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 |
|---|---|---|---|---|---|---|---|---|---|
| 8230 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^8$ + $ q_1q_2X_2$ | 0.9624 | 1.103 | 0.8725 | [X:[1.5, 1.5], M:[1.25], q:[0.25, 0.25], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 1971/2048, c: 2259/2048, X1: 3/2, X2: 3/2, M1: 5/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ \phi_1^2q_1^4$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^2q_2^4$, $ X_1$, $ X_2$, $ \phi_1^2q_1^4$, $ \phi_1^2q_2^4$, $ \phi_1^5q_1^2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1q_2^3$ | $\phi_1^4q_1^4$, $ \phi_1^6q_1q_2$, $ \phi_1^4q_1^3q_2$, $ 2\phi_1^4q_1^2q_2^2$, $ \phi_1^4q_1q_2^3$, $ \phi_1^4q_2^4$ | 6 | 2*t^2.25 + 2*t^3. + 4*t^3.75 + 5*t^4.5 + 4*t^5.25 + 6*t^6. + 10*t^6.75 + 15*t^7.5 + 10*t^8.25 - t^3.75/y - t^5.25/y - (2*t^6.)/y - t^6.75/y - (2*t^7.5)/y - t^3.75*y - t^5.25*y - 2*t^6.*y - t^6.75*y - 2*t^7.5*y | t^2.25/g1^2 + g1^2*t^2.25 + 2*t^3. + 2*t^3.75 + t^3.75/g1^2 + g1^2*t^3.75 + 3*t^4.5 + t^4.5/g1^4 + g1^4*t^4.5 + (2*t^5.25)/g1^2 + 2*g1^2*t^5.25 + 2*t^6. + t^6./g1^4 + t^6./g1^2 + g1^2*t^6. + g1^4*t^6. + 2*t^6.75 + t^6.75/g1^6 + (3*t^6.75)/g1^2 + 3*g1^2*t^6.75 + g1^6*t^6.75 + 7*t^7.5 + (3*t^7.5)/g1^4 + t^7.5/g1^2 + g1^2*t^7.5 + 3*g1^4*t^7.5 + 2*t^8.25 + t^8.25/g1^6 + t^8.25/g1^4 + (2*t^8.25)/g1^2 + 2*g1^2*t^8.25 + g1^4*t^8.25 + g1^6*t^8.25 - t^3.75/y - t^5.25/y - t^6./(g1^2*y) - (g1^2*t^6.)/y - t^6.75/y - t^7.5/(g1^2*y) - (g1^2*t^7.5)/y - (2*t^8.25)/y - t^8.25/(g1^4*y) + (2*t^8.25)/(g1^2*y) + (2*g1^2*t^8.25)/y - (g1^4*t^8.25)/y - t^3.75*y - t^5.25*y - (t^6.*y)/g1^2 - g1^2*t^6.*y - t^6.75*y - (t^7.5*y)/g1^2 - g1^2*t^7.5*y - 2*t^8.25*y - (t^8.25*y)/g1^4 + (2*t^8.25*y)/g1^2 + 2*g1^2*t^8.25*y - 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8192 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2918 | 0.9032 | [X:[1.6362], M:[0.9095], q:[0.4543, 0.4543], qb:[], phi:[0.1819]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 3*t^4.36 + t^4.37 + 3*t^4.91 + 4*t^5.45 + t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |