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 |
|---|---|---|---|---|---|---|---|---|---|
| 8459 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1^2$ + $ M_2\phi_1^3q_2^2$ | 1.0195 | 1.207 | 0.8447 | [X:[1.5, 1.5], M:[0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[2], [-2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 261/256, c: 309/256, X1: 3/2, X2: 3/2, M1: 3/4, M2: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_1^2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1q_1^2$, $ M_2\phi_1q_1^2$, $ \phi_1^2q_1^4$, $ M_1\phi_1q_1q_2$, $ M_2\phi_1q_1q_2$, $ \phi_1^2q_1^3q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^2q_1q_2^3$, $ \phi_1^2q_2^4$, $ X_1$, $ X_2$, $ M_2^2$, $ M_2\phi_1q_1^2$, $ \phi_1^2q_1^4$, $ M_2\phi_1q_1q_2$, $ \phi_1^2q_1^3q_2$, $ M_1\phi_1q_1q_2$, $ \phi_1^2q_1q_2^3$, $ M_1^2$, $ M_1\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ \phi_1^5q_1^2$, $ M_1\phi_1^2q_1q_2$, $ M_2\phi_1^2q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1^2q_2^2$, $ \phi_1^3q_1q_2^3$, $ M_2\phi_1^4$, $ \phi_1^5q_1^2$, $ M_2\phi_1^2q_1q_2$, $ \phi_1^3q_1^3q_2$, $ M_1\phi_1^4$, $ M_1\phi_1^2q_1q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1q_2^3$ | $M_1\phi_1^3q_1q_2$, $ M_2\phi_1^3q_1q_2$, $ \phi_1^6q_1q_2$, $ \phi_1^4q_1^3q_2$, $ \phi_1^4q_1^2q_2^2$, $ \phi_1^4q_1q_2^3$ | 3 | 5*t^2.25 + 2*t^3. + t^3.75 + 17*t^4.5 + 10*t^5.25 + 3*t^6. + 41*t^6.75 + 30*t^7.5 + t^8.25 - t^3.75/y - t^5.25/y - (5*t^6.)/y - t^6.75/y + (7*t^7.5)/y - (6*t^8.25)/y - t^3.75*y - t^5.25*y - 5*t^6.*y - t^6.75*y + 7*t^7.5*y - 6*t^8.25*y | t^2.25 + (2*t^2.25)/g1^2 + 2*g1^2*t^2.25 + 2*t^3. + t^3.75 + 7*t^4.5 + (3*t^4.5)/g1^4 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + 3*g1^4*t^4.5 + 2*t^5.25 + (4*t^5.25)/g1^2 + 4*g1^2*t^5.25 + t^6. + t^6./g1^2 + g1^2*t^6. + 7*t^6.75 + (4*t^6.75)/g1^6 + (3*t^6.75)/g1^4 + (10*t^6.75)/g1^2 + 10*g1^2*t^6.75 + 3*g1^4*t^6.75 + 4*g1^6*t^6.75 + 12*t^7.5 + (6*t^7.5)/g1^4 + (3*t^7.5)/g1^2 + 3*g1^2*t^7.5 + 6*g1^4*t^7.5 + t^8.25 + t^8.25/g1^4 - t^8.25/g1^2 - g1^2*t^8.25 + g1^4*t^8.25 - t^3.75/y - t^5.25/y - t^6./y - (2*t^6.)/(g1^2*y) - (2*g1^2*t^6.)/y - t^6.75/y + (3*t^7.5)/y + t^7.5/(g1^4*y) + t^7.5/(g1^2*y) + (g1^2*t^7.5)/y + (g1^4*t^7.5)/y - (4*t^8.25)/y - (3*t^8.25)/(g1^4*y) + (2*t^8.25)/(g1^2*y) + (2*g1^2*t^8.25)/y - (3*g1^4*t^8.25)/y - t^3.75*y - t^5.25*y - t^6.*y - (2*t^6.*y)/g1^2 - 2*g1^2*t^6.*y - t^6.75*y + 3*t^7.5*y + (t^7.5*y)/g1^4 + (t^7.5*y)/g1^2 + g1^2*t^7.5*y + g1^4*t^7.5*y - 4*t^8.25*y - (3*t^8.25*y)/g1^4 + (2*t^8.25*y)/g1^2 + 2*g1^2*t^8.25*y - 3*g1^4*t^8.25*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 |
|---|---|---|---|---|---|---|---|---|
| 8637 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1^2$ + $ M_2\phi_1^3q_2^2$ + $ M_3\phi_1^3q_1q_2$ | 1.0386 | 1.2417 | 0.8364 | [X:[1.5, 1.5], M:[0.75, 0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] | 6*t^2.25 + 2*t^3. + 23*t^4.5 + 12*t^5.25 - 2*t^6. - t^3.75/y - t^5.25/y - (6*t^6.)/y - t^3.75*y - t^5.25*y - 6*t^6.*y | detail | {a: 2127/2048, c: 2543/2048, X1: 3/2, X2: 3/2, M1: 3/4, M2: 3/4, M3: 3/4, q1: 1/4, q2: 1/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8218 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1^2$ | 1.0008 | 1.1735 | 0.8528 | [X:[1.5, 1.5], M:[0.7362], q:[0.2569, 0.2431], qb:[], phi:[0.25]] | 2*t^2.21 + t^2.25 + t^2.29 + 2*t^3. + t^3.71 + t^3.75 + 3*t^4.42 + 2*t^4.46 + 5*t^4.5 + t^4.54 + t^4.58 + 4*t^5.21 + 2*t^5.25 + 2*t^5.29 + 2*t^5.92 + 2*t^5.96 + 2*t^6. - t^3.75/y - t^5.25/y - (2*t^5.96)/y - t^6./y - t^3.75*y - t^5.25*y - 2*t^5.96*y - t^6.*y | detail |