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 |
|---|---|---|---|---|---|---|---|---|---|
| 8458 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1q_2$ + $ M_2\phi_1q_1^2$ | 0.9818 | 1.1393 | 0.8618 | [X:[1.5, 1.5], M:[0.75, 1.2307], q:[0.2596, 0.2404], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[0], [2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1q_2^2$, $ \phi_1^2q_1q_2^3$, $ M_1^2$, $ M_1\phi_1q_1q_2$, $ \phi_1^2q_1^2q_2^2$, $ X_1$, $ X_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1q_2^3$, $ M_1\phi_1^4$, $ M_1\phi_1^2q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^3q_1^2q_2^2$, $ M_2\phi_1q_2^2$, $ \phi_1^4q_2^4$, $ M_1M_2$, $ M_2\phi_1q_1q_2$, $ M_1\phi_1^3q_2^2$, $ \phi_1^4q_1q_2^3$ | $\phi_1^6q_1q_2$, $ \phi_1^4q_1^2q_2^2$ | 1 | t^2.19 + 2*t^2.25 + 2*t^3. + 2*t^3.69 + t^3.81 + t^4.38 + 2*t^4.44 + 5*t^4.5 + 2*t^5.19 + 4*t^5.25 + 2*t^5.88 + 3*t^5.94 + t^6. + t^6.06 + t^6.58 + 2*t^6.63 + 7*t^6.69 + 6*t^6.75 + 5*t^7.38 + 3*t^7.44 + 9*t^7.5 - t^7.56 + t^7.62 + 2*t^8.08 + 3*t^8.13 + 7*t^8.19 - t^8.25 + t^8.31 + t^8.77 + 2*t^8.83 + 7*t^8.88 + 6*t^8.94 - t^8.94/y^2 - t^3.75/y - t^5.25/y - t^5.94/y - (2*t^6.)/y - t^6.75/y - t^8.13/y + (2*t^8.88)/y + (2*t^8.94)/y - t^3.75*y - t^5.25*y - t^5.94*y - 2*t^6.*y - t^6.75*y - t^8.13*y + 2*t^8.88*y + 2*t^8.94*y - t^8.94*y^2 | g1^2*t^2.19 + 2*t^2.25 + 2*t^3. + 2*g1^2*t^3.69 + t^3.81/g1^2 + g1^4*t^4.38 + 2*g1^2*t^4.44 + 5*t^4.5 + 2*g1^2*t^5.19 + 4*t^5.25 + 2*g1^4*t^5.88 + 3*g1^2*t^5.94 + t^6. + t^6.06/g1^2 + g1^6*t^6.58 + 2*g1^4*t^6.63 + 7*g1^2*t^6.69 + 6*t^6.75 + 5*g1^4*t^7.38 + 3*g1^2*t^7.44 + 9*t^7.5 - t^7.56/g1^2 + t^7.62/g1^4 + 2*g1^6*t^8.08 + 3*g1^4*t^8.13 + 7*g1^2*t^8.19 - t^8.25 + t^8.31/g1^2 + g1^8*t^8.77 + 2*g1^6*t^8.83 + 7*g1^4*t^8.88 + 6*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 - (2*t^6.)/y - t^6.75/y - (g1^4*t^8.13)/y + (2*g1^4*t^8.88)/y + (2*g1^2*t^8.94)/y - t^3.75*y - t^5.25*y - g1^2*t^5.94*y - 2*t^6.*y - t^6.75*y - g1^4*t^8.13*y + 2*g1^4*t^8.88*y + 2*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8221 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1q_2$ | 1.0005 | 1.1724 | 0.8534 | [X:[1.5, 1.5], M:[0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] | 4*t^2.25 + 2*t^3. + 2*t^3.75 + 12*t^4.5 + 8*t^5.25 + 6*t^6. - t^3.75/y - t^5.25/y - (4*t^6.)/y - t^3.75*y - t^5.25*y - 4*t^6.*y | detail | {a: 2049/2048, c: 2401/2048, X1: 3/2, X2: 3/2, M1: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4} |