, q1: 1/2, q2: 3/8, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45017 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ \phi_1^4q_1$ | 1.7937 | 1.9187 | 0.9349 | [X:[], M:[0.875], q:[0.5, 0.375], qb:[], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.75 + 5*t^4.5 + 5*t^4.88 + 6*t^5.25 + t^5.62 + 4*t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 7347/4096, c: 7859/4096, M1: 7/8, q1: 1/2, q2: 3/8, phi1: 3/8} |