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 |
---|---|---|---|---|---|---|---|---|---|
96 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]] | [M:[[0]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.334 + t^2.498 + t^3. + 2*t^3.333 + t^3.666 + 2*t^3.998 + t^4.331 + t^4.669 + 2*t^4.833 + t^4.997 + t^5.498 + 2*t^5.831 - t^6. + t^6.164 + 2*t^6.333 + 2*t^6.497 - t^6.502 + 3*t^6.666 + t^6.829 - 2*t^6.834 + 2*t^6.998 + t^7.003 + 5*t^7.331 + t^7.495 - 2*t^7.5 + 2*t^7.664 - t^7.833 + 4*t^7.997 + 4*t^8.329 - t^8.334 - 2*t^8.498 + 2*t^8.662 - 2*t^8.667 + 2*t^8.831 + 2*t^8.995 - t^4.167/y - t^6.502/y + (2*t^7.833)/y + t^8.334/y + t^8.498/y + (2*t^8.667)/y + (2*t^8.831)/y - t^8.836/y - t^4.167*y - t^6.502*y + 2*t^7.833*y + t^8.334*y + t^8.498*y + 2*t^8.667*y + 2*t^8.831*y - t^8.836*y | t^2.334/g1^4 + g1^6*t^2.498 + t^3. + 2*g1^2*t^3.333 + g1^4*t^3.666 + 2*g1^6*t^3.998 + g1^8*t^4.331 + t^4.669/g1^8 + 2*g1^2*t^4.833 + g1^12*t^4.997 + g1^6*t^5.498 + 2*g1^8*t^5.831 - t^6. + g1^10*t^6.164 + 2*g1^2*t^6.333 + 2*g1^12*t^6.497 - t^6.502/g1^6 + 3*g1^4*t^6.666 + g1^14*t^6.829 - (2*t^6.834)/g1^4 + 2*g1^6*t^6.998 + t^7.003/g1^12 + 5*g1^8*t^7.331 + g1^18*t^7.495 - 2*t^7.5 + 2*g1^10*t^7.664 - g1^2*t^7.833 + 4*g1^12*t^7.997 + 4*g1^14*t^8.329 - t^8.334/g1^4 - 2*g1^6*t^8.498 + 2*g1^16*t^8.662 - (2*t^8.667)/g1^2 + 2*g1^8*t^8.831 + 2*g1^18*t^8.995 - t^4.167/(g1^2*y) - t^6.502/(g1^6*y) + (2*g1^2*t^7.833)/y + t^8.334/(g1^4*y) + (g1^6*t^8.498)/y + (2*t^8.667)/(g1^2*y) + (2*g1^8*t^8.831)/y - t^8.836/(g1^10*y) - (t^4.167*y)/g1^2 - (t^6.502*y)/g1^6 + 2*g1^2*t^7.833*y + (t^8.334*y)/g1^4 + g1^6*t^8.498*y + (2*t^8.667*y)/g1^2 + 2*g1^8*t^8.831*y - (t^8.836*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
154 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5762 | 0.6934 | 0.831 | [M:[1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + t^2.625 + t^3. + 2*t^3.375 + t^3.75 + 2*t^4.125 + 2*t^4.5 + 2*t^4.875 + t^5.25 + t^5.625 + t^6. - t^4.125/y - t^4.125*y | detail | {a: 9441/16384, c: 11361/16384, M1: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
63 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y | detail |