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 |
---|---|---|---|---|---|---|---|---|---|
45925 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6923 | 0.8496 | 0.8148 | [M:[0.9819], q:[0.5091, 0.5091], qb:[0.5091, 0.4728], phi:[0.5]] | [M:[[2]], q:[[-1], [-1]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -2 | 4*t^2.946 + t^3. + 2*t^3.054 + t^4.337 + 3*t^4.446 + 6*t^4.554 + 7*t^5.891 + 4*t^5.946 - 2*t^6. + 2*t^6.054 + 4*t^7.282 + 8*t^7.391 + 12*t^7.5 + 6*t^7.609 + t^8.674 + 3*t^8.782 + 8*t^8.837 + 13*t^8.891 - 14*t^8.946 - t^4.5/y - t^7.446/y + t^7.554/y + (6*t^8.891)/y + (4*t^8.946)/y - t^4.5*y - t^7.446*y + t^7.554*y + 6*t^8.891*y + 4*t^8.946*y | 4*g1^2*t^2.946 + t^3. + (2*t^3.054)/g1^2 + g1^6*t^4.337 + 3*g1^2*t^4.446 + (6*t^4.554)/g1^2 + 7*g1^4*t^5.891 + 4*g1^2*t^5.946 - 2*t^6. + (2*t^6.054)/g1^2 + 4*g1^8*t^7.282 + 8*g1^4*t^7.391 + 12*t^7.5 + (6*t^7.609)/g1^4 + g1^12*t^8.674 + 3*g1^8*t^8.782 + 8*g1^6*t^8.837 + 13*g1^4*t^8.891 - 14*g1^2*t^8.946 - t^4.5/y - (g1^2*t^7.446)/y + t^7.554/(g1^2*y) + (6*g1^4*t^8.891)/y + (4*g1^2*t^8.946)/y - t^4.5*y - g1^2*t^7.446*y + (t^7.554*y)/g1^2 + 6*g1^4*t^8.891*y + 4*g1^2*t^8.946*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 |
---|---|---|---|---|---|---|---|---|
46001 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6948 | 0.8554 | 0.8122 | [M:[0.9646, 0.9646], q:[0.5177, 0.5177], qb:[0.5177, 0.4469], phi:[0.5]] | 5*t^2.894 + t^3. + t^3.106 + t^4.182 + 3*t^4.394 + 6*t^4.606 + 12*t^5.788 + 5*t^5.894 - 5*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
45839 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.6927 | 0.8507 | 0.8143 | [M:[0.9724], q:[0.4996, 0.528], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.917 + t^2.998 + t^3. + t^3.002 + t^3.083 + t^4.337 + 2*t^4.417 + 3*t^4.498 + t^4.502 + 2*t^4.583 + t^4.668 + 5*t^5.834 + t^5.915 + 3*t^5.917 + t^5.919 + t^5.995 + t^5.998 - 2*t^6. - t^4.5/y - t^4.5*y | detail |