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 |
|---|---|---|---|---|---|---|---|---|---|
| 3218 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.6189 | 0.7751 | 0.7984 | [M:[1.125, 0.75, 0.875, 1.25], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | [M:[[1], [0], [-1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 2535/4096, c: 3175/4096, M1: 9/8, M2: 3/4, M3: 7/8, M4: 5/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{3}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$ | 3 | t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 4*t^3.75 + 2*t^4.125 + 2*t^4.5 + 2*t^4.875 + 4*t^5.25 + 2*t^5.625 + 3*t^6. + 6*t^6.375 + 7*t^6.75 + 6*t^7.125 + 9*t^7.5 + 8*t^7.875 + 5*t^8.25 + 2*t^8.625 - t^4.5/y + (2*t^7.875)/y + (2*t^8.25)/y + (4*t^8.625)/y - t^4.5*y + 2*t^7.875*y + 2*t^8.25*y + 4*t^8.625*y | t^2.25 + t^2.625/g1 + g1*t^2.625 + t^3. + t^3.375/g1 + g1*t^3.375 + 2*t^3.75 + t^3.75/g1^2 + g1^2*t^3.75 + t^4.125/g1 + g1*t^4.125 + 2*t^4.5 + t^4.875/g1 + g1*t^4.875 + 2*t^5.25 + t^5.25/g1^2 + g1^2*t^5.25 + t^5.625/g1 + g1*t^5.625 + t^6. + t^6./g1^2 + g1^2*t^6. + t^6.375/g1^3 + (2*t^6.375)/g1 + 2*g1*t^6.375 + g1^3*t^6.375 + 3*t^6.75 + (2*t^6.75)/g1^2 + 2*g1^2*t^6.75 + t^7.125/g1^3 + (2*t^7.125)/g1 + 2*g1*t^7.125 + g1^3*t^7.125 + 3*t^7.5 + t^7.5/g1^4 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + g1^4*t^7.5 + (2*t^7.875)/g1^3 + (2*t^7.875)/g1 + 2*g1*t^7.875 + 2*g1^3*t^7.875 + t^8.25 + (2*t^8.25)/g1^2 + 2*g1^2*t^8.25 + t^8.625/g1^3 + g1^3*t^8.625 - t^4.5/y + t^7.875/(g1*y) + (g1*t^7.875)/y + (2*t^8.25)/y + (2*t^8.625)/(g1*y) + (2*g1*t^8.625)/y - t^4.5*y + (t^7.875*y)/g1 + g1*t^7.875*y + 2*t^8.25*y + (2*t^8.625*y)/g1 + 2*g1*t^8.625*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 |
|---|---|---|---|---|---|---|---|---|
| 3637 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6308 | 0.796 | 0.7925 | [M:[1.1069, 0.75, 0.8931, 1.25, 0.8569], q:[0.75, 0.3931], qb:[0.5, 0.3569], phi:[0.5]] | t^2.25 + 2*t^2.571 + t^2.679 + t^3. + t^3.321 + t^3.641 + 2*t^3.75 + t^3.859 + t^4.071 + t^4.179 + 2*t^4.5 + 2*t^4.821 + t^4.929 + 3*t^5.141 + 3*t^5.25 + t^5.359 + 2*t^5.571 + 2*t^5.891 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2710 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 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} |