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 |
|---|---|---|---|---|---|---|---|---|---|
| 53862 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6388 | 0.7929 | 0.8057 | [M:[1.1508, 0.7263, 0.8492, 0.8082, 1.2328, 0.6853], q:[0.4041, 0.4451], qb:[0.8696, 0.7468], phi:[0.3836]] | [M:[[12], [18], [-12], [-2], [-8], [28]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}M_{2}\phi_{1}q_{2}^{2}$ | 0 | t^2.056 + t^2.179 + t^2.425 + t^2.547 + t^3.453 + t^3.575 + 2*t^3.698 + t^3.821 + t^4.112 + t^4.235 + t^4.358 + t^4.481 + 2*t^4.603 + t^4.726 + 2*t^4.849 + t^4.972 + t^5.095 + t^5.508 + 2*t^5.631 + 2*t^5.754 + 2*t^5.877 + t^6.123 + t^6.168 + 2*t^6.246 + t^6.291 + t^6.369 + t^6.414 + 2*t^6.536 + 2*t^6.659 + 2*t^6.782 + 3*t^6.905 + 2*t^7.028 + 2*t^7.151 + 2*t^7.274 + 2*t^7.397 + t^7.519 + t^7.564 + t^7.642 + 2*t^7.687 + 3*t^7.81 + 2*t^7.933 + t^8.056 + t^8.224 + 2*t^8.302 + t^8.347 - t^8.425 + t^8.47 + 2*t^8.592 + 3*t^8.715 + t^8.793 + 2*t^8.838 + t^8.916 + 4*t^8.961 - t^4.151/y - t^6.207/y - t^6.33/y - t^6.575/y + t^7.235/y + t^7.481/y + (2*t^7.603)/y + (2*t^7.726)/y + (2*t^7.972)/y + t^8.095/y - t^8.263/y - t^8.386/y + t^8.631/y + (2*t^8.754)/y + (4*t^8.877)/y - t^4.151*y - t^6.207*y - t^6.33*y - t^6.575*y + t^7.235*y + t^7.481*y + 2*t^7.603*y + 2*t^7.726*y + 2*t^7.972*y + t^8.095*y - t^8.263*y - t^8.386*y + t^8.631*y + 2*t^8.754*y + 4*t^8.877*y | g1^28*t^2.056 + g1^18*t^2.179 + t^2.425/g1^2 + t^2.547/g1^12 + g1^12*t^3.453 + g1^2*t^3.575 + (2*t^3.698)/g1^8 + t^3.821/g1^18 + g1^56*t^4.112 + g1^46*t^4.235 + g1^36*t^4.358 + g1^26*t^4.481 + 2*g1^16*t^4.603 + g1^6*t^4.726 + (2*t^4.849)/g1^4 + t^4.972/g1^14 + t^5.095/g1^24 + g1^40*t^5.508 + 2*g1^30*t^5.631 + 2*g1^20*t^5.754 + 2*g1^10*t^5.877 + t^6.123/g1^10 + g1^84*t^6.168 + (2*t^6.246)/g1^20 + g1^74*t^6.291 + t^6.369/g1^30 + g1^64*t^6.414 + 2*g1^54*t^6.536 + 2*g1^44*t^6.659 + 2*g1^34*t^6.782 + 3*g1^24*t^6.905 + 2*g1^14*t^7.028 + 2*g1^4*t^7.151 + (2*t^7.274)/g1^6 + (2*t^7.397)/g1^16 + t^7.519/g1^26 + g1^68*t^7.564 + t^7.642/g1^36 + 2*g1^58*t^7.687 + 3*g1^48*t^7.81 + 2*g1^38*t^7.933 + g1^28*t^8.056 + g1^112*t^8.224 + 2*g1^8*t^8.302 + g1^102*t^8.347 - t^8.425/g1^2 + g1^92*t^8.47 + 2*g1^82*t^8.592 + 3*g1^72*t^8.715 + t^8.793/g1^32 + 2*g1^62*t^8.838 + t^8.916/g1^42 + 4*g1^52*t^8.961 - (g1^4*t^4.151)/y - (g1^32*t^6.207)/y - (g1^22*t^6.33)/y - (g1^2*t^6.575)/y + (g1^46*t^7.235)/y + (g1^26*t^7.481)/y + (2*g1^16*t^7.603)/y + (2*g1^6*t^7.726)/y + (2*t^7.972)/(g1^14*y) + t^8.095/(g1^24*y) - (g1^60*t^8.263)/y - (g1^50*t^8.386)/y + (g1^30*t^8.631)/y + (2*g1^20*t^8.754)/y + (4*g1^10*t^8.877)/y - g1^4*t^4.151*y - g1^32*t^6.207*y - g1^22*t^6.33*y - g1^2*t^6.575*y + g1^46*t^7.235*y + g1^26*t^7.481*y + 2*g1^16*t^7.603*y + 2*g1^6*t^7.726*y + (2*t^7.972*y)/g1^14 + (t^8.095*y)/g1^24 - g1^60*t^8.263*y - g1^50*t^8.386*y + g1^30*t^8.631*y + 2*g1^20*t^8.754*y + 4*g1^10*t^8.877*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 |
|---|---|---|---|---|---|---|---|---|
| 56500 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6523 | 0.8156 | 0.7998 | [M:[1.1605, 0.7407, 0.8395, 0.8066, 1.2264, 0.7077, 0.8395], q:[0.4033, 0.4362], qb:[0.856, 0.7572], phi:[0.3868]] | t^2.123 + t^2.222 + t^2.42 + 2*t^2.519 + t^3.58 + 2*t^3.679 + t^3.778 + t^4.246 + t^4.345 + t^4.444 + t^4.543 + 3*t^4.642 + 2*t^4.741 + 2*t^4.84 + 2*t^4.938 + 3*t^5.037 + t^5.703 + 2*t^5.802 + t^5.901 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 56495 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.5775 | 0.7204 | 0.8017 | [M:[1.2857, 0.9286, 0.7143, 0.7857, 1.1429, 1.0], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]] | t^2.143 + t^2.357 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.643 + t^3.857 + t^4.286 + t^4.5 + 2*t^4.714 + t^4.929 + 2*t^5.143 + 2*t^5.357 + 3*t^5.571 + 2*t^5.786 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 6339/10976, c: 7907/10976, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 8/7, M6: 1, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7} |
| 56501 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6588 | 0.8309 | 0.7928 | [M:[1.1456, 0.7184, 0.8544, 0.8091, 1.2363, 0.673, 0.7184], q:[0.4045, 0.4499], qb:[0.8771, 0.741], phi:[0.3819]] | t^2.019 + 2*t^2.155 + t^2.427 + t^2.563 + t^3.437 + t^3.573 + 2*t^3.709 + t^4.038 + 2*t^4.174 + 3*t^4.31 + t^4.446 + 3*t^4.582 + 2*t^4.718 + 2*t^4.854 + t^4.99 + t^5.127 + t^5.456 + 3*t^5.592 + 3*t^5.728 + 3*t^5.864 - t^6. - t^4.146/y - t^4.146*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48204 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6181 | 0.7529 | 0.821 | [M:[1.1559, 0.7339, 0.8441, 0.8073, 1.2294], q:[0.4037, 0.4404], qb:[0.8625, 0.7522], phi:[0.3853]] | t^2.202 + t^2.422 + t^2.532 + t^3.468 + t^3.578 + 2*t^3.688 + t^3.798 + t^3.909 + t^4.403 + t^4.624 + t^4.734 + 2*t^4.844 + t^4.954 + t^5.065 + t^5.669 + t^5.89 - t^4.156/y - t^4.156*y | detail |