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 |
---|---|---|---|---|---|---|---|---|---|
79575 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }S_{2}^{2}X_{1}$ | 1.7968 | 1.9129 | 0.9393 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.8571, 0.2857], Sb:[], A:[], Ab:[]] | [X:[[0]], M:[[0], [0]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]] | 1 | {a: 9861/5488, c: 5249/2744, X1: 10/7, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 6/7, S2: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{2}^{4}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }S_{1}^{2}$, ${ }q_{1}q_{2}S_{2}^{2}$, ${ }S_{1}S_{2}^{3}$ | ${}q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}^{3}$, ${ }q_{1}q_{2}S_{2}^{3}$, ${ }q_{2}^{2}S_{2}^{3}$, ${ }M_{2}S_{2}^{4}$ | 2 | 2*t^2.571 + t^3.429 + 3*t^4.286 + 6*t^5.143 + 2*t^6. + 6*t^6.857 + 11*t^7.714 + 7*t^8.571 - t^3.857/y - (2*t^5.571)/y - t^6.429/y - (2*t^7.286)/y - (4*t^8.143)/y - t^3.857*y - 2*t^5.571*y - t^6.429*y - 2*t^7.286*y - 4*t^8.143*y | 2*t^2.571 + t^3.429 + t^4.286 + t^4.286/g1^2 + g1^2*t^4.286 + 6*t^5.143 + t^6./g1^2 + g1^2*t^6. + 4*t^6.857 + t^6.857/g1^2 + g1^2*t^6.857 + 9*t^7.714 + t^7.714/g1^2 + g1^2*t^7.714 + 3*t^8.571 + t^8.571/g1^4 + t^8.571/g1^2 + g1^2*t^8.571 + g1^4*t^8.571 - t^3.857/y - (2*t^5.571)/y - t^6.429/y - (2*t^7.286)/y - (2*t^8.143)/y - t^8.143/(g1^2*y) - (g1^2*t^8.143)/y - t^3.857*y - 2*t^5.571*y - t^6.429*y - 2*t^7.286*y - 2*t^8.143*y - (t^8.143*y)/g1^2 - g1^2*t^8.143*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 |
---|---|---|---|---|---|---|---|---|
79683 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }S_{2}^{2}X_{1}$ + ${ }M_{3}S_{2}^{4}$ | 1.8094 | 1.9344 | 0.9354 | [X:[1.4286], M:[0.8571, 0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.8571, 0.2857], Sb:[], A:[], Ab:[]] | 3*t^2.571 + 3*t^4.286 + 9*t^5.143 - t^3.857/y - (2*t^5.571)/y - t^3.857*y - 2*t^5.571*y | detail | {a: 4965/2744, c: 1327/686, X1: 10/7, M1: 6/7, M2: 6/7, M3: 6/7, q1: 4/7, q2: 4/7, S1: 6/7, S2: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
79529 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.4052 | 2.5481 | 0.9439 | [X:[], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | 2*t^2.571 + 2*t^3.429 + 9*t^5.143 - 3*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 825/343, c: 874/343, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |