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 |
|---|---|---|---|---|---|---|---|---|---|
| 45601 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}\phi_{1}^{4}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{6}$ | 1.5382 | 1.5897 | 0.9676 | [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 1.2941], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 60459/39304, c: 31241/19652, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 22/17, q1: 12/17, q2: 10/17, phi1: 4/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}^{2}$, ${ }M_{6}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 1 | t^2.47 + t^2.82 + t^3.18 + t^3.53 + t^3.88 + t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.29 + t^5.65 + t^6. + t^6.35 + 2*t^6.71 + 3*t^7.06 + 5*t^7.41 + 4*t^7.76 + 5*t^8.12 + 4*t^8.47 + 4*t^8.82 + t^8.82/y^2 - t^3.71/y - t^5.12/y - t^5.47/y - t^5.82/y - t^6.18/y - t^6.53/y - t^6.88/y - t^7.24/y - t^7.59/y - (2*t^7.94)/y - (2*t^8.29)/y - (2*t^8.65)/y - t^3.71*y - t^5.12*y - t^5.47*y - t^5.82*y - t^6.18*y - t^6.53*y - t^6.88*y - t^7.24*y - t^7.59*y - 2*t^7.94*y - 2*t^8.29*y - 2*t^8.65*y + t^8.82*y^2 | t^2.47 + t^2.82 + t^3.18 + t^3.53 + t^3.88 + t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.29 + t^5.65 + t^6. + t^6.35 + 2*t^6.71 + 3*t^7.06 + 5*t^7.41 + 4*t^7.76 + 5*t^8.12 + 4*t^8.47 + 4*t^8.82 + t^8.82/y^2 - t^3.71/y - t^5.12/y - t^5.47/y - t^5.82/y - t^6.18/y - t^6.53/y - t^6.88/y - t^7.24/y - t^7.59/y - (2*t^7.94)/y - (2*t^8.29)/y - (2*t^8.65)/y - t^3.71*y - t^5.12*y - t^5.47*y - t^5.82*y - t^6.18*y - t^6.53*y - t^6.88*y - t^7.24*y - t^7.59*y - 2*t^7.94*y - 2*t^8.29*y - 2*t^8.65*y + t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 45607 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}\phi_{1}^{4}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ | 1.5328 | 1.5806 | 0.9698 | [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 1.2941, 1.0588], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] | t^2.47 + 2*t^3.18 + t^3.53 + t^3.88 + t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.65 - t^3.71/y - t^5.12/y - t^5.47/y - t^5.82/y - t^3.71*y - t^5.12*y - t^5.47*y - t^5.82*y | detail | {a: 120489/78608, c: 62123/39304, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 22/17, M7: 18/17, q1: 12/17, q2: 10/17, phi1: 4/17} |
| 45604 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}\phi_{1}^{4}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}^{2}$ | 1.5532 | 1.6157 | 0.9613 | [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 1.2941, 0.8235], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] | 2*t^2.47 + t^2.82 + t^3.18 + t^3.88 + t^4.24 + 2*t^4.59 + 4*t^4.94 + 2*t^5.29 + 2*t^5.65 - t^3.71/y - t^5.12/y - t^5.47/y - t^5.82/y - t^3.71*y - t^5.12*y - t^5.47*y - t^5.82*y | detail | {a: 122097/78608, c: 63505/39304, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 22/17, M7: 14/17, q1: 12/17, q2: 10/17, phi1: 4/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45580 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}\phi_{1}^{4}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}X_{2}$ | 1.5587 | 1.6285 | 0.9571 | [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] | t^2.12 + t^2.47 + t^2.82 + t^3.18 + t^3.53 + 2*t^4.24 + 3*t^4.59 + 3*t^4.94 + 2*t^5.29 + 2*t^5.65 + t^6. - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y | detail | {a: 122523/78608, c: 64007/39304, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, q1: 12/17, q2: 10/17, phi1: 4/17} |