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 |
---|---|---|---|---|---|---|---|---|---|
2456 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7065 | 0.8734 | 0.8088 | [M:[0.9207, 1.0264, 1.0793, 0.8678, 0.9207, 1.0264, 0.9207], q:[0.4604, 0.6189], qb:[0.4604, 0.5132], phi:[0.4868]] | [M:[[-6], [2], [6], [-10], [-6], [2], [-6]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{6}q_{1}\tilde{q}_{2}$ | -4 | t^2.604 + 3*t^2.762 + t^2.921 + 2*t^3.079 + 3*t^4.222 + 2*t^4.381 + t^4.54 + 2*t^4.698 + t^4.857 + t^5.174 + t^5.207 + 3*t^5.366 + 5*t^5.524 + 4*t^5.683 + 5*t^5.841 - 4*t^6. - t^6.317 - 2*t^6.476 + 3*t^6.826 + 9*t^6.985 + 7*t^7.143 + 7*t^7.302 + 3*t^7.46 - t^7.619 + t^7.778 + t^7.811 + t^7.936 + 3*t^7.969 - t^8.095 + 5*t^8.128 + t^8.253 + 9*t^8.286 + 12*t^8.445 + 5*t^8.604 - 9*t^8.762 - t^4.46/y - t^7.064/y - (2*t^7.222)/y + t^7.381/y - t^7.54/y + (2*t^7.698)/y + t^7.857/y + (3*t^8.366)/y + (4*t^8.524)/y + (5*t^8.683)/y + (6*t^8.841)/y - t^4.46*y - t^7.064*y - 2*t^7.222*y + t^7.381*y - t^7.54*y + 2*t^7.698*y + t^7.857*y + 3*t^8.366*y + 4*t^8.524*y + 5*t^8.683*y + 6*t^8.841*y | t^2.604/g1^10 + (3*t^2.762)/g1^6 + t^2.921/g1^2 + 2*g1^2*t^3.079 + (3*t^4.222)/g1^7 + (2*t^4.381)/g1^3 + g1*t^4.54 + 2*g1^5*t^4.698 + g1^9*t^4.857 + g1^17*t^5.174 + t^5.207/g1^20 + (3*t^5.366)/g1^16 + (5*t^5.524)/g1^12 + (4*t^5.683)/g1^8 + (5*t^5.841)/g1^4 - 4*t^6. - g1^8*t^6.317 - 2*g1^12*t^6.476 + (3*t^6.826)/g1^17 + (9*t^6.985)/g1^13 + (7*t^7.143)/g1^9 + (7*t^7.302)/g1^5 + (3*t^7.46)/g1 - g1^3*t^7.619 + g1^7*t^7.778 + t^7.811/g1^30 + g1^11*t^7.936 + (3*t^7.969)/g1^26 - g1^15*t^8.095 + (5*t^8.128)/g1^22 + g1^19*t^8.253 + (9*t^8.286)/g1^18 + (12*t^8.445)/g1^14 + (5*t^8.604)/g1^10 - (9*t^8.762)/g1^6 - t^4.46/(g1*y) - t^7.064/(g1^11*y) - (2*t^7.222)/(g1^7*y) + t^7.381/(g1^3*y) - (g1*t^7.54)/y + (2*g1^5*t^7.698)/y + (g1^9*t^7.857)/y + (3*t^8.366)/(g1^16*y) + (4*t^8.524)/(g1^12*y) + (5*t^8.683)/(g1^8*y) + (6*t^8.841)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.064*y)/g1^11 - (2*t^7.222*y)/g1^7 + (t^7.381*y)/g1^3 - g1*t^7.54*y + 2*g1^5*t^7.698*y + g1^9*t^7.857*y + (3*t^8.366*y)/g1^16 + (4*t^8.524*y)/g1^12 + (5*t^8.683*y)/g1^8 + (6*t^8.841*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
4503 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7041 | 0.8687 | 0.8105 | [M:[0.9272, 1.0243, 1.0728, 0.8786, 0.9272, 1.0243, 0.9272, 1.0243], q:[0.4636, 0.6092], qb:[0.4636, 0.5121], phi:[0.4879]] | t^2.636 + 3*t^2.782 + 3*t^3.073 + 3*t^4.245 + 2*t^4.391 + t^4.536 + 2*t^4.682 + t^4.828 + t^5.119 + t^5.272 + 3*t^5.417 + 4*t^5.563 + 2*t^5.709 + 7*t^5.854 - 6*t^6. - t^4.464/y - t^4.464*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 |
---|---|---|---|---|---|---|---|---|---|
1384 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7 | 0.8606 | 0.8133 | [M:[0.9396, 1.0201, 1.0604, 0.8994, 0.9396, 1.0201], q:[0.4698, 0.5906], qb:[0.4698, 0.5101], phi:[0.4899]] | t^2.698 + 2*t^2.819 + t^2.94 + 2*t^3.06 + t^3.181 + 3*t^4.289 + 2*t^4.409 + t^4.53 + 2*t^4.651 + t^4.772 + t^5.013 + t^5.396 + 2*t^5.517 + 2*t^5.638 + 3*t^5.758 + 4*t^5.879 - 2*t^6. - t^4.47/y - t^4.47*y | detail |