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 |
---|---|---|---|---|---|---|---|---|---|
79541 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{1}^{2}$ | 2.3558 | 2.4897 | 0.9462 | [X:[], M:[1.0, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5, 0.6429], Sb:[], A:[], Ab:[]] | [X:[], M:[[0], [0]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]] | 1 | {a: 25857/10976, c: 27327/10976, M1: 1, M2: 6/7, q1: 4/7, q2: 4/7, S1: 1/2, S2: 9/14} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{2}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}S_{1}^{4}$ | -2 | t^2.571 + t^3. + t^3.429 + t^3.857 + 3*t^4.929 + t^5.143 + 3*t^5.357 - 2*t^6. + 3*t^6.429 + 8*t^6.857 + 3*t^7.286 - 4*t^7.5 + 3*t^7.714 + 2*t^7.929 + 13*t^8.357 + 13*t^8.786 - t^4.5/y - t^4.929/y - (2*t^7.5)/y - (3*t^7.929)/y - (3*t^8.357)/y + t^8.571/y - (2*t^8.786)/y - t^4.5*y - t^4.929*y - 2*t^7.5*y - 3*t^7.929*y - 3*t^8.357*y + t^8.571*y - 2*t^8.786*y | t^2.571 + t^3. + t^3.429 + t^3.857 + t^4.929 + t^4.929/g1^2 + g1^2*t^4.929 + t^5.143 + t^5.357 + t^5.357/g1^2 + g1^2*t^5.357 - t^6./g1^2 - g1^2*t^6. + 3*t^6.429 + 6*t^6.857 + t^6.857/g1^2 + g1^2*t^6.857 + 3*t^7.286 - 2*t^7.5 - t^7.5/g1^2 - g1^2*t^7.5 + 3*t^7.714 + t^7.929/g1^2 + g1^2*t^7.929 + 5*t^8.357 + (4*t^8.357)/g1^2 + 4*g1^2*t^8.357 + 5*t^8.786 + (4*t^8.786)/g1^2 + 4*g1^2*t^8.786 - t^4.5/y - t^4.929/y - (2*t^7.5)/y - (3*t^7.929)/y - (3*t^8.357)/y + t^8.571/y - (2*t^8.786)/y - t^4.5*y - t^4.929*y - 2*t^7.5*y - 3*t^7.929*y - 3*t^8.357*y + t^8.571*y - 2*t^8.786*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 |
---|---|---|---|---|---|---|---|---|
79684 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.2635 | 2.3975 | 0.9441 | [X:[], M:[1.0, 0.8571], q:[0.75, 0.3929], qb:[], phi:[], S:[0.5, 0.6429], Sb:[], A:[], Ab:[]] | t^2.571 + t^3. + t^3.429 + 2*t^3.857 + t^4.286 + t^5.143 + t^5.357 + t^5.786 + t^6. - t^4.5/y - t^4.929/y - t^4.5*y - t^4.929*y | detail | {a: 49689/21952, c: 52629/21952, M1: 1, M2: 6/7, q1: 3/4, q2: 11/28, S1: 1/2, S2: 9/14} |
79694 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}S_{2}$ | 2.3226 | 2.4565 | 0.9455 | [X:[], M:[1.0, 0.8571], q:[0.4643, 0.6786], qb:[], phi:[], S:[0.5, 0.6429], Sb:[], A:[], Ab:[]] | t^2.571 + t^3. + t^3.429 + t^3.857 + t^4.286 + t^4.714 + t^4.929 + t^5.143 + t^5.571 + t^6. - t^4.5/y - t^4.929/y - t^4.5*y - t^4.929*y | detail | {a: 50985/21952, c: 53925/21952, M1: 1, M2: 6/7, q1: 13/28, q2: 19/28, S1: 1/2, S2: 9/14} |
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 |
---|---|---|---|---|---|---|---|---|---|
79493 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.406 | 2.5501 | 0.9435 | [X:[], M:[0.8374, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5813, 0.5616], Sb:[], A:[], Ab:[]] | t^2.512 + t^2.571 + t^3.369 + t^3.429 + t^5.024 + t^5.084 + 3*t^5.113 + t^5.143 + 3*t^5.172 + t^5.881 + t^5.941 - 4*t^6. - t^4.685/y - t^4.744/y - t^4.685*y - t^4.744*y | detail |