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 |
---|---|---|---|---|---|---|---|---|---|
73 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.6391, 0.9718], qb:[0.3609, 0.4718], phi:[0.3891]] | [M:[[0, 0]], q:[[-3, 0], [4, 1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -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/(g1^2*g2^2) + g1^3*g2^3*t^2.498 + t^3. + (g1^5*t^3.333)/g2 + (g2^3*t^3.333)/g1^3 + g1^2*g2^2*t^3.666 + g1^7*g2*t^3.998 + (g2^5*t^3.998)/g1 + g1^4*g2^4*t^4.331 + t^4.669/(g1^4*g2^4) + 2*g1*g2*t^4.833 + g1^6*g2^6*t^4.997 + g1^3*g2^3*t^5.498 + g1^8*g2^2*t^5.831 + g2^6*t^5.831 - t^6. + g1^5*g2^5*t^6.164 + (g1^5*t^6.333)/g2 + (g2^3*t^6.333)/g1^3 + g1^10*g2^4*t^6.497 + g1^2*g2^8*t^6.497 - t^6.502/(g1^3*g2^3) + (g1^10*t^6.666)/g2^2 + g1^2*g2^2*t^6.666 + (g2^6*t^6.666)/g1^6 + g1^7*g2^7*t^6.829 - t^6.834/g1^6 - (g1^2*t^6.834)/g2^4 + g1^7*g2*t^6.998 + (g2^5*t^6.998)/g1 + t^7.003/(g1^6*g2^6) + g1^12*t^7.331 + 3*g1^4*g2^4*t^7.331 + (g2^8*t^7.331)/g1^4 + g1^9*g2^9*t^7.495 - (g1^4*t^7.5)/g2^2 - (g2^2*t^7.5)/g1^4 + g1^9*g2^3*t^7.664 + g1*g2^7*t^7.664 - g1*g2*t^7.833 + g1^14*g2^2*t^7.997 + 2*g1^6*g2^6*t^7.997 + (g2^10*t^7.997)/g1^2 + 2*g1^11*g2^5*t^8.329 + 2*g1^3*g2^9*t^8.329 - t^8.334/(g1^2*g2^2) - 2*g1^3*g2^3*t^8.498 + 2*g1^8*g2^8*t^8.662 - (g1^3*t^8.667)/g2^3 - (g2*t^8.667)/g1^5 + g1^8*g2^2*t^8.831 + g2^6*t^8.831 + g1^13*g2^7*t^8.995 + g1^5*g2^11*t^8.995 - t^4.167/(g1*g2*y) - t^6.502/(g1^3*g2^3*y) + (2*g1*g2*t^7.833)/y + t^8.334/(g1^2*g2^2*y) + (g1^3*g2^3*t^8.498)/y + (g1^3*t^8.667)/(g2^3*y) + (g2*t^8.667)/(g1^5*y) + (g1^8*g2^2*t^8.831)/y + (g2^6*t^8.831)/y - t^8.836/(g1^5*g2^5*y) - (t^4.167*y)/(g1*g2) - (t^6.502*y)/(g1^3*g2^3) + 2*g1*g2*t^7.833*y + (t^8.334*y)/(g1^2*g2^2) + g1^3*g2^3*t^8.498*y + (g1^3*t^8.667*y)/g2^3 + (g2*t^8.667*y)/g1^5 + g1^8*g2^2*t^8.831*y + g2^6*t^8.831*y - (t^8.836*y)/(g1^5*g2^5) |
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 |
---|---|---|---|---|---|---|---|---|
112 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5957 | 0.7299 | 0.8162 | [M:[1.0, 0.7645], q:[0.6323, 0.9855], qb:[0.3677, 0.4855], phi:[0.3823]] | 2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. - t^4.147/y - t^4.147*y | detail | |
111 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.5768 | 0.6957 | 0.829 | [M:[1.0], q:[0.6194, 1.0], qb:[0.3806, 0.4775], phi:[0.3806]] | t^2.284 + t^2.574 + t^3. + t^3.291 + t^3.426 + t^3.716 + t^4.007 + t^4.142 + t^4.433 + t^4.567 + 2*t^4.858 + t^5.149 + t^5.574 + t^5.865 - t^4.142/y - t^4.142*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 |
---|---|---|---|---|---|---|---|---|---|
49 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], 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 |