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 |
---|---|---|---|---|---|---|---|---|---|
79594 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 2.3771 | 2.4952 | 0.9527 | [X:[], M:[1.0, 0.6673], q:[0.6944, 0.6383], qb:[], phi:[], S:[0.5, 0.6112], Sb:[], A:[], Ab:[]] | [X:[], M:[[0], [12]], q:[[-1], [-11]], qb:[], phi:[], S:[[0], [2]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{2}S_{1}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}S_{2}^{2}$ | ${}S_{1}^{4}$ | 0 | t^2.002 + t^3. + t^3.334 + t^3.667 + t^4.004 + t^5.002 + t^5.33 + t^5.335 + t^5.498 + t^5.664 + t^5.669 + t^6.006 - t^6.168 + t^6.334 + 4*t^6.667 + t^6.998 + 2*t^7.001 + t^7.004 + t^7.164 + 2*t^7.332 + 2*t^7.335 + t^7.337 + t^7.665 - t^7.668 + t^7.671 - t^7.834 - t^7.996 + t^8.007 - t^8.165 + t^8.33 - t^8.333 + t^8.335 + t^8.498 + 4*t^8.664 + 4*t^8.669 + 3*t^8.832 + 4*t^8.997 - t^4.5/y - t^4.834/y - t^6.502/y - t^6.835/y + t^7.166/y - t^7.5/y - (3*t^7.834)/y + t^8.002/y - (3*t^8.167)/y + t^8.335/y - (2*t^8.501)/y - t^8.504/y + t^8.669/y - t^8.837/y - t^4.5*y - t^4.834*y - t^6.502*y - t^6.835*y + t^7.166*y - t^7.5*y - 3*t^7.834*y + t^8.002*y - 3*t^8.167*y + t^8.335*y - 2*t^8.501*y - t^8.504*y + t^8.669*y - t^8.837*y | g1^12*t^2.002 + t^3. + g1^2*t^3.334 + g1^4*t^3.667 + g1^24*t^4.004 + g1^12*t^5.002 + t^5.33/g1^22 + g1^14*t^5.335 + t^5.498/g1^12 + t^5.664/g1^20 + g1^16*t^5.669 + g1^36*t^6.006 - g1^10*t^6.168 + g1^2*t^6.334 + 4*g1^4*t^6.667 + t^6.998/g1^12 + 2*g1^6*t^7.001 + g1^24*t^7.004 + t^7.164/g1^20 + (2*t^7.332)/g1^10 + 2*g1^8*t^7.335 + g1^26*t^7.337 + t^7.665/g1^8 - g1^10*t^7.668 + g1^28*t^7.671 - g1^2*t^7.834 - t^7.996/g1^24 + g1^48*t^8.007 - t^8.165/g1^14 + t^8.33/g1^22 - t^8.333/g1^4 + g1^14*t^8.335 + t^8.498/g1^12 + (4*t^8.664)/g1^20 + 4*g1^16*t^8.669 + (3*t^8.832)/g1^10 + (4*t^8.997)/g1^18 - t^4.5/y - (g1^2*t^4.834)/y - (g1^12*t^6.502)/y - (g1^14*t^6.835)/y + t^7.166/(g1^2*y) - t^7.5/y - (3*g1^2*t^7.834)/y + (g1^12*t^8.002)/y - (3*g1^4*t^8.167)/y + (g1^14*t^8.335)/y - (2*g1^6*t^8.501)/y - (g1^24*t^8.504)/y + (g1^16*t^8.669)/y - (g1^26*t^8.837)/y - t^4.5*y - g1^2*t^4.834*y - g1^12*t^6.502*y - g1^14*t^6.835*y + (t^7.166*y)/g1^2 - t^7.5*y - 3*g1^2*t^7.834*y + g1^12*t^8.002*y - 3*g1^4*t^8.167*y + g1^14*t^8.335*y - 2*g1^6*t^8.501*y - g1^24*t^8.504*y + g1^16*t^8.669*y - g1^26*t^8.837*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 |
---|---|---|---|---|---|---|---|---|
79688 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}S_{2}^{2}$ | 2.3949 | 2.5276 | 0.9475 | [X:[], M:[1.0, 0.6733, 0.7756], q:[0.6939, 0.6328], qb:[], phi:[], S:[0.5, 0.6122], Sb:[], A:[], Ab:[]] | t^2.02 + t^2.327 + t^3. + t^3.337 + t^4.04 + t^4.347 + t^4.653 + t^5.02 + t^5.297 + t^5.327 + t^5.357 + t^5.48 + t^5.633 + t^5.663 - t^4.5/y - t^4.837/y - t^4.5*y - t^4.837*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 |
---|---|---|---|---|---|---|---|---|---|
79496 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4052 | 2.5307 | 0.9504 | [X:[], M:[0.8839, 0.6691], q:[0.7233, 0.6077], qb:[], phi:[], S:[0.558, 0.5535], Sb:[], A:[], Ab:[]] | t^2.007 + t^2.652 + t^3.321 + t^3.335 + t^4.015 + t^4.659 + t^5.304 + t^5.306 + t^5.32 + t^5.328 + t^5.342 + t^5.667 + t^5.973 - 2*t^6. - t^4.66/y - t^4.674/y - t^4.66*y - t^4.674*y | detail |