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 |
---|---|---|---|---|---|---|---|---|---|
3246 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.605 | 0.7763 | 0.7794 | [M:[1.0, 1.0036, 0.9928, 0.7473, 1.0072], q:[0.7509, 0.2491], qb:[0.5018, 0.5054], phi:[0.4982]] | [M:[[0], [4], [-8], [-3], [8]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0 | t^2.242 + t^2.253 + t^2.264 + t^2.989 + t^3. + t^3.011 + t^3.022 + t^3.747 + t^3.758 + t^3.769 + t^4.484 + t^4.495 + 3*t^4.505 + 2*t^4.516 + 2*t^4.527 + t^5.242 + 3*t^5.253 + 3*t^5.264 + 2*t^5.274 + t^5.285 + t^5.978 + 3*t^6.011 + 3*t^6.022 + 2*t^6.032 + t^6.043 + 2*t^6.747 + 3*t^6.758 + 5*t^6.769 + 4*t^6.78 + 3*t^6.791 - t^7.484 + t^7.495 + 2*t^7.505 + 6*t^7.516 + 6*t^7.527 + 4*t^7.538 + 2*t^7.549 - t^8.231 - 2*t^8.242 - t^8.253 + t^8.264 + 6*t^8.274 + 6*t^8.285 + 4*t^8.296 + t^8.307 + 2*t^8.968 - t^8.978 - 2*t^8.989 - t^4.495/y - t^6.736/y + t^7.495/y + t^7.505/y + t^7.516/y + t^8.231/y + (2*t^8.242)/y + (4*t^8.253)/y + (3*t^8.264)/y + (2*t^8.274)/y + t^8.285/y - t^8.978/y + (2*t^8.989)/y - t^4.495*y - t^6.736*y + t^7.495*y + t^7.505*y + t^7.516*y + t^8.231*y + 2*t^8.242*y + 4*t^8.253*y + 3*t^8.264*y + 2*t^8.274*y + t^8.285*y - t^8.978*y + 2*t^8.989*y | t^2.242/g1^3 + g1*t^2.253 + g1^5*t^2.264 + t^2.989/g1^4 + t^3. + g1^4*t^3.011 + g1^8*t^3.022 + t^3.747/g1 + g1^3*t^3.758 + g1^7*t^3.769 + t^4.484/g1^6 + t^4.495/g1^2 + 3*g1^2*t^4.505 + 2*g1^6*t^4.516 + 2*g1^10*t^4.527 + t^5.242/g1^3 + 3*g1*t^5.253 + 3*g1^5*t^5.264 + 2*g1^9*t^5.274 + g1^13*t^5.285 + t^5.978/g1^8 + 3*g1^4*t^6.011 + 3*g1^8*t^6.022 + 2*g1^12*t^6.032 + g1^16*t^6.043 + (2*t^6.747)/g1 + 3*g1^3*t^6.758 + 5*g1^7*t^6.769 + 4*g1^11*t^6.78 + 3*g1^15*t^6.791 - t^7.484/g1^6 + t^7.495/g1^2 + 2*g1^2*t^7.505 + 6*g1^6*t^7.516 + 6*g1^10*t^7.527 + 4*g1^14*t^7.538 + 2*g1^18*t^7.549 - t^8.231/g1^7 - (2*t^8.242)/g1^3 - g1*t^8.253 + g1^5*t^8.264 + 6*g1^9*t^8.274 + 6*g1^13*t^8.285 + 4*g1^17*t^8.296 + g1^21*t^8.307 + (2*t^8.968)/g1^12 - t^8.978/g1^8 - (2*t^8.989)/g1^4 - t^4.495/(g1^2*y) - t^6.736/(g1^5*y) + t^7.495/(g1^2*y) + (g1^2*t^7.505)/y + (g1^6*t^7.516)/y + t^8.231/(g1^7*y) + (2*t^8.242)/(g1^3*y) + (4*g1*t^8.253)/y + (3*g1^5*t^8.264)/y + (2*g1^9*t^8.274)/y + (g1^13*t^8.285)/y - t^8.978/(g1^8*y) + (2*t^8.989)/(g1^4*y) - (t^4.495*y)/g1^2 - (t^6.736*y)/g1^5 + (t^7.495*y)/g1^2 + g1^2*t^7.505*y + g1^6*t^7.516*y + (t^8.231*y)/g1^7 + (2*t^8.242*y)/g1^3 + 4*g1*t^8.253*y + 3*g1^5*t^8.264*y + 2*g1^9*t^8.274*y + g1^13*t^8.285*y - (t^8.978*y)/g1^8 + (2*t^8.989*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 |
---|---|---|---|---|---|---|---|---|
3668 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6242 | 0.8106 | 0.7701 | [M:[1.0, 1.0091, 0.9818, 0.7432, 1.0182, 0.7432], q:[0.7523, 0.2477], qb:[0.5045, 0.5136], phi:[0.4955]] | 2*t^2.23 + t^2.257 + t^2.284 + t^2.973 + t^3. + t^3.027 + t^3.054 + t^3.743 + t^3.798 + 3*t^4.459 + 2*t^4.486 + 4*t^4.514 + 2*t^4.541 + 2*t^4.568 + t^5.202 + 2*t^5.23 + 4*t^5.257 + 4*t^5.284 + 2*t^5.311 + t^5.339 + t^5.946 + t^5.973 - t^6. - t^4.486/y - t^4.486*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 |
---|---|---|---|---|---|---|---|---|---|
2734 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.609 | 0.779 | 0.7817 | [M:[1.0, 1.0388, 0.9224, 0.7209], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | t^2.163 + t^2.279 + t^2.395 + t^2.767 + t^2.884 + t^3. + t^3.116 + t^3.721 + t^3.837 + t^3.954 + t^4.325 + t^4.442 + 3*t^4.558 + 2*t^4.675 + 2*t^4.791 + t^4.93 + t^5.046 + 2*t^5.163 + 3*t^5.279 + 2*t^5.395 + t^5.512 + t^5.535 + t^5.651 + 2*t^5.767 + t^5.884 - t^4.442/y - t^4.442*y | detail |