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 |
|---|---|---|---|---|---|---|---|---|---|
| 8509 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ | 1.1617 | 1.2906 | 0.9001 | [X:[1.625], M:[0.9375, 1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 152271/131072, c: 169167/131072, X1: 13/8, M1: 15/16, M2: 1, q1: 15/32, q2: 13/32, phi1: 3/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_1$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ q_1^2q_2^2$, $ M_1q_1q_2$, $ M_1^2$, $ \phi_1^5q_1^2$, $ M_2q_1q_2$ | $\phi_1^6q_1q_2$ | 1 | t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + 3*t^5.62 + t^6. + 2*t^6.38 + t^6.56 + 4*t^6.75 + t^6.94 + 5*t^7.12 + 2*t^7.31 + 4*t^7.5 + 2*t^7.69 + 5*t^7.88 + t^8.06 + 6*t^8.25 + 2*t^8.44 + 3*t^8.62 - t^8.81 + t^8.25/y^2 - t^8.81/y^2 - t^3.56/y - t^4.69/y - t^5.81/y - t^6.19/y - t^6.38/y - t^6.56/y - (2*t^6.94)/y - t^7.31/y - t^7.5/y - t^7.69/y + t^7.88/y - t^8.06/y + t^8.25/y + t^8.62/y - t^8.81/y - t^3.56*y - t^4.69*y - t^5.81*y - t^6.19*y - t^6.38*y - t^6.56*y - 2*t^6.94*y - t^7.31*y - t^7.5*y - t^7.69*y + t^7.88*y - t^8.06*y + t^8.25*y + t^8.62*y - t^8.81*y + t^8.25*y^2 - t^8.81*y^2 | t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + 3*t^5.62 + t^6. + 2*t^6.38 + t^6.56 + 4*t^6.75 + t^6.94 + 5*t^7.12 + 2*t^7.31 + 4*t^7.5 + 2*t^7.69 + 5*t^7.88 + t^8.06 + 6*t^8.25 + 2*t^8.44 + 3*t^8.62 - t^8.81 + t^8.25/y^2 - t^8.81/y^2 - t^3.56/y - t^4.69/y - t^5.81/y - t^6.19/y - t^6.38/y - t^6.56/y - (2*t^6.94)/y - t^7.31/y - t^7.5/y - t^7.69/y + t^7.88/y - t^8.06/y + t^8.25/y + t^8.62/y - t^8.81/y - t^3.56*y - t^4.69*y - t^5.81*y - t^6.19*y - t^6.38*y - t^6.56*y - 2*t^6.94*y - t^7.31*y - t^7.5*y - t^7.69*y + t^7.88*y - t^8.06*y + t^8.25*y + t^8.62*y - t^8.81*y + t^8.25*y^2 - t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 8706 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ + $ M_3\phi_1q_1^2$ | 1.1729 | 1.3096 | 0.8956 | [X:[1.625], M:[0.9375, 1.0, 0.875], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + t^5.06 + 4*t^5.25 + 2*t^5.44 + 3*t^5.62 - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y | detail | {a: 153735/131072, c: 171655/131072, X1: 13/8, M1: 15/16, M2: 1, M3: 7/8, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8707 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1808 | 1.3253 | 0.8909 | [X:[1.625], M:[0.9375, 1.0, 0.75], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | 2*t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^4.12 + t^4.31 + 4*t^4.5 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + t^5.44 + 4*t^5.62 - t^3.56/y - t^4.69/y - (2*t^5.81)/y - t^3.56*y - t^4.69*y - 2*t^5.81*y | detail | {a: 154767/131072, c: 173711/131072, X1: 13/8, M1: 15/16, M2: 1, M3: 3/4, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8704 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ + $ M_3q_1q_2$ | 1.1506 | 1.2717 | 0.9048 | [X:[1.625], M:[0.9375, 1.0, 1.125], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.25 + t^2.81 + t^3. + 2*t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + t^4.88 + t^5.06 + t^5.25 + 3*t^5.62 - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y | detail | {a: 150807/131072, c: 166679/131072, X1: 13/8, M1: 15/16, M2: 1, M3: 9/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8372 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ | 1.1778 | 1.3097 | 0.8993 | [X:[1.6443], M:[0.8892, 0.8455], q:[0.4446, 0.4883], qb:[], phi:[0.1778]] | t^2.13 + t^2.54 + t^2.67 + t^2.8 + t^3.2 + t^3.87 + 2*t^4.27 + t^4.4 + t^4.53 + t^4.67 + t^4.8 + 2*t^4.93 + t^5.07 + t^5.2 + 3*t^5.34 + t^5.47 + t^5.6 + t^5.74 - t^3.53/y - t^4.6/y - t^5.67/y - t^3.53*y - t^4.6*y - t^5.67*y | detail |