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 |
---|---|---|---|---|---|---|---|---|---|
915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7215 | 0.8862 | 0.8142 | [M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | [M:[[0], [-4], [0], [-4], [0]], q:[[0], [0]], qb:[[0], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. + t^6.27 - t^6.541 + 9*t^6.824 + t^7.082 + 6*t^7.094 + 12*t^7.365 + 4*t^7.378 - 3*t^7.635 + 3*t^7.648 + 5*t^7.906 + 6*t^7.918 - 2*t^8.176 + 4*t^8.189 + 3*t^8.446 - 7*t^8.459 - t^8.717 + 13*t^8.73 + t^8.987 - t^4.365/y - (2*t^6.824)/y - t^7.094/y + t^7.635/y + (2*t^7.906)/y + t^7.918/y + (2*t^8.189)/y + (6*t^8.459)/y + (3*t^8.73)/y - t^4.365*y - 2*t^6.824*y - t^7.094*y + t^7.635*y + 2*t^7.906*y + t^7.918*y + 2*t^8.189*y + 6*t^8.459*y + 3*t^8.73*y | (2*t^2.459)/g1^4 + t^2.73/g1^2 + 3*t^3. + g1^4*t^3.541 + (6*t^4.365)/g1 + 3*g1^3*t^4.906 + (3*t^4.918)/g1^8 + (2*t^5.189)/g1^6 + g1^7*t^5.446 + (4*t^5.459)/g1^4 + (3*t^5.73)/g1^2 - 2*t^6. + g1^2*t^6.27 - g1^4*t^6.541 + (9*t^6.824)/g1^5 + g1^8*t^7.082 + (6*t^7.094)/g1^3 + (12*t^7.365)/g1 + (4*t^7.378)/g1^12 - 3*g1*t^7.635 + (3*t^7.648)/g1^10 + 5*g1^3*t^7.906 + (6*t^7.918)/g1^8 - 2*g1^5*t^8.176 + (4*t^8.189)/g1^6 + 3*g1^7*t^8.446 - (7*t^8.459)/g1^4 - g1^9*t^8.717 + (13*t^8.73)/g1^2 + g1^11*t^8.987 - t^4.365/(g1*y) - (2*t^6.824)/(g1^5*y) - t^7.094/(g1^3*y) + (g1*t^7.635)/y + (2*g1^3*t^7.906)/y + t^7.918/(g1^8*y) + (2*t^8.189)/(g1^6*y) + (6*t^8.459)/(g1^4*y) + (3*t^8.73)/(g1^2*y) - (t^4.365*y)/g1 - (2*t^6.824*y)/g1^5 - (t^7.094*y)/g1^3 + g1*t^7.635*y + 2*g1^3*t^7.906*y + (t^7.918*y)/g1^8 + (2*t^8.189*y)/g1^6 + (6*t^8.459*y)/g1^4 + (3*t^8.73*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1399 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7378 | 0.9171 | 0.8045 | [M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | 3*t^2.368 + t^2.684 + 3*t^3. + 6*t^4.342 + 6*t^4.737 + 3*t^4.974 + 3*t^5.053 + 7*t^5.368 + t^5.605 + 3*t^5.684 - 4*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 |
---|---|---|---|---|---|---|---|---|---|
588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |