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 |
|---|---|---|---|---|---|---|---|---|---|
| 8221 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}q_{1}q_{2}$ | 1.0005 | 1.1724 | 0.8534 | [X:[1.5, 1.5], M:[0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 2049/2048, c: 2401/2048, X1: 3/2, X2: 3/2, M1: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{1}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}^{3}q_{2}$, ${ }M_{1}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{1}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{3}q_{2}$, ${ }M_{1}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{4}$, ${ }\phi_{1}^{5}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}q_{1}q_{2}$, ${ }\phi_{1}^{5}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}q_{2}$, ${ }\phi_{1}^{5}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}^{3}$, ${ }\phi_{1}^{5}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}q_{2}$, ${ }\phi_{1}^{5}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}^{3}$ | ${}M_{1}\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{4}q_{1}^{4}$, ${ }\phi_{1}^{6}q_{1}q_{2}$, ${ }\phi_{1}^{4}q_{1}^{3}q_{2}$, ${ }M_{1}\phi_{1}^{3}q_{2}^{2}$, ${ 2}\phi_{1}^{4}q_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{4}q_{1}q_{2}^{3}$, ${ }\phi_{1}^{4}q_{2}^{4}$ | 6 | 4*t^2.25 + 2*t^3. + 2*t^3.75 + 12*t^4.5 + 8*t^5.25 + 6*t^6. + 26*t^6.75 + 22*t^7.5 + 10*t^8.25 - t^3.75/y - t^5.25/y - (4*t^6.)/y - t^6.75/y + (3*t^7.5)/y - (3*t^8.25)/y - t^3.75*y - t^5.25*y - 4*t^6.*y - t^6.75*y + 3*t^7.5*y - 3*t^8.25*y | 2*t^2.25 + t^2.25/g1^2 + g1^2*t^2.25 + 2*t^3. + t^3.75/g1^2 + g1^2*t^3.75 + 6*t^4.5 + t^4.5/g1^4 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + g1^4*t^4.5 + 4*t^5.25 + (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. + 8*t^6.75 + t^6.75/g1^6 + (2*t^6.75)/g1^4 + (6*t^6.75)/g1^2 + 6*g1^2*t^6.75 + 2*g1^4*t^6.75 + g1^6*t^6.75 + 10*t^7.5 + (3*t^7.5)/g1^4 + (3*t^7.5)/g1^2 + 3*g1^2*t^7.5 + 3*g1^4*t^7.5 + t^8.25/g1^6 + t^8.25/g1^4 + (3*t^8.25)/g1^2 + 3*g1^2*t^8.25 + g1^4*t^8.25 + g1^6*t^8.25 - t^3.75/y - t^5.25/y - (2*t^6.)/y - t^6./(g1^2*y) - (g1^2*t^6.)/y - t^6.75/y + t^7.5/y + t^7.5/(g1^2*y) + (g1^2*t^7.5)/y - t^8.25/y - t^8.25/(g1^4*y) - (g1^4*t^8.25)/y - t^3.75*y - t^5.25*y - 2*t^6.*y - (t^6.*y)/g1^2 - g1^2*t^6.*y - t^6.75*y + t^7.5*y + (t^7.5*y)/g1^2 + g1^2*t^7.5*y - t^8.25*y - (t^8.25*y)/g1^4 - 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 |
|---|---|---|---|---|---|---|---|---|
| 8458 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ | 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]] | 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^3.75/y - t^5.25/y - t^5.94/y - (2*t^6.)/y - t^3.75*y - t^5.25*y - t^5.94*y - 2*t^6.*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 79601 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ | 1.0005 | 1.1724 | 0.8534 | [X:[1.5], M:[0.75, 1.5], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | 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, M1: 3/4, M2: 3/2, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8189 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ | 0.9814 | 1.1377 | 0.8627 | [X:[1.5, 1.5], M:[], q:[0.25, 0.25], qb:[], phi:[0.25]] | 3*t^2.25 + 2*t^3. + 3*t^3.75 + 8*t^4.5 + 6*t^5.25 + 7*t^6. - t^3.75/y - t^5.25/y - (3*t^6.)/y - t^3.75*y - t^5.25*y - 3*t^6.*y | detail | {a: 1005/1024, c: 1165/1024, X1: 3/2, X2: 3/2, q1: 1/4, q2: 1/4, phi1: 1/4} |