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 |
|---|---|---|---|---|---|---|---|---|---|
| 45856 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]] | [M:[[0, 0]], q:[[-1, 2], [1, 0]], qb:[[0, 1], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -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/g2^4 + g2^6*t^2.498 + t^3. + g1*g2*t^3.333 + (g2^3*t^3.333)/g1 + g2^4*t^3.666 + g1*g2^5*t^3.998 + (g2^7*t^3.998)/g1 + g2^8*t^4.331 + t^4.669/g2^8 + 2*g2^2*t^4.833 + g2^12*t^4.997 + g2^6*t^5.498 + g1*g2^7*t^5.831 + (g2^9*t^5.831)/g1 - t^6. + g2^10*t^6.164 + g1*g2*t^6.333 + (g2^3*t^6.333)/g1 + g1*g2^11*t^6.497 + (g2^13*t^6.497)/g1 - t^6.502/g2^6 + g1^2*g2^2*t^6.666 + g2^4*t^6.666 + (g2^6*t^6.666)/g1^2 + g2^14*t^6.829 - (g1*t^6.834)/g2^5 - t^6.834/(g1*g2^3) + g1*g2^5*t^6.998 + (g2^7*t^6.998)/g1 + t^7.003/g2^12 + g1^2*g2^6*t^7.331 + 3*g2^8*t^7.331 + (g2^10*t^7.331)/g1^2 + g2^18*t^7.495 - (g1*t^7.5)/g2 - (g2*t^7.5)/g1 + g1*g2^9*t^7.664 + (g2^11*t^7.664)/g1 - g2^2*t^7.833 + g1^2*g2^10*t^7.997 + 2*g2^12*t^7.997 + (g2^14*t^7.997)/g1^2 + 2*g1*g2^13*t^8.329 + (2*g2^15*t^8.329)/g1 - t^8.334/g2^4 - 2*g2^6*t^8.498 + 2*g2^16*t^8.662 - (g1*t^8.667)/g2^3 - t^8.667/(g1*g2) + g1*g2^7*t^8.831 + (g2^9*t^8.831)/g1 + g1*g2^17*t^8.995 + (g2^19*t^8.995)/g1 - t^4.167/(g2^2*y) - t^6.502/(g2^6*y) + (2*g2^2*t^7.833)/y + t^8.334/(g2^4*y) + (g2^6*t^8.498)/y + (g1*t^8.667)/(g2^3*y) + t^8.667/(g1*g2*y) + (g1*g2^7*t^8.831)/y + (g2^9*t^8.831)/(g1*y) - t^8.836/(g2^10*y) - (t^4.167*y)/g2^2 - (t^6.502*y)/g2^6 + 2*g2^2*t^7.833*y + (t^8.334*y)/g2^4 + g2^6*t^8.498*y + (g1*t^8.667*y)/g2^3 + (t^8.667*y)/(g1*g2) + g1*g2^7*t^8.831*y + (g2^9*t^8.831*y)/g1 - (t^8.836*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45923 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.875, 0.875], qb:[0.375, 0.875], phi:[0.25]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 7/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
| 45933 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5768 | 0.6957 | 0.829 | [M:[1.0], q:[0.7872, 0.8322], qb:[0.3097, 0.5484], 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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45833 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 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 |