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 |
|---|---|---|---|---|---|---|---|---|---|
| 8224 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ | 0.9628 | 1.1046 | 0.8716 | [X:[1.5, 1.5], M:[1.2307], q:[0.2596, 0.2404], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_2^4$, $ \phi_1^2q_1q_2^3$, $ \phi_1^2q_1^2q_2^2$, $ X_1$, $ X_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1q_2^3$, $ \phi_1^5q_1q_2$, $ \phi_1^3q_1^2q_2^2$, $ M_1\phi_1q_2^2$, $ \phi_1^4q_2^4$, $ \phi_1^4q_1q_2^3$ | $\phi_1^6q_1q_2$, $ 2\phi_1^4q_1^2q_2^2$ | 2 | t^2.19 + t^2.25 + 2*t^3. + 2*t^3.69 + t^3.75 + t^3.81 + t^4.38 + t^4.44 + 3*t^4.5 + 2*t^5.19 + 2*t^5.25 + 2*t^5.88 + 2*t^5.94 + 2*t^6. + t^6.58 + t^6.63 + 5*t^6.69 + 3*t^6.75 + 5*t^7.38 + 3*t^7.44 + 6*t^7.5 + t^7.62 + 2*t^8.08 + 2*t^8.13 + 5*t^8.19 + t^8.25 + t^8.77 + t^8.83 + 5*t^8.88 + t^8.94 - t^8.94/y^2 - t^3.75/y - t^5.25/y - t^5.94/y - t^6./y - t^6.75/y - t^7.44/y - t^7.5/y - t^8.13/y + t^8.19/y + (2*t^8.88)/y + t^8.94/y - t^3.75*y - t^5.25*y - t^5.94*y - t^6.*y - t^6.75*y - t^7.44*y - t^7.5*y - t^8.13*y + t^8.19*y + 2*t^8.88*y + t^8.94*y - t^8.94*y^2 | g1^2*t^2.19 + t^2.25 + 2*t^3. + 2*g1^2*t^3.69 + t^3.75 + t^3.81/g1^2 + g1^4*t^4.38 + g1^2*t^4.44 + 3*t^4.5 + 2*g1^2*t^5.19 + 2*t^5.25 + 2*g1^4*t^5.88 + 2*g1^2*t^5.94 + 2*t^6. + g1^6*t^6.58 + g1^4*t^6.63 + 5*g1^2*t^6.69 + 3*t^6.75 + 5*g1^4*t^7.38 + 3*g1^2*t^7.44 + 6*t^7.5 + t^7.62/g1^4 + 2*g1^6*t^8.08 + 2*g1^4*t^8.13 + 5*g1^2*t^8.19 + t^8.25 + g1^8*t^8.77 + g1^6*t^8.83 + 5*g1^4*t^8.88 + g1^2*t^8.94 - (g1^2*t^8.94)/y^2 - t^3.75/y - t^5.25/y - (g1^2*t^5.94)/y - t^6./y - t^6.75/y - (g1^2*t^7.44)/y - t^7.5/y - (g1^4*t^8.13)/y + (g1^2*t^8.19)/y + (2*g1^4*t^8.88)/y + (g1^2*t^8.94)/y - t^3.75*y - t^5.25*y - g1^2*t^5.94*y - t^6.*y - t^6.75*y - g1^2*t^7.44*y - t^7.5*y - g1^4*t^8.13*y + g1^2*t^8.19*y + 2*g1^4*t^8.88*y + g1^2*t^8.94*y - g1^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 8467 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_2\phi_1q_1q_2$ | 0.9438 | 1.07 | 0.882 | [X:[1.5, 1.5], M:[1.2307, 1.25], q:[0.2596, 0.2404], qb:[], phi:[0.25]] | t^2.19 + 2*t^3. + 2*t^3.69 + 2*t^3.75 + t^3.81 + t^4.38 + 2*t^4.5 + 2*t^5.19 + 2*t^5.88 + t^5.94 + t^6. - t^3.75/y - t^5.25/y - t^5.94/y - t^3.75*y - t^5.25*y - t^5.94*y | detail | |
| 8465 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_2\phi_1q_2^2$ | 0.9434 | 1.0684 | 0.883 | [X:[1.5, 1.5], M:[1.25, 1.25], q:[0.25, 0.25], qb:[], phi:[0.25]] | t^2.25 + 2*t^3. + 5*t^3.75 + 3*t^4.5 + 2*t^5.25 + 3*t^6. - t^3.75/y - t^5.25/y - t^6./y - t^3.75*y - t^5.25*y - t^6.*y | detail | {a: 483/512, c: 547/512, X1: 3/2, X2: 3/2, M1: 5/4, M2: 5/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8191 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 1.1686 | 1.2966 | 0.9013 | [X:[1.6354], M:[0.8685], q:[0.4746, 0.4317], qb:[], phi:[0.1823]] | t^2.19 + t^2.61 + t^2.72 + t^3.14 + t^3.27 + t^3.81 + t^4.23 + t^4.36 + t^4.37 + t^4.49 + t^4.79 + 2*t^4.91 + t^5.21 + 2*t^5.32 + t^5.44 + t^5.45 + t^5.74 + t^5.86 + t^5.98 - 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 |