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 |
---|---|---|---|---|---|---|---|---|---|
79516 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.2123 | 2.3581 | 0.9382 | [X:[], M:[1.0], q:[0.686, 0.314], qb:[], phi:[], S:[0.628, 0.5387], Sb:[], A:[], Ab:[]] | [X:[], M:[[0]], q:[[1], [-1]], qb:[], phi:[], S:[[-2], [2]], Sb:[], A:[], Ab:[]] | 1 | {a: 95147/43008, c: 101419/43008, M1: 1, q1: 461/672, q2: 211/672, S1: 211/336, S2: 181/336} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }S_{1}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }S_{1}^{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{1}S_{2}$ | ${}$ | -2 | t^3. + t^3.232 + 2*t^3.5 + 2*t^3.768 + t^4.616 + t^5.384 - 2*t^6. + 2*t^6.232 - 2*t^6.268 + 2*t^6.464 + 3*t^6.5 + 4*t^6.732 + 2*t^6.768 + 9*t^7. - 2*t^7.116 + 7*t^7.268 - t^7.384 + 5*t^7.536 - t^7.616 + 2*t^7.848 - 2*t^7.884 + 4*t^8.116 - t^8.152 - t^8.232 + 4*t^8.384 + 3*t^8.616 - 3*t^8.732 + 4*t^8.884 - t^4.616/y - t^4.884/y + t^7.116/y + t^7.384/y - t^7.616/y - (2*t^7.848)/y - t^7.884/y - (4*t^8.116)/y - (5*t^8.384)/y - (3*t^8.652)/y - t^4.616*y - t^4.884*y + t^7.116*y + t^7.384*y - t^7.616*y - 2*t^7.848*y - t^7.884*y - 4*t^8.116*y - 5*t^8.384*y - 3*t^8.652*y | t^3. + g1^4*t^3.232 + 2*t^3.5 + (2*t^3.768)/g1^4 + g1^2*t^4.616 + t^5.384/g1^2 - 2*t^6. + 2*g1^4*t^6.232 - (2*t^6.268)/g1^4 + 2*g1^8*t^6.464 + 3*t^6.5 + 4*g1^4*t^6.732 + (2*t^6.768)/g1^4 + 9*t^7. - 2*g1^2*t^7.116 + (7*t^7.268)/g1^4 - t^7.384/g1^2 + (5*t^7.536)/g1^8 - g1^2*t^7.616 + 2*g1^6*t^7.848 - (2*t^7.884)/g1^2 + 4*g1^2*t^8.116 - t^8.152/g1^6 - g1^4*t^8.232 + (4*t^8.384)/g1^2 + 3*g1^2*t^8.616 - 3*g1^4*t^8.732 + (4*t^8.884)/g1^2 - (g1^2*t^4.616)/y - t^4.884/(g1^2*y) + (g1^2*t^7.116)/y + t^7.384/(g1^2*y) - (g1^2*t^7.616)/y - (2*g1^6*t^7.848)/y - t^7.884/(g1^2*y) - (4*g1^2*t^8.116)/y - (5*t^8.384)/(g1^2*y) - (3*t^8.652)/(g1^6*y) - g1^2*t^4.616*y - (t^4.884*y)/g1^2 + g1^2*t^7.116*y + (t^7.384*y)/g1^2 - g1^2*t^7.616*y - 2*g1^6*t^7.848*y - (t^7.884*y)/g1^2 - 4*g1^2*t^8.116*y - (5*t^8.384*y)/g1^2 - (3*t^8.652*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
79554 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{2}q_{2}^{2}S_{2}$ | 2.2266 | 2.3829 | 0.9344 | [X:[], M:[1.0, 0.8333], q:[0.686, 0.314], qb:[], phi:[], S:[0.628, 0.5387], Sb:[], A:[], Ab:[]] | t^2.5 + t^3. + t^3.232 + t^3.5 + 2*t^3.768 + t^4.616 + t^5. + t^5.384 + t^5.5 + t^5.732 - t^6. - t^4.616/y - t^4.884/y - t^4.616*y - t^4.884*y | detail | {a: 31921/14336, c: 34161/14336, M1: 1, M2: 5/6, q1: 461/672, q2: 211/672, S1: 211/336, S2: 181/336} |
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 |
---|---|---|---|---|---|---|---|---|---|
79485 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 2.3431 | 2.4889 | 0.9414 | [X:[], M:[1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]] | t^3. + 3*t^3.5 + 6*t^4.75 - 6*t^6. - (2*t^4.75)/y - 2*t^4.75*y | detail | {a: 3599/1536, c: 3823/1536, M1: 1, q1: 1/2, q2: 1/2, S1: 7/12, S2: 7/12} |