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 |
---|---|---|---|---|---|---|---|---|---|
1375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6522 | 0.8336 | 0.7824 | [M:[0.7992, 1.2008, 0.7992, 0.7008, 1.1303, 0.6689, 1.2992], q:[0.75, 0.4508], qb:[0.4189, 0.3803], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [1, 0], [1, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{3}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.007 + 2*t^2.397 + t^2.493 + t^3. + 2*t^3.391 + t^3.507 + t^3.782 + t^3.897 + 2*t^4.013 + t^4.109 + t^4.205 + 2*t^4.404 + t^4.5 + 3*t^4.795 + 2*t^4.891 + t^4.987 + t^5.007 + 4*t^5.397 + t^5.493 + t^5.513 + 4*t^5.788 + t^5.884 + 2*t^5.904 - 2*t^6. + 2*t^6.02 - t^6.096 + 2*t^6.179 + t^6.275 + 2*t^6.295 + t^6.391 + 4*t^6.411 + 3*t^6.507 + t^6.603 + t^6.698 + 3*t^6.782 + 3*t^6.802 + 3*t^6.897 - t^6.993 + 2*t^7.013 - t^7.109 + 2*t^7.173 + 4*t^7.192 + 4*t^7.288 + 5*t^7.404 + t^7.48 - t^7.5 + 2*t^7.52 + t^7.563 - t^7.616 + t^7.679 - t^7.712 + 8*t^7.795 + 2*t^7.891 + 3*t^7.911 + t^7.987 - 3*t^8.007 + 3*t^8.027 - 2*t^8.103 + t^8.122 + 6*t^8.186 + t^8.218 + 2*t^8.282 + 3*t^8.302 + t^8.314 + t^8.378 - 4*t^8.397 + t^8.41 + 4*t^8.417 - 4*t^8.493 + t^8.513 + 3*t^8.577 - t^8.589 - 2*t^8.609 + 2*t^8.673 + 3*t^8.692 + t^8.768 + 4*t^8.788 + 6*t^8.808 + 5*t^8.904 - t^4.5/y - t^6.507/y - t^6.897/y + t^7.109/y + (2*t^7.404)/y + t^7.5/y + t^7.795/y + t^7.891/y + t^8.007/y + t^8.103/y + (4*t^8.397)/y + (2*t^8.493)/y + (5*t^8.788)/y + (2*t^8.884)/y + (2*t^8.904)/y - t^4.5*y - t^6.507*y - t^6.897*y + t^7.109*y + 2*t^7.404*y + t^7.5*y + t^7.795*y + t^7.891*y + t^8.007*y + t^8.103*y + 4*t^8.397*y + 2*t^8.493*y + 5*t^8.788*y + 2*t^8.884*y + 2*t^8.904*y | g1*t^2.007 + 2*g1*g2*t^2.397 + t^2.493/g1 + t^3. + 2*g2*t^3.391 + g1*t^3.507 + g2^2*t^3.782 + g1*g2*t^3.897 + 2*g1^2*t^4.013 + t^4.109/g2 + t^4.205/(g1^2*g2^2) + 2*g1^2*g2*t^4.404 + t^4.5 + 3*g1^2*g2^2*t^4.795 + 2*g2*t^4.891 + t^4.987/g1^2 + g1*t^5.007 + 4*g1*g2*t^5.397 + t^5.493/g1 + g1^2*t^5.513 + 4*g1*g2^2*t^5.788 + (g2*t^5.884)/g1 + 2*g1^2*g2*t^5.904 - 2*t^6. + 2*g1^3*t^6.02 - t^6.096/(g1^2*g2) + 2*g1*g2^3*t^6.179 + (g2^2*t^6.275)/g1 + 2*g1^2*g2^2*t^6.295 + g2*t^6.391 + 4*g1^3*g2*t^6.411 + 3*g1*t^6.507 + t^6.603/(g1*g2) + t^6.698/(g1^3*g2^2) + 3*g2^2*t^6.782 + 3*g1^3*g2^2*t^6.802 + 3*g1*g2*t^6.897 - t^6.993/g1 + 2*g1^2*t^7.013 - t^7.109/g2 + 2*g2^3*t^7.173 + 4*g1^3*g2^3*t^7.192 + 4*g1*g2^2*t^7.288 + 5*g1^2*g2*t^7.404 + t^7.48/g1^3 - t^7.5 + 2*g1^3*t^7.52 + g2^4*t^7.563 - (g1*t^7.616)/g2 + g1*g2^3*t^7.679 - t^7.712/(g1*g2^2) + 8*g1^2*g2^2*t^7.795 + 2*g2*t^7.891 + 3*g1^3*g2*t^7.911 + t^7.987/g1^2 - 3*g1*t^8.007 + 3*g1^4*t^8.027 - (2*t^8.103)/(g1*g2) + (g1^2*t^8.122)/g2 + 6*g1^2*g2^3*t^8.186 + t^8.218/g2^2 + 2*g2^2*t^8.282 + 3*g1^3*g2^2*t^8.302 + t^8.314/(g1^2*g2^3) + (g2*t^8.378)/g1^2 - 4*g1*g2*t^8.397 + t^8.41/(g1^4*g2^4) + 4*g1^4*g2*t^8.417 - (4*t^8.493)/g1 + g1^2*t^8.513 + 3*g1^2*g2^4*t^8.577 - t^8.589/(g1^3*g2) - (2*t^8.609)/g2 + 2*g2^3*t^8.673 + 3*g1^3*g2^3*t^8.692 + (g2^2*t^8.768)/g1^2 + 4*g1*g2^2*t^8.788 + 6*g1^4*g2^2*t^8.808 + 5*g1^2*g2*t^8.904 - t^4.5/y - (g1*t^6.507)/y - (g1*g2*t^6.897)/y + t^7.109/(g2*y) + (2*g1^2*g2*t^7.404)/y + t^7.5/y + (g1^2*g2^2*t^7.795)/y + (g2*t^7.891)/y + (g1*t^8.007)/y + t^8.103/(g1*g2*y) + (4*g1*g2*t^8.397)/y + (2*t^8.493)/(g1*y) + (5*g1*g2^2*t^8.788)/y + (2*g2*t^8.884)/(g1*y) + (2*g1^2*g2*t^8.904)/y - t^4.5*y - g1*t^6.507*y - g1*g2*t^6.897*y + (t^7.109*y)/g2 + 2*g1^2*g2*t^7.404*y + t^7.5*y + g1^2*g2^2*t^7.795*y + g2*t^7.891*y + g1*t^8.007*y + (t^8.103*y)/(g1*g2) + 4*g1*g2*t^8.397*y + (2*t^8.493*y)/g1 + 5*g1*g2^2*t^8.788*y + (2*g2*t^8.884*y)/g1 + 2*g1^2*g2*t^8.904*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
887 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6728 | 0.8725 | 0.7711 | [M:[0.804, 1.196, 0.804, 0.696, 1.1331, 0.6709], q:[0.75, 0.446], qb:[0.4209, 0.3831], phi:[0.5]] | t^2.013 + t^2.088 + 2*t^2.412 + t^2.487 + t^3. + 2*t^3.399 + t^3.513 + t^3.798 + 2*t^4.026 + 2*t^4.101 + 2*t^4.176 + 2*t^4.425 + 3*t^4.5 + t^4.575 + 3*t^4.824 + 2*t^4.899 + t^4.974 + t^5.013 + t^5.088 + 4*t^5.412 + 3*t^5.487 + t^5.526 + t^5.601 + 4*t^5.811 + 2*t^5.886 + t^5.925 - 2*t^6. - t^4.5/y - t^4.5*y | detail |