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 |
---|---|---|---|---|---|---|---|---|---|
46885 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6166 | 0.7496 | 0.8226 | [M:[1.1606, 0.7408, 0.8394, 0.8066, 1.2592], q:[0.4033, 0.4362], qb:[0.8559, 0.7573], phi:[0.3869]] | [M:[[12], [18], [-12], [-2], [-18]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.321 + t^2.42 + t^2.518 + t^3.482 + t^3.58 + t^3.679 + 2*t^3.777 + t^3.876 + t^4.642 + t^4.741 + 3*t^4.839 + t^4.938 + t^5.037 + 2*t^6.099 + 3*t^6.197 + 3*t^6.296 + t^6.394 + t^6.963 + 2*t^7.161 + 2*t^7.259 + 3*t^7.358 + 2*t^7.456 + 4*t^7.555 + 2*t^7.654 + t^7.752 - t^8.223 - t^8.321 - 2*t^8.42 + 4*t^8.617 + 4*t^8.716 + 3*t^8.814 + t^8.913 - t^4.161/y - t^6.482/y - t^6.58/y + (2*t^7.741)/y + (2*t^7.839)/y + t^7.938/y + t^8.901/y - t^4.161*y - t^6.482*y - t^6.58*y + 2*t^7.741*y + 2*t^7.839*y + t^7.938*y + t^8.901*y | g1^8*t^2.321 + t^2.42/g1^2 + t^2.518/g1^12 + g1^12*t^3.482 + g1^2*t^3.58 + t^3.679/g1^8 + (2*t^3.777)/g1^18 + t^3.876/g1^28 + g1^16*t^4.642 + g1^6*t^4.741 + (3*t^4.839)/g1^4 + t^4.938/g1^14 + t^5.037/g1^24 + (2*t^6.099)/g1^10 + (3*t^6.197)/g1^20 + (3*t^6.296)/g1^30 + t^6.394/g1^40 + g1^24*t^6.963 + 2*g1^4*t^7.161 + (2*t^7.259)/g1^6 + (3*t^7.358)/g1^16 + (2*t^7.456)/g1^26 + (4*t^7.555)/g1^36 + (2*t^7.654)/g1^46 + t^7.752/g1^56 - g1^18*t^8.223 - g1^8*t^8.321 - (2*t^8.42)/g1^2 + (4*t^8.617)/g1^22 + (4*t^8.716)/g1^32 + (3*t^8.814)/g1^42 + t^8.913/g1^52 - (g1^4*t^4.161)/y - (g1^12*t^6.482)/y - (g1^2*t^6.58)/y + (2*g1^6*t^7.741)/y + (2*t^7.839)/(g1^4*y) + t^7.938/(g1^14*y) + (g1^10*t^8.901)/y - g1^4*t^4.161*y - g1^12*t^6.482*y - g1^2*t^6.58*y + 2*g1^6*t^7.741*y + (2*t^7.839*y)/g1^4 + (t^7.938*y)/g1^14 + g1^10*t^8.901*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 |
---|---|---|---|---|---|---|---|---|
55230 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6347 | 0.7812 | 0.8125 | [M:[1.1522, 0.7283, 0.8478, 0.808, 1.2717, 0.7682], q:[0.404, 0.4438], qb:[0.8677, 0.7482], phi:[0.3841]] | 2*t^2.304 + t^2.424 + t^2.543 + t^3.457 + t^3.576 + 2*t^3.815 + t^3.934 + 3*t^4.609 + 2*t^4.728 + 4*t^4.848 + t^4.967 + t^5.087 + t^5.761 + t^5.881 - t^6. - t^4.152/y - t^4.152*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 |
---|---|---|---|---|---|---|---|---|---|
46384 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6363 | 0.7853 | 0.8103 | [M:[1.1492, 0.7237, 0.8508, 0.8085], q:[0.4042, 0.4466], qb:[0.872, 0.7449], phi:[0.3831]] | t^2.171 + t^2.298 + t^2.425 + t^2.553 + t^3.447 + t^3.575 + t^3.702 + t^3.829 + t^3.956 + t^4.342 + t^4.47 + 2*t^4.597 + 2*t^4.724 + 3*t^4.851 + t^4.978 + t^5.105 + t^5.619 + t^5.746 + t^5.873 + t^6. - t^4.149/y - t^4.149*y | detail |