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 |
|---|---|---|---|---|---|---|---|---|---|
| 8499 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ | 1.1369 | 1.2463 | 0.9122 | [X:[1.625], M:[1.0, 1.25], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 18627/16384, c: 20419/16384, X1: 13/8, M1: 1, M2: 5/4, q1: 15/32, q2: 13/32, phi1: 3/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ q_1^2q_2^2$, $ M_1q_1q_2$ | . | 0 | t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.62 + 3*t^6.38 + 3*t^6.75 + 2*t^6.94 + 3*t^7.12 + t^7.31 + 5*t^7.5 + t^7.69 + 3*t^7.88 + 2*t^8.06 + 5*t^8.25 + t^8.44 + 2*t^8.62 + t^8.81 + t^8.25/y^2 - t^3.56/y - t^4.69/y - t^6.19/y - t^6.56/y - t^6.75/y - t^6.94/y - (2*t^7.31)/y - t^7.69/y - t^7.88/y - t^8.06/y - t^8.44/y + t^8.62/y - t^3.56*y - t^4.69*y - t^6.19*y - t^6.56*y - t^6.75*y - t^6.94*y - 2*t^7.31*y - t^7.69*y - t^7.88*y - t^8.06*y - t^8.44*y + t^8.62*y + t^8.25*y^2 | t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.62 + 3*t^6.38 + 3*t^6.75 + 2*t^6.94 + 3*t^7.12 + t^7.31 + 5*t^7.5 + t^7.69 + 3*t^7.88 + 2*t^8.06 + 5*t^8.25 + t^8.44 + 2*t^8.62 + t^8.81 + t^8.25/y^2 - t^3.56/y - t^4.69/y - t^6.19/y - t^6.56/y - t^6.75/y - t^6.94/y - (2*t^7.31)/y - t^7.69/y - t^7.88/y - t^8.06/y - t^8.44/y + t^8.62/y - t^3.56*y - t^4.69*y - t^6.19*y - t^6.56*y - t^6.75*y - t^6.94*y - 2*t^7.31*y - t^7.69*y - t^7.88*y - t^8.06*y - t^8.44*y + t^8.62*y + t^8.25*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8702 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_3\phi_1q_1q_2$ | 1.1427 | 1.256 | 0.9098 | [X:[1.625], M:[1.0, 1.25, 0.9375], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.62 + t^2.81 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.44 + 2*t^5.62 - t^3.56/y - t^4.69/y - t^3.56*y - t^4.69*y | detail | {a: 149775/131072, c: 164623/131072, X1: 13/8, M1: 1, M2: 5/4, M3: 15/16, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8703 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_3\phi_1q_1^2$ | 1.1481 | 1.2653 | 0.9074 | [X:[1.625], M:[1.0, 1.25, 0.875], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | 2*t^2.62 + t^3. + t^3.19 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + 3*t^5.25 + 2*t^5.62 + t^5.81 - t^6. - t^3.56/y - t^4.69/y - t^3.56*y - t^4.69*y | detail | {a: 9405/8192, c: 10365/8192, X1: 13/8, M1: 1, M2: 5/4, M3: 7/8, q1: 15/32, q2: 13/32, phi1: 3/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8374 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1479 | 1.2552 | 0.9145 | [X:[1.6413], M:[0.8696, 1.2826], q:[0.4484, 0.4755], qb:[], phi:[0.1793]] | t^2.61 + t^2.77 + t^3.23 + t^3.31 + 2*t^3.85 + t^4.3 + t^4.39 + t^4.47 + t^4.92 + t^5.22 + t^5.38 + t^5.54 + t^5.84 - t^6. - t^3.54/y - t^4.61/y - t^3.54*y - t^4.61*y | detail |