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 |
---|---|---|---|---|---|---|---|---|---|
45931 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6923 | 0.8497 | 0.8147 | [M:[0.9812], q:[0.4906, 0.5282], qb:[0.4906, 0.4906], phi:[0.5]] | [M:[[2]], q:[[1], [-3]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | 4*t^2.944 + t^3. + 2*t^3.056 + 6*t^4.444 + 3*t^4.556 + t^4.669 + 7*t^5.887 + 4*t^5.944 - 2*t^6. + 2*t^6.056 + 18*t^7.387 + 6*t^7.5 + 4*t^7.613 + 2*t^7.726 + 10*t^8.831 + 22*t^8.887 - 20*t^8.944 - t^4.5/y - t^7.444/y + t^7.556/y + (6*t^8.887)/y + (4*t^8.944)/y - t^4.5*y - t^7.444*y + t^7.556*y + 6*t^8.887*y + 4*t^8.944*y | 4*g1^2*t^2.944 + t^3. + (2*t^3.056)/g1^2 + 6*g1^2*t^4.444 + (3*t^4.556)/g1^2 + t^4.669/g1^6 + 7*g1^4*t^5.887 + 4*g1^2*t^5.944 - 2*t^6. + (2*t^6.056)/g1^2 + 18*g1^4*t^7.387 + 6*t^7.5 + (4*t^7.613)/g1^4 + (2*t^7.726)/g1^8 + 10*g1^6*t^8.831 + 22*g1^4*t^8.887 - 20*g1^2*t^8.944 - t^4.5/y - (g1^2*t^7.444)/y + t^7.556/(g1^2*y) + (6*g1^4*t^8.887)/y + (4*g1^2*t^8.944)/y - t^4.5*y - g1^2*t^7.444*y + (t^7.556*y)/g1^2 + 6*g1^4*t^8.887*y + 4*g1^2*t^8.944*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 |
---|---|---|---|---|---|---|---|---|
45997 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6949 | 0.8559 | 0.8119 | [M:[0.962, 0.962], q:[0.481, 0.557], qb:[0.481, 0.481], phi:[0.5]] | 5*t^2.886 + t^3. + t^3.114 + 6*t^4.386 + 3*t^4.614 + t^4.842 + 12*t^5.772 + 5*t^5.886 - 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 |