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 |
---|---|---|---|---|---|---|---|---|---|
45857 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 0.5859 | 0.7422 | 0.7895 | [q:[0.75, 0.5], qb:[0.25, 0.5], phi:[0.5]] | [q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 75/128, c: 95/128, q1: 3/4, q2: 1/2, qb1: 1/4, qb2: 1/2, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ 2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 9 | 2*t^2.25 + 4*t^3. + 4*t^3.75 + 6*t^4.5 + 6*t^5.25 + 9*t^6. + 12*t^6.75 + 14*t^7.5 + 10*t^8.25 - t^4.5/y + t^7.5/y + (8*t^8.25)/y - t^4.5*y + t^7.5*y + 8*t^8.25*y | t^2.25/g1 + g1*t^2.25 + 4*t^3. + (2*t^3.75)/g1 + 2*g1*t^3.75 + 2*t^4.5 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + (3*t^5.25)/g1 + 3*g1*t^5.25 + 7*t^6. + t^6./g1^2 + g1^2*t^6. + (2*t^6.75)/g1^3 + (4*t^6.75)/g1 + 4*g1*t^6.75 + 2*g1^3*t^6.75 + 2*t^7.5 + (6*t^7.5)/g1^2 + 6*g1^2*t^7.5 + (3*t^8.25)/g1^3 + (2*t^8.25)/g1 + 2*g1*t^8.25 + 3*g1^3*t^8.25 - t^4.5/y + t^7.5/y + (4*t^8.25)/(g1*y) + (4*g1*t^8.25)/y - t^4.5*y + t^7.5*y + (4*t^8.25*y)/g1 + 4*g1*t^8.25*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 |
---|---|---|---|---|---|---|---|---|
45896 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}q_{2}$ | 0.6052 | 0.7778 | 0.7781 | [M:[0.7392], q:[0.75, 0.5108], qb:[0.25, 0.4892], phi:[0.5]] | 2*t^2.218 + t^2.282 + 4*t^3. + 2*t^3.718 + t^3.782 + 4*t^4.435 + 3*t^4.5 + 2*t^4.565 + 7*t^5.218 + 3*t^5.282 + 3*t^5.935 + 7*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 |
---|---|---|---|---|---|---|---|---|---|
42 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ | 0.6289 | 0.7852 | 0.801 | [q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 3*t^2.5 + t^3. + 3*t^3.5 + 6*t^4. + 6*t^5. + 3*t^5.5 - t^4.5/y - t^4.5*y | detail | {a: 161/256, c: 201/256, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |