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 |
---|---|---|---|---|---|---|---|---|---|
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:[]] | [X:[], M:[], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -7 | 3*t^3.38 + t^3.721 + 6*t^5.411 - 7*t^6. + 12*t^6.76 + 9*t^7.101 + t^7.442 - 8*t^7.69 - 6*t^8.031 + 3*t^8.279 + t^8.62 + 38*t^8.791 - (2*t^4.69)/y + (2*t^7.31)/y - (10*t^8.07)/y - (2*t^8.411)/y - 2*t^4.69*y + 2*t^7.31*y - 10*t^8.07*y - 2*t^8.411*y | g2^2*t^3.38 + g2*g3*t^3.38 + g3^2*t^3.38 + t^3.721/(g2^6*g3^6) + g1^2*g2*t^5.411 + t^5.411/(g1^2*g2^11*g3^12) + t^5.411/(g1^2*g2^12*g3^11) + t^5.411/(g2^5*g3^6) + t^5.411/(g2^6*g3^5) + g1^2*g3*t^5.411 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - (g2*t^6.)/g3 - (g3*t^6.)/g2 - g1^2*g2^6*g3^6*t^6. + 2*g2^4*t^6.76 + 2*g2^3*g3*t^6.76 + 4*g2^2*g3^2*t^6.76 + 2*g2*g3^3*t^6.76 + 2*g3^4*t^6.76 + t^7.101/(g1^2*g2^11*g3^11) + (2*t^7.101)/(g2^4*g3^6) + (3*t^7.101)/(g2^5*g3^5) + (2*t^7.101)/(g2^6*g3^4) + g1^2*g2*g3*t^7.101 + t^7.442/(g2^12*g3^12) - 2*g2*t^7.69 - t^7.69/(g1^2*g2^5*g3^6) - t^7.69/(g1^2*g2^6*g3^5) - 2*g3*t^7.69 - g1^2*g2^7*g3^6*t^7.69 - g1^2*g2^6*g3^7*t^7.69 - (g1^2*t^8.031)/g2 - t^8.031/(g1^2*g2^12*g3^13) - t^8.031/(g1^2*g2^13*g3^12) - t^8.031/(g2^6*g3^7) - t^8.031/(g2^7*g3^6) - (g1^2*t^8.031)/g3 + t^8.279/g1^2 + g2^6*g3^6*t^8.279 + g1^2*g2^12*g3^12*t^8.279 + t^8.62/(g2*g3) + 2*g1^2*g2^3*t^8.791 + (2*t^8.791)/(g1^2*g2^9*g3^12) + (4*t^8.791)/(g1^2*g2^10*g3^11) + (4*t^8.791)/(g1^2*g2^11*g3^10) + (2*t^8.791)/(g1^2*g2^12*g3^9) + (2*t^8.791)/(g2^3*g3^6) + (5*t^8.791)/(g2^4*g3^5) + (5*t^8.791)/(g2^5*g3^4) + (2*t^8.791)/(g2^6*g3^3) + 4*g1^2*g2^2*g3*t^8.791 + 4*g1^2*g2*g3^2*t^8.791 + 2*g1^2*g3^3*t^8.791 - (g2*t^4.69)/y - (g3*t^4.69)/y + t^7.31/(g2*y) + t^7.31/(g3*y) - (2*g2^3*t^8.07)/y - (3*g2^2*g3*t^8.07)/y - (3*g2*g3^2*t^8.07)/y - (2*g3^3*t^8.07)/y - t^8.411/(g2^5*g3^6*y) - t^8.411/(g2^6*g3^5*y) - g2*t^4.69*y - g3*t^4.69*y + (t^7.31*y)/g2 + (t^7.31*y)/g3 - 2*g2^3*t^8.07*y - 3*g2^2*g3*t^8.07*y - 3*g2*g3^2*t^8.07*y - 2*g3^3*t^8.07*y - (t^8.411*y)/(g2^5*g3^6) - (t^8.411*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 |
---|---|---|---|---|---|---|---|---|
79474 | ${}M_{1}q_{1}q_{2}$ | 2.4061 | 2.5298 | 0.9511 | [X:[], M:[0.7345], q:[0.6327, 0.6327], qb:[], phi:[], S:[0.5612, 0.5612], Sb:[], A:[], Ab:[]] | t^2.204 + 3*t^3.367 + t^4.407 + 6*t^5.48 + 3*t^5.571 - 7*t^6. - (2*t^4.684)/y - 2*t^4.684*y | detail | |
79473 | ${}M_{1}S_{1}S_{2}$ | 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:[]] | t^2.615 + 2*t^3.385 + t^3.692 + t^5.231 + 6*t^5.385 - 5*t^6. - (2*t^4.692)/y - 2*t^4.692*y | detail | {a: 6485/2704, c: 3405/1352, M1: 34/39, q1: 8/13, q2: 8/13, S1: 22/39, S2: 22/39} |
79472 | ${}M_{1}S_{1}^{2}$ | 2.3991 | 2.5205 | 0.9518 | [X:[], M:[0.8514], q:[0.6156, 0.6156], qb:[], phi:[], S:[0.5743, 0.5539], Sb:[], A:[], Ab:[]] | t^2.554 + t^3.323 + t^3.384 + t^3.694 + t^5.109 + 3*t^5.355 + 3*t^5.417 + t^5.877 - 5*t^6. - t^4.662/y - t^4.723/y - t^4.662*y - t^4.723*y | detail | |
79471 | ${}q_{1}q_{2}S_{1}$ | 2.3603 | 2.4426 | 0.9663 | [X:[], M:[], q:[0.718, 0.718], qb:[], phi:[], S:[0.5641, 0.5299], Sb:[], A:[], Ab:[]] | t^3.18 + t^3.282 + t^3.384 + t^4.308 + 2*t^5.898 - 2*t^6. - t^4.59/y - t^4.692/y - t^4.59*y - t^4.692*y | detail | |
79470 | ${}q_{1}^{2}S_{2}$ | 2.3747 | 2.4723 | 0.9605 | [X:[], M:[], q:[0.7181, 0.6127], qb:[], phi:[], S:[0.5478, 0.5637], Sb:[], A:[], Ab:[]] | t^3.287 + t^3.335 + t^3.382 + t^3.993 + t^5.32 + t^5.367 + t^5.636 - 2*t^6. - t^4.643/y - t^4.691/y - t^4.643*y - t^4.691*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 |
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