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 |
---|---|---|---|---|---|---|---|---|---|
463 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.5418 | 0.6877 | 0.7879 | [M:[0.9659, 1.0341, 0.6997, 1.1331], q:[0.6007, 0.9659], qb:[0.4334, 0.2662], phi:[0.4334]] | [M:[[7], [-7], [3], [2]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.099 + t^2.601 + t^2.898 + t^3.102 + 2*t^3.399 + t^3.696 + 4*t^4.198 + 3*t^4.7 + 2*t^4.997 + 2*t^5.201 + 4*t^5.498 + 3*t^5.795 - t^6. + t^6.205 + 7*t^6.297 - t^6.502 + t^6.594 + 5*t^6.799 - t^7.003 + 5*t^7.096 + t^7.3 + t^7.393 + 6*t^7.597 - t^7.802 + 6*t^7.894 - 4*t^8.099 + t^8.304 + 11*t^8.396 - 5*t^8.601 + 3*t^8.693 + 4*t^8.898 - t^4.3/y - t^6.399/y + t^7.198/y + (2*t^7.7)/y + (2*t^7.997)/y + (3*t^8.201)/y + (4*t^8.498)/y + t^8.703/y + (2*t^8.795)/y - t^4.3*y - t^6.399*y + t^7.198*y + 2*t^7.7*y + 2*t^7.997*y + 3*t^8.201*y + 4*t^8.498*y + t^8.703*y + 2*t^8.795*y | 2*g1^3*t^2.099 + t^2.601/g1^2 + g1^7*t^2.898 + t^3.102/g1^7 + 2*g1^2*t^3.399 + g1^11*t^3.696 + 4*g1^6*t^4.198 + 3*g1*t^4.7 + 2*g1^10*t^4.997 + (2*t^5.201)/g1^4 + 4*g1^5*t^5.498 + 3*g1^14*t^5.795 - t^6. + t^6.205/g1^14 + 7*g1^9*t^6.297 - t^6.502/g1^5 + g1^18*t^6.594 + 5*g1^4*t^6.799 - t^7.003/g1^10 + 5*g1^13*t^7.096 + t^7.3/g1 + g1^22*t^7.393 + 6*g1^8*t^7.597 - t^7.802/g1^6 + 6*g1^17*t^7.894 - 4*g1^3*t^8.099 + t^8.304/g1^11 + 11*g1^12*t^8.396 - (5*t^8.601)/g1^2 + 3*g1^21*t^8.693 + 4*g1^7*t^8.898 - t^4.3/(g1*y) - (g1^2*t^6.399)/y + (g1^6*t^7.198)/y + (2*g1*t^7.7)/y + (2*g1^10*t^7.997)/y + (3*t^8.201)/(g1^4*y) + (4*g1^5*t^8.498)/y + t^8.703/(g1^9*y) + (2*g1^14*t^8.795)/y - (t^4.3*y)/g1 - g1^2*t^6.399*y + g1^6*t^7.198*y + 2*g1*t^7.7*y + 2*g1^10*t^7.997*y + (3*t^8.201*y)/g1^4 + 4*g1^5*t^8.498*y + (t^8.703*y)/g1^9 + 2*g1^14*t^8.795*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 |
---|---|---|---|---|---|---|---|---|
1852 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.561 | 0.7216 | 0.7774 | [M:[0.9903, 1.0097, 0.7101, 1.1401, 0.7295], q:[0.5797, 0.9903], qb:[0.43, 0.2802], phi:[0.43]] | 2*t^2.13 + t^2.189 + t^2.58 + t^2.971 + t^3.029 + 2*t^3.42 + 4*t^4.261 + 2*t^4.319 + t^4.377 + 3*t^4.71 + t^4.768 + 2*t^5.101 + 3*t^5.159 + t^5.218 + 4*t^5.551 + 2*t^5.609 + t^5.942 - t^6. - t^4.29/y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
289 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5538 | 0.7072 | 0.783 | [M:[0.9766, 1.0234, 0.7043], q:[0.5914, 0.9766], qb:[0.4319, 0.2724], phi:[0.4319]] | 2*t^2.113 + 2*t^2.591 + t^2.93 + t^3.07 + t^3.409 + t^3.747 + 4*t^4.226 + 5*t^4.704 + 2*t^5.043 + 4*t^5.183 + 3*t^5.521 + t^5.661 + 3*t^5.86 - t^6. - t^4.296/y - t^4.296*y | detail |