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 |
---|---|---|---|---|---|---|---|---|---|
719 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6695 | 0.8209 | 0.8156 | [M:[1.0544, 1.1046, 0.9749, 0.7364, 0.9456], q:[0.7762, 0.4079], qb:[0.5377, 0.4874], phi:[0.4477]] | [M:[[32], [-12], [22], [-8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.209 + t^2.686 + t^2.837 + t^2.925 + t^3.314 + t^3.552 + t^3.791 + t^3.941 + t^4.029 + t^4.18 + t^4.268 + 2*t^4.418 + t^4.569 + t^4.895 + t^5.046 + t^5.134 + t^5.372 + 2*t^5.523 + t^5.674 + t^5.762 - t^6. + t^6.151 + t^6.238 + t^6.389 + 2*t^6.477 + 3*t^6.628 + t^6.715 + 2*t^6.778 + 2*t^6.866 + t^6.954 + t^7.017 + 2*t^7.105 + 3*t^7.255 + t^7.343 + t^7.406 + t^7.494 + t^7.582 + 2*t^7.732 + t^7.82 + 2*t^7.883 + 2*t^7.971 + 2*t^8.059 + t^8.121 + t^8.297 + 3*t^8.36 + 2*t^8.51 + t^8.598 + t^8.749 + t^8.774 + t^8.837 - 2*t^8.925 + 3*t^8.987 - t^4.343/y - t^6.552/y - t^7.268/y + t^7.418/y + t^7.895/y + t^8.046/y + (2*t^8.134)/y + (2*t^8.523)/y + t^8.611/y + t^8.762/y - t^4.343*y - t^6.552*y - t^7.268*y + t^7.418*y + t^7.895*y + t^8.046*y + 2*t^8.134*y + 2*t^8.523*y + t^8.611*y + t^8.762*y | t^2.209/g1^8 + g1^12*t^2.686 + t^2.837/g1^32 + g1^22*t^2.925 + t^3.314/g1^12 + t^3.552/g1^2 + g1^8*t^3.791 + t^3.941/g1^36 + g1^18*t^4.029 + t^4.18/g1^26 + g1^28*t^4.268 + (2*t^4.418)/g1^16 + t^4.569/g1^60 + g1^4*t^4.895 + t^5.046/g1^40 + g1^14*t^5.134 + g1^24*t^5.372 + (2*t^5.523)/g1^20 + t^5.674/g1^64 + t^5.762/g1^10 - t^6. + t^6.151/g1^44 + g1^10*t^6.238 + t^6.389/g1^34 + 2*g1^20*t^6.477 + (3*t^6.628)/g1^24 + g1^30*t^6.715 + (2*t^6.778)/g1^68 + (2*t^6.866)/g1^14 + g1^40*t^6.954 + t^7.017/g1^58 + (2*t^7.105)/g1^4 + (3*t^7.255)/g1^48 + g1^6*t^7.343 + t^7.406/g1^92 + t^7.494/g1^38 + g1^16*t^7.582 + (2*t^7.732)/g1^28 + g1^26*t^7.82 + (2*t^7.883)/g1^72 + (2*t^7.971)/g1^18 + 2*g1^36*t^8.059 + t^8.121/g1^62 + g1^46*t^8.297 + (3*t^8.36)/g1^52 + (2*t^8.51)/g1^96 + t^8.598/g1^42 + t^8.749/g1^86 + g1^66*t^8.774 + t^8.837/g1^32 - 2*g1^22*t^8.925 + (3*t^8.987)/g1^76 - (g1^6*t^4.343)/y - t^6.552/(g1^2*y) - (g1^28*t^7.268)/y + t^7.418/(g1^16*y) + (g1^4*t^7.895)/y + t^8.046/(g1^40*y) + (2*g1^14*t^8.134)/y + (2*t^8.523)/(g1^20*y) + (g1^34*t^8.611)/y + t^8.762/(g1^10*y) - g1^6*t^4.343*y - (t^6.552*y)/g1^2 - g1^28*t^7.268*y + (t^7.418*y)/g1^16 + g1^4*t^7.895*y + (t^8.046*y)/g1^40 + 2*g1^14*t^8.134*y + (2*t^8.523*y)/g1^20 + g1^34*t^8.611*y + (t^8.762*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
1180 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.65 | 0.7847 | 0.8283 | [M:[1.0499, 1.1063, 0.9718, 0.7375, 0.9501, 1.2625], q:[0.7766, 0.4078], qb:[0.5423, 0.4859], phi:[0.4469]] | t^2.681 + t^2.85 + t^2.915 + t^3.319 + t^3.553 + 2*t^3.787 + t^3.957 + t^4.022 + t^4.191 + t^4.256 + t^4.425 + t^4.594 + t^5.362 + t^5.531 + t^5.701 - 2*t^6. - t^4.341/y - t^4.341*y | detail | |
1182 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.685 | 0.8478 | 0.808 | [M:[1.0524, 1.1054, 0.9735, 0.7369, 0.9476, 0.8158], q:[0.7763, 0.4079], qb:[0.5398, 0.4867], phi:[0.4473]] | t^2.211 + t^2.447 + t^2.684 + t^2.843 + t^2.92 + t^3.316 + t^3.789 + t^3.948 + t^4.026 + t^4.185 + t^4.262 + 2*t^4.421 + t^4.581 + t^4.658 + 2*t^4.895 + t^5.054 + 2*t^5.131 + t^5.29 + 2*t^5.368 + 2*t^5.527 + t^5.686 + t^5.763 - t^6. - t^4.342/y - t^4.342*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 |
---|---|---|---|---|---|---|---|---|---|
430 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail |