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 |
---|---|---|---|---|---|---|---|---|---|
79473 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ | 2.3983 | 2.5185 | 0.9523 | [X:[], M:[0.8718], q:[0.6154, 0.6154], qb:[], phi:[], S:[0.5641, 0.5641], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -1, -1]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 | {a: 6485/2704, c: 3405/1352, M1: 34/39, q1: 8/13, q2: 8/13, S1: 22/39, S2: 22/39} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -5 | t^2.615 + 2*t^3.385 + t^3.692 + t^5.231 + 6*t^5.385 - 5*t^6. + t^6.308 + 9*t^6.769 + 8*t^7.077 + t^7.385 - 8*t^7.692 + t^7.846 + 3*t^8.308 - 4*t^8.615 + 32*t^8.769 + t^8.923 - (2*t^4.692)/y - (8*t^8.077)/y - (2*t^8.385)/y - 2*t^4.692*y - 8*t^8.077*y - 2*t^8.385*y | t^2.615/(g2*g3) + g2^2*t^3.385 + g3^2*t^3.385 + t^3.692/(g2^6*g3^6) + t^5.231/(g2^2*g3^2) + g1^2*g2*t^5.385 + t^5.385/(g1^2*g2^11*g3^12) + t^5.385/(g1^2*g2^12*g3^11) + t^5.385/(g2^5*g3^6) + t^5.385/(g2^6*g3^5) + g1^2*g3*t^5.385 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - g1^2*g2^6*g3^6*t^6. + t^6.308/(g2^7*g3^7) + 2*g2^4*t^6.769 + g2^3*g3*t^6.769 + 3*g2^2*g3^2*t^6.769 + g2*g3^3*t^6.769 + 2*g3^4*t^6.769 + t^7.077/(g1^2*g2^11*g3^11) + (2*t^7.077)/(g2^4*g3^6) + (2*t^7.077)/(g2^5*g3^5) + (2*t^7.077)/(g2^6*g3^4) + g1^2*g2*g3*t^7.077 + t^7.385/(g2^12*g3^12) - 2*g2*t^7.692 - t^7.692/(g1^2*g2^5*g3^6) - t^7.692/(g1^2*g2^6*g3^5) - 2*g3*t^7.692 - g1^2*g2^7*g3^6*t^7.692 - g1^2*g2^6*g3^7*t^7.692 + t^7.846/(g2^3*g3^3) + t^8.308/g1^2 + g2^6*g3^6*t^8.308 + g1^2*g2^12*g3^12*t^8.308 - t^8.615/(g1^2*g2^7*g3^7) - (2*t^8.615)/(g2*g3) - g1^2*g2^5*g3^5*t^8.615 + 2*g1^2*g2^3*t^8.769 + (2*t^8.769)/(g1^2*g2^9*g3^12) + (3*t^8.769)/(g1^2*g2^10*g3^11) + (3*t^8.769)/(g1^2*g2^11*g3^10) + (2*t^8.769)/(g1^2*g2^12*g3^9) + (2*t^8.769)/(g2^3*g3^6) + (4*t^8.769)/(g2^4*g3^5) + (4*t^8.769)/(g2^5*g3^4) + (2*t^8.769)/(g2^6*g3^3) + 3*g1^2*g2^2*g3*t^8.769 + 3*g1^2*g2*g3^2*t^8.769 + 2*g1^2*g3^3*t^8.769 + t^8.923/(g2^8*g3^8) - (g2*t^4.692)/y - (g3*t^4.692)/y - (2*g2^3*t^8.077)/y - (2*g2^2*g3*t^8.077)/y - (2*g2*g3^2*t^8.077)/y - (2*g3^3*t^8.077)/y - t^8.385/(g2^5*g3^6*y) - t^8.385/(g2^6*g3^5*y) - g2*t^4.692*y - g3*t^4.692*y - 2*g2^3*t^8.077*y - 2*g2^2*g3*t^8.077*y - 2*g2*g3^2*t^8.077*y - 2*g3^3*t^8.077*y - (t^8.385*y)/(g2^5*g3^6) - (t^8.385*y)/(g2^6*g3^5) |
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 |
---|---|---|---|---|---|---|---|---|
79486 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4171 | 2.5492 | 0.9482 | [X:[], M:[0.8763, 0.742], q:[0.629, 0.629], qb:[], phi:[], S:[0.5618, 0.5618], Sb:[], A:[], Ab:[]] | t^2.226 + t^2.629 + 2*t^3.371 + t^4.452 + t^4.855 + t^5.258 + 6*t^5.459 + 2*t^5.597 - 5*t^6. - (2*t^4.686)/y - 2*t^4.686*y | detail | |
79490 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.4106 | 2.5416 | 0.9485 | [X:[], M:[0.8703, 0.8499], q:[0.6109, 0.6109], qb:[], phi:[], S:[0.575, 0.5547], Sb:[], A:[], Ab:[]] | t^2.55 + t^2.611 + t^3.328 + t^3.666 + t^5.1 + t^5.161 + t^5.222 + 3*t^5.33 + 3*t^5.391 + t^5.878 - 5*t^6. - t^4.664/y - t^4.725/y - t^4.664*y - t^4.725*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 |
---|---|---|---|---|---|---|---|---|---|
79469 | Sp2s2nf1 | ${}$ | 2.3869 | 2.4977 | 0.9556 | [X:[], M:[], q:[0.6202, 0.6202], qb:[], phi:[], S:[0.5633, 0.5633], Sb:[], A:[], Ab:[]] | 3*t^3.38 + t^3.721 + 6*t^5.411 - 7*t^6. - (2*t^4.69)/y - 2*t^4.69*y | detail |