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 |
---|---|---|---|---|---|---|---|---|---|
115 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6485 | 0.7962 | 0.8145 | [M:[0.6924, 0.7041], q:[0.8357, 0.8123], qb:[0.472, 0.472], phi:[0.352]] | [M:[[1, -5], [0, -4]], q:[[-1, 2], [1, 0]], qb:[[0, 3], [0, 3]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.077 + 2*t^2.112 + t^2.832 + 2*t^3.853 + 2*t^3.888 + t^3.923 + t^4.154 + 2*t^4.189 + 3*t^4.224 + t^4.909 + 3*t^4.944 + t^5.664 + 2*t^5.93 + 4*t^5.965 + t^6.231 + 2*t^6.266 + 3*t^6.301 + 4*t^6.336 + 2*t^6.685 + 2*t^6.72 + t^6.755 + t^6.986 + t^7.021 + t^7.056 - 2*t^7.091 + 3*t^7.706 + 3*t^7.741 + 3*t^7.776 + t^7.846 + 2*t^8.007 + 4*t^8.042 + 2*t^8.077 - 3*t^8.112 - t^8.147 + t^8.308 + 2*t^8.343 + 3*t^8.378 + 4*t^8.414 + 5*t^8.449 + t^8.495 + 2*t^8.762 + 4*t^8.797 - 2*t^8.832 - t^8.867 - t^4.056/y - t^6.133/y - (2*t^6.168)/y + (2*t^7.189)/y + t^7.224/y + t^7.909/y + (4*t^7.944)/y + t^7.979/y - t^8.21/y - (2*t^8.245)/y - (3*t^8.28)/y + (2*t^8.93)/y + (6*t^8.965)/y - t^4.056*y - t^6.133*y - 2*t^6.168*y + 2*t^7.189*y + t^7.224*y + t^7.909*y + 4*t^7.944*y + t^7.979*y - t^8.21*y - 2*t^8.245*y - 3*t^8.28*y + 2*t^8.93*y + 6*t^8.965*y | (g1*t^2.077)/g2^5 + (2*t^2.112)/g2^4 + g2^6*t^2.832 + 2*g1*g2^3*t^3.853 + 2*g2^4*t^3.888 + (g2^5*t^3.923)/g1 + (g1^2*t^4.154)/g2^10 + (2*g1*t^4.189)/g2^9 + (3*t^4.224)/g2^8 + g1*g2*t^4.909 + 3*g2^2*t^4.944 + g2^12*t^5.664 + (2*g1^2*t^5.93)/g2^2 + (4*g1*t^5.965)/g2 + (g1^3*t^6.231)/g2^15 + (2*g1^2*t^6.266)/g2^14 + (3*g1*t^6.301)/g2^13 + (4*t^6.336)/g2^12 + 2*g1*g2^9*t^6.685 + 2*g2^10*t^6.72 + (g2^11*t^6.755)/g1 + (g1^2*t^6.986)/g2^4 + (g1*t^7.021)/g2^3 + t^7.056/g2^2 - (2*t^7.091)/(g1*g2) + 3*g1^2*g2^6*t^7.706 + 3*g1*g2^7*t^7.741 + 3*g2^8*t^7.776 + (g2^10*t^7.846)/g1^2 + (2*g1^3*t^8.007)/g2^7 + (4*g1^2*t^8.042)/g2^6 + (2*g1*t^8.077)/g2^5 - (3*t^8.112)/g2^4 - t^8.147/(g1*g2^3) + (g1^4*t^8.308)/g2^20 + (2*g1^3*t^8.343)/g2^19 + (3*g1^2*t^8.378)/g2^18 + (4*g1*t^8.414)/g2^17 + (5*t^8.449)/g2^16 + g2^18*t^8.495 + 2*g1^2*g2^4*t^8.762 + 4*g1*g2^5*t^8.797 - 2*g2^6*t^8.832 - (g2^7*t^8.867)/g1 - t^4.056/(g2^2*y) - (g1*t^6.133)/(g2^7*y) - (2*t^6.168)/(g2^6*y) + (2*g1*t^7.189)/(g2^9*y) + t^7.224/(g2^8*y) + (g1*g2*t^7.909)/y + (4*g2^2*t^7.944)/y + (g2^3*t^7.979)/(g1*y) - (g1^2*t^8.21)/(g2^12*y) - (2*g1*t^8.245)/(g2^11*y) - (3*t^8.28)/(g2^10*y) + (2*g1^2*t^8.93)/(g2^2*y) + (6*g1*t^8.965)/(g2*y) - (t^4.056*y)/g2^2 - (g1*t^6.133*y)/g2^7 - (2*t^6.168*y)/g2^6 + (2*g1*t^7.189*y)/g2^9 + (t^7.224*y)/g2^8 + g1*g2*t^7.909*y + 4*g2^2*t^7.944*y + (g2^3*t^7.979*y)/g1 - (g1^2*t^8.21*y)/g2^12 - (2*g1*t^8.245*y)/g2^11 - (3*t^8.28*y)/g2^10 + (2*g1^2*t^8.93*y)/g2^2 + (6*g1*t^8.965*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
184 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.6891, 0.6994, 0.6994], q:[0.8355, 0.8148], qb:[0.4754, 0.4754], phi:[0.3497]] | t^2.067 + 3*t^2.098 + t^2.853 + 2*t^3.871 + t^3.902 + t^3.933 + t^4.134 + 3*t^4.165 + 6*t^4.196 + t^4.92 + 4*t^4.951 + t^5.705 + 2*t^5.938 + 5*t^5.969 - t^6. - t^4.049/y - t^4.049*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 |
---|---|---|---|---|---|---|---|---|---|
75 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 0.6281 | 0.758 | 0.8286 | [M:[0.6967], q:[0.8359, 0.809], qb:[0.4674, 0.4674], phi:[0.3551]] | t^2.09 + t^2.13 + t^2.805 + 2*t^3.829 + 3*t^3.87 + t^3.91 + t^4.18 + t^4.22 + t^4.261 + t^4.895 + 2*t^4.935 + t^5.609 + 2*t^5.919 + 3*t^5.96 - t^6. - t^4.065/y - t^4.065*y | detail |