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 |
---|---|---|---|---|---|---|---|---|---|
79537 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.2204 | 2.3724 | 0.9359 | [X:[], M:[1.0, 0.9009], q:[0.6914, 0.3086], qb:[], phi:[], S:[0.6171, 0.5495], Sb:[], A:[], Ab:[]] | [X:[], M:[[0], [-4]], q:[[1], [-1]], qb:[], phi:[], S:[[-2], [2]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}^{2}S_{2}$, ${ }S_{1}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }S_{1}^{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{1}S_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | t^2.703 + t^3. + 2*t^3.5 + 2*t^3.703 + t^4.649 + t^5.351 + t^5.405 + t^5.703 - 2*t^6. + t^6.297 + 2*t^6.405 + 3*t^6.5 + t^6.595 + 2*t^6.703 + 2*t^6.797 + 7*t^7. - 2*t^7.149 + 7*t^7.203 + 5*t^7.405 - t^7.649 - 2*t^7.851 + t^7.946 + t^8.108 + 4*t^8.149 - t^8.297 + 4*t^8.351 + t^8.405 + 2*t^8.649 - 2*t^8.703 - 3*t^8.797 + 4*t^8.851 - t^4.649/y - t^4.851/y + t^7.149/y - t^7.554/y - t^7.649/y - t^7.851/y - t^7.946/y - (3*t^8.149)/y - (5*t^8.351)/y - (3*t^8.554)/y + t^8.703/y - t^4.649*y - t^4.851*y + t^7.149*y - t^7.554*y - t^7.649*y - t^7.851*y - t^7.946*y - 3*t^8.149*y - 5*t^8.351*y - 3*t^8.554*y + t^8.703*y | t^2.703/g1^4 + t^3. + 2*t^3.5 + (2*t^3.703)/g1^4 + g1^2*t^4.649 + t^5.351/g1^2 + t^5.405/g1^8 + t^5.703/g1^4 - 2*t^6. + g1^4*t^6.297 + (2*t^6.405)/g1^8 + 3*t^6.5 + g1^8*t^6.595 + (2*t^6.703)/g1^4 + 2*g1^4*t^6.797 + 7*t^7. - 2*g1^2*t^7.149 + (7*t^7.203)/g1^4 + (5*t^7.405)/g1^8 - g1^2*t^7.649 - (2*t^7.851)/g1^2 + g1^6*t^7.946 + t^8.108/g1^12 + 4*g1^2*t^8.149 - g1^4*t^8.297 + (4*t^8.351)/g1^2 + t^8.405/g1^8 + 2*g1^2*t^8.649 - (2*t^8.703)/g1^4 - 3*g1^4*t^8.797 + (4*t^8.851)/g1^2 - (g1^2*t^4.649)/y - t^4.851/(g1^2*y) + (g1^2*t^7.149)/y - t^7.554/(g1^6*y) - (g1^2*t^7.649)/y - t^7.851/(g1^2*y) - (g1^6*t^7.946)/y - (3*g1^2*t^8.149)/y - (5*t^8.351)/(g1^2*y) - (3*t^8.554)/(g1^6*y) + t^8.703/(g1^4*y) - g1^2*t^4.649*y - (t^4.851*y)/g1^2 + g1^2*t^7.149*y - (t^7.554*y)/g1^6 - g1^2*t^7.649*y - (t^7.851*y)/g1^2 - g1^6*t^7.946*y - 3*g1^2*t^8.149*y - (5*t^8.351*y)/g1^2 - (3*t^8.554*y)/g1^6 + (t^8.703*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
79611 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{3}q_{2}^{2}S_{1}$ | 2.239 | 2.4057 | 0.9307 | [X:[], M:[1.0, 0.9115, 0.7552], q:[0.6888, 0.3112], qb:[], phi:[], S:[0.6224, 0.5443], Sb:[], A:[], Ab:[]] | t^2.266 + t^2.734 + t^3. + 2*t^3.5 + t^3.734 + t^4.531 + t^4.633 + t^5. + t^5.266 + t^5.367 + t^5.469 + t^5.734 + 2*t^5.766 - t^6. - t^4.633/y - t^4.867/y - t^4.633*y - t^4.867*y | detail | {a: 110051/49152, c: 118243/49152, M1: 1, M2: 175/192, M3: 145/192, q1: 529/768, q2: 239/768, S1: 239/384, S2: 209/384} |
79610 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{3}q_{2}^{2}S_{2}$ | 2.2347 | 2.3972 | 0.9322 | [X:[], M:[1.0, 0.9009, 0.8333], q:[0.6914, 0.3086], qb:[], phi:[], S:[0.6171, 0.5495], Sb:[], A:[], Ab:[]] | t^2.5 + t^2.703 + t^3. + t^3.5 + 2*t^3.703 + t^4.649 + t^5. + t^5.203 + t^5.351 + t^5.405 + t^5.5 + t^5.703 - t^6. - t^4.649/y - t^4.851/y - t^4.649*y - t^4.851*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
79492 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.3581 | 2.5155 | 0.9374 | [X:[], M:[1.0, 0.8149], q:[0.5, 0.5], qb:[], phi:[], S:[0.5741, 0.5926], Sb:[], A:[], Ab:[]] | t^2.445 + t^3. + t^3.445 + t^3.5 + 3*t^4.722 + 3*t^4.778 + t^4.889 + t^5.445 + t^5.889 - 4*t^6. - t^4.722/y - t^4.778/y - t^4.722*y - t^4.778*y | detail |