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 |
|---|---|---|---|---|---|---|---|---|---|
| 8212 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ \phi_1q_2^2X_3$ | 0.8906 | 1.0156 | 0.8769 | [X:[1.5, 1.5, 1.5], M:[], q:[0.375, 0.125], qb:[], phi:[0.25]] | [X:[[0], [0], [0]], M:[], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 57/64, c: 65/64, X1: 3/2, X2: 3/2, X3: 3/2, q1: 3/8, q2: 1/8, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_1^2q_2^2$, $ X_1$, $ X_2$, $ X_3$, $ \phi_1^2q_1^3q_2$, $ \phi_1^3q_1^2q_2^2$, $ \phi_1^4q_1q_2^3$ | $\phi_1^2q_1^4$, $ \phi_1^3q_1^3q_2$, $ \phi_1^7q_2^2$, $ 2\phi_1^4q_1^2q_2^2$, $ \phi_1^5q_1q_2^3$, $ \phi_1^6q_2^4$ | 6 | t^2.25 + 4*t^3. + t^3.75 + 5*t^4.5 + 3*t^5.25 + 6*t^6. + 5*t^6.75 + 13*t^7.5 + 3*t^8.25 - t^3.75/y - t^5.25/y - t^6./y - (2*t^6.75)/y - t^7.5/y - t^3.75*y - t^5.25*y - t^6.*y - 2*t^6.75*y - t^7.5*y | t^2.25 + 4*t^3. + t^3.75 + 5*t^4.5 + 3*t^5.25 + 6*t^6. + 5*t^6.75 + 13*t^7.5 + 3*t^8.25 - t^3.75/y - t^5.25/y - t^6./y - (2*t^6.75)/y - t^7.5/y - t^3.75*y - t^5.25*y - t^6.*y - 2*t^6.75*y - t^7.5*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 |
|---|---|---|---|---|---|---|---|---|
| 8444 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ \phi_1q_2^2X_3$ + $ M_1\phi_1^3q_1q_2$ | 0.9097 | 1.0503 | 0.8661 | [X:[1.5, 1.5, 1.5], M:[0.75], q:[0.375, 0.125], qb:[], phi:[0.25]] | 2*t^2.25 + 4*t^3. + 7*t^4.5 + 7*t^5.25 + 5*t^6. - t^3.75/y - t^5.25/y - (2*t^6.)/y - t^3.75*y - t^5.25*y - 2*t^6.*y | detail | {a: 1863/2048, c: 2151/2048, X1: 3/2, X2: 3/2, X3: 3/2, M1: 3/4, q1: 3/8, q2: 1/8, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8185 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ | 1.128 | 1.2465 | 0.9049 | [X:[1.6379], M:[], q:[0.5474, 0.3663], qb:[], phi:[0.1811]] | t^2.17 + 2*t^2.74 + t^3.28 + 3*t^3.83 + t^4.35 + t^4.37 + 4*t^4.91 + 3*t^5.48 - t^3.54/y - t^4.63/y - t^5.72/y - t^3.54*y - t^4.63*y - t^5.72*y | detail |