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 |
|---|---|---|---|---|---|---|---|---|---|
| 1713 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6276 | 0.7929 | 0.7915 | [M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]] | [M:[[1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.25 + t^2.565 + t^3. + 2*t^3.315 + t^3.435 + t^3.63 + t^3.75 + t^3.87 + t^4.065 + t^4.185 + 4*t^4.5 + 2*t^4.815 + t^5.13 + 2*t^5.25 + 4*t^5.565 + t^5.685 + 3*t^5.88 + t^6.12 + t^6.195 + 2*t^6.315 + t^6.435 + 4*t^6.63 + 6*t^6.75 + t^6.87 + 2*t^6.945 + 4*t^7.065 + t^7.26 + t^7.305 + 3*t^7.38 + 3*t^7.5 + 2*t^7.695 + t^7.74 + 6*t^7.815 + t^8.055 + 6*t^8.13 - 2*t^8.25 + 2*t^8.37 + 3*t^8.445 + t^8.565 + t^8.76 + 5*t^8.88 - t^4.5/y - t^6.75/y + t^7.185/y + t^7.5/y + t^7.815/y + (3*t^8.25)/y + (5*t^8.565)/y + (2*t^8.685)/y + (4*t^8.88)/y - t^4.5*y - t^6.75*y + t^7.185*y + t^7.5*y + t^7.815*y + 3*t^8.25*y + 5*t^8.565*y + 2*t^8.685*y + 4*t^8.88*y | 2*t^2.25 + g1*t^2.565 + t^3. + 2*g1*t^3.315 + t^3.435/g1 + g1^2*t^3.63 + t^3.75 + t^3.87/g1^2 + g1*t^4.065 + t^4.185/g1 + 4*t^4.5 + 2*g1*t^4.815 + g1^2*t^5.13 + 2*t^5.25 + 4*g1*t^5.565 + t^5.685/g1 + 3*g1^2*t^5.88 + t^6.12/g1^2 + g1^3*t^6.195 + 2*g1*t^6.315 + t^6.435/g1 + 4*g1^2*t^6.63 + 6*t^6.75 + t^6.87/g1^2 + 2*g1^3*t^6.945 + 4*g1*t^7.065 + g1^4*t^7.26 + t^7.305/g1^3 + 3*g1^2*t^7.38 + 3*t^7.5 + 2*g1^3*t^7.695 + t^7.74/g1^4 + 6*g1*t^7.815 + t^8.055/g1^3 + 6*g1^2*t^8.13 - 2*t^8.25 + (2*t^8.37)/g1^2 + 3*g1^3*t^8.445 + g1*t^8.565 + g1^4*t^8.76 + 5*g1^2*t^8.88 - t^4.5/y - t^6.75/y + t^7.185/(g1*y) + t^7.5/y + (g1*t^7.815)/y + (3*t^8.25)/y + (5*g1*t^8.565)/y + (2*t^8.685)/(g1*y) + (4*g1^2*t^8.88)/y - t^4.5*y - t^6.75*y + (t^7.185*y)/g1 + t^7.5*y + g1*t^7.815*y + 3*t^8.25*y + 5*g1*t^8.565*y + (2*t^8.685*y)/g1 + 4*g1^2*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 2710 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6379 | 0.8098 | 0.7878 | [M:[1.125, 0.75, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 2*t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 3*t^3.75 + 2*t^4.125 + 4*t^4.5 + 4*t^4.875 + 5*t^5.25 + 4*t^5.625 + 5*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2613/4096, c: 3317/4096, M1: 9/8, M2: 3/4, M3: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
| 2712 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ | 0.6085 | 0.7582 | 0.8026 | [M:[1.105, 0.75, 1.25], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]] | t^2.25 + t^2.565 + t^3. + 2*t^3.315 + t^3.435 + t^3.63 + 2*t^3.75 + t^3.87 + t^4.065 + t^4.185 + 2*t^4.5 + t^4.815 + t^5.13 + t^5.25 + 2*t^5.565 + 2*t^5.88 - t^4.5/y - t^4.5*y | detail | |
| 2711 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 0.6481 | 0.8329 | 0.7781 | [M:[1.0975, 0.75, 0.6949], q:[0.75, 0.4025], qb:[0.5, 0.3475], phi:[0.5]] | t^2.085 + 2*t^2.25 + t^2.542 + t^3. + 2*t^3.292 + t^3.458 + t^3.585 + t^3.75 + t^4.042 + t^4.17 + t^4.208 + 2*t^4.335 + 4*t^4.5 + t^4.627 + 2*t^4.792 + 2*t^5.085 + 2*t^5.25 + 2*t^5.377 + 5*t^5.542 + t^5.67 + t^5.708 + 4*t^5.835 - t^4.5/y - t^4.5*y | detail | |
| 2709 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6466 | 0.8276 | 0.7814 | [M:[1.105, 0.75, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]] | 3*t^2.25 + t^2.565 + t^3. + 2*t^3.315 + t^3.435 + t^3.63 + t^3.87 + t^4.065 + t^4.185 + 7*t^4.5 + 3*t^4.815 + t^5.13 + 3*t^5.25 + 6*t^5.565 + 2*t^5.685 + 4*t^5.88 - 2*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 103 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6363 | 0.8038 | 0.7916 | [M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.4275, 0.392], phi:[0.5]] | t^2.032 + t^2.458 + t^2.468 + t^3. + 2*t^3.426 + t^3.532 + t^3.542 + t^3.852 + t^3.958 + 2*t^4.065 + t^4.074 + t^4.083 + t^4.491 + t^4.5 + t^4.917 + t^4.926 + t^4.935 + t^5.032 + 3*t^5.458 + t^5.468 + t^5.565 + t^5.574 + 2*t^5.884 + t^5.893 + t^5.991 - t^6. - t^4.5/y - t^4.5*y | detail |