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 |
---|---|---|---|---|---|---|---|---|---|
79502 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4078 | 2.5359 | 0.9495 | [X:[], M:[0.8515, 0.6768], q:[0.7129, 0.6103], qb:[], phi:[], S:[0.5385, 0.5743], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -4], [6, 12]], q:[[0, -1], [-6, -11]], qb:[], phi:[], S:[[1, 0], [0, 2]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}S_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{2}S_{1}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{1}S_{1}^{2}$, ${ }M_{1}S_{1}S_{2}$ | ${}$ | -2 | t^2.031 + t^2.554 + t^3.231 + t^3.338 + t^4.061 + t^4.585 + t^5.109 + t^5.262 + t^5.277 + t^5.369 + t^5.385 + t^5.585 + t^5.786 + t^5.893 - 2*t^6. + t^6.092 - t^6.107 - t^6.308 + 2*t^6.462 + 2*t^6.57 + t^6.615 + 3*t^6.677 + t^6.784 + t^6.891 + t^7. + t^7.139 + t^7.201 + t^7.292 + 2*t^7.308 + t^7.399 + t^7.415 + t^7.663 - t^7.723 + t^7.816 + t^7.832 - 2*t^8.031 - t^8.046 + t^8.122 - t^8.138 + t^8.14 - t^8.247 + t^8.34 - t^8.354 + t^8.447 + 2*t^8.493 + 2*t^8.509 - 3*t^8.554 + 2*t^8.6 + 4*t^8.616 + t^8.646 - t^8.662 + 3*t^8.707 + 3*t^8.723 + t^8.815 + 2*t^8.816 + t^8.83 - t^8.862 + t^8.922 + 3*t^8.924 - t^4.616/y - t^4.723/y - t^6.646/y - t^6.753/y - t^7.17/y + t^7.384/y + t^7.585/y - (2*t^7.847)/y - (3*t^7.954)/y - (2*t^8.061)/y - t^8.168/y + t^8.262/y + t^8.369/y - t^8.677/y - t^8.784/y + t^8.786/y + t^8.893/y - t^4.616*y - t^4.723*y - t^6.646*y - t^6.753*y - t^7.17*y + t^7.384*y + t^7.585*y - 2*t^7.847*y - 3*t^7.954*y - 2*t^8.061*y - t^8.168*y + t^8.262*y + t^8.369*y - t^8.677*y - t^8.784*y + t^8.786*y + t^8.893*y | g1^6*g2^12*t^2.031 + t^2.554/g2^4 + g1^2*t^3.231 + g1*g2^2*t^3.338 + g1^12*g2^24*t^4.061 + g1^6*g2^8*t^4.585 + t^5.109/g2^8 + g1^8*g2^12*t^5.262 + t^5.277/(g1^11*g2^22) + g1^7*g2^14*t^5.369 + t^5.385/(g1^12*g2^20) + t^5.585/(g1^5*g2^12) + (g1^2*t^5.786)/g2^4 + (g1*t^5.893)/g2^2 - 2*t^6. + g1^18*g2^36*t^6.092 - (g2^2*t^6.107)/g1 - g1^6*g2^10*t^6.308 + 2*g1^4*t^6.462 + 2*g1^3*g2^2*t^6.57 + g1^12*g2^20*t^6.615 + 3*g1^2*g2^4*t^6.677 + g1*g2^6*t^6.784 + g2^8*t^6.891 + t^7./(g1^11*g2^20) + g1^6*g2^4*t^7.139 + t^7.201/(g1^4*g2^12) + g1^14*g2^24*t^7.292 + (2*t^7.308)/(g1^5*g2^10) + g1^13*g2^26*t^7.399 + t^7.415/(g1^6*g2^8) + t^7.663/g2^12 - g2^2*t^7.723 + g1^8*g2^8*t^7.816 + t^7.832/(g1^11*g2^26) - 2*g1^6*g2^12*t^8.031 - t^8.046/(g1^13*g2^22) + g1^24*g2^48*t^8.122 - g1^5*g2^14*t^8.138 + t^8.14/(g1^5*g2^16) - t^8.247/(g1^6*g2^14) + (g1^2*t^8.34)/g2^8 - t^8.354/(g1^7*g2^12) + (g1*t^8.447)/g2^6 + 2*g1^10*g2^12*t^8.493 + (2*t^8.509)/(g1^9*g2^22) - (3*t^8.554)/g2^4 + 2*g1^9*g2^14*t^8.6 + (4*t^8.616)/(g1^10*g2^20) + g1^18*g2^32*t^8.646 - t^8.662/(g1*g2^2) + 3*g1^8*g2^16*t^8.707 + (3*t^8.723)/(g1^11*g2^18) + g1^7*g2^18*t^8.815 + (2*t^8.816)/(g1^3*g2^12) + t^8.83/(g1^12*g2^16) - g1^6*g2^6*t^8.862 + g1^6*g2^20*t^8.922 + (3*t^8.924)/(g1^4*g2^10) - (g1*t^4.616)/y - (g2^2*t^4.723)/y - (g1^7*g2^12*t^6.646)/y - (g1^6*g2^14*t^6.753)/y - (g1*t^7.17)/(g2^4*y) + t^7.384/(g1*y) + (g1^6*g2^8*t^7.585)/y - (2*g1^3*t^7.847)/y - (3*g1^2*g2^2*t^7.954)/y - (2*g1*g2^4*t^8.061)/y - (g2^6*t^8.168)/y + (g1^8*g2^12*t^8.262)/y + (g1^7*g2^14*t^8.369)/y - (g1^13*g2^24*t^8.677)/y - (g1^12*g2^26*t^8.784)/y + (g1^2*t^8.786)/(g2^4*y) + (g1*t^8.893)/(g2^2*y) - g1*t^4.616*y - g2^2*t^4.723*y - g1^7*g2^12*t^6.646*y - g1^6*g2^14*t^6.753*y - (g1*t^7.17*y)/g2^4 + (t^7.384*y)/g1 + g1^6*g2^8*t^7.585*y - 2*g1^3*t^7.847*y - 3*g1^2*g2^2*t^7.954*y - 2*g1*g2^4*t^8.061*y - g2^6*t^8.168*y + g1^8*g2^12*t^8.262*y + g1^7*g2^14*t^8.369*y - g1^13*g2^24*t^8.677*y - g1^12*g2^26*t^8.784*y + (g1^2*t^8.786*y)/g2^4 + (g1*t^8.893*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
79582 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.3531 | 2.4889 | 0.9455 | [X:[], M:[0.9141, 0.8144], q:[0.7285, 0.457], qb:[], phi:[], S:[0.5928, 0.543], Sb:[], A:[], Ab:[]] | t^2.443 + t^2.742 + t^3.407 + t^3.557 + t^4.371 + t^4.521 + t^4.887 + t^5.186 + t^5.335 + t^5.485 - t^6. - t^4.629/y - t^4.778/y - t^4.629*y - t^4.778*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 |
---|---|---|---|---|---|---|---|---|---|
79477 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ | 2.387 | 2.4953 | 0.9566 | [X:[], M:[0.8508], q:[0.7127, 0.6082], qb:[], phi:[], S:[0.5386, 0.5746], Sb:[], A:[], Ab:[]] | t^2.552 + t^3.231 + t^3.34 + t^3.963 + t^5.105 + t^5.265 + t^5.373 + t^5.578 + t^5.784 + t^5.892 - 2*t^6. - t^4.616/y - t^4.724/y - t^4.616*y - t^4.724*y | detail |