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 |
---|---|---|---|---|---|---|---|---|---|
57435 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.9229 | 1.1104 | 0.8311 | [X:[1.4167, 1.5, 1.5, 1.5833], q:[0.3611, 0.2778], qb:[0.2222, 0.1389], phi:[0.5]] | [X:[[-3], [0], [0], [3]], q:[[1], [-2]], qb:[[2], [-1]], phi:[[0]]] | 1 | {a: 945/1024, c: 1137/1024, X1: 17/12, X2: 3/2, X3: 3/2, X4: 19/12, q1: 13/36, q2: 5/18, qb1: 2/9, qb2: 5/36, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{4}$ | 4 | t^2.75 + 4*t^3. + 2*t^3.25 + 3*t^4.25 + 7*t^4.5 + 3*t^4.75 + t^5.5 + 3*t^5.75 + 4*t^6. + 3*t^6.25 + 4*t^6.5 + 4*t^7. + 10*t^7.25 + 19*t^7.5 + 15*t^7.75 + 3*t^8. + t^8.25 + 6*t^8.5 + 7*t^8.75 - t^4.5/y - t^6./y + t^7.5/y + (2*t^8.75)/y - t^4.5*y - t^6.*y + t^7.5*y + 2*t^8.75*y | t^2.75/g1^3 + 4*t^3. + 2*g1^3*t^3.25 + (3*t^4.25)/g1^3 + 7*t^4.5 + 3*g1^3*t^4.75 + t^5.5/g1^6 + (3*t^5.75)/g1^3 + 4*t^6. + 3*g1^3*t^6.25 + 4*g1^6*t^6.5 + (4*t^7.)/g1^6 + (10*t^7.25)/g1^3 + 19*t^7.5 + 15*g1^3*t^7.75 + 3*g1^6*t^8. + t^8.25/g1^9 + (6*t^8.5)/g1^6 + (7*t^8.75)/g1^3 - t^4.5/y - t^6./y + t^7.5/y + (2*t^8.75)/(g1^3*y) - t^4.5*y - t^6.*y + t^7.5*y + (2*t^8.75*y)/g1^3 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
47896 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 0.9308 | 1.1183 | 0.8323 | [X:[1.4226, 1.5774, 1.4226, 1.5774], q:[0.3849, 0.2302], qb:[0.1925, 0.1925], phi:[0.5]] | 2*t^2.768 + t^3. + 4*t^3.232 + t^4.036 + 4*t^4.268 + 2*t^4.5 + 6*t^4.732 + 3*t^5.536 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |