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 |
---|---|---|---|---|---|---|---|---|---|
4100 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.5921 | 0.738 | 0.8024 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 0.9167, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1819/3072, c: 2267/3072, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 11/12, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 4*t^5. + 2*t^5.25 + 2*t^5.5 + 4*t^5.75 + 4*t^6.25 + 2*t^6.5 + 4*t^6.75 + t^7. + 4*t^7.25 + 5*t^7.5 + 4*t^7.75 + 5*t^8. + t^8.25 + 5*t^8.5 - 2*t^8.75 - t^4.25/y - t^6.5/y - (2*t^7.)/y + (3*t^7.5)/y + (5*t^8.)/y + (2*t^8.25)/y + t^8.5/y + (5*t^8.75)/y - t^4.25*y - t^6.5*y - 2*t^7.*y + 3*t^7.5*y + 5*t^8.*y + 2*t^8.25*y + t^8.5*y + 5*t^8.75*y | 2*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 4*t^5. + 2*t^5.25 + 2*t^5.5 + 4*t^5.75 + 4*t^6.25 + 2*t^6.5 + 4*t^6.75 + t^7. + 4*t^7.25 + 5*t^7.5 + 4*t^7.75 + 5*t^8. + t^8.25 + 5*t^8.5 - 2*t^8.75 - t^4.25/y - t^6.5/y - (2*t^7.)/y + (3*t^7.5)/y + (5*t^8.)/y + (2*t^8.25)/y + t^8.5/y + (5*t^8.75)/y - t^4.25*y - t^6.5*y - 2*t^7.*y + 3*t^7.5*y + 5*t^8.*y + 2*t^8.25*y + t^8.5*y + 5*t^8.75*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 |
---|---|---|---|---|---|---|---|---|
5624 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}M_{8}$ | 0.6112 | 0.7726 | 0.791 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 0.9167, 1.0, 0.75], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^4. + 6*t^4.5 + t^4.75 + 6*t^5. + 3*t^5.25 + 2*t^5.5 + 6*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 3755/6144, c: 4747/6144, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 11/12, M7: 1, M8: 3/4, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
2118 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6541 | 0.825 | 0.7928 | [M:[1.1748, 1.2168, 0.7412, 0.8252, 0.8252, 0.7412, 0.6992], q:[0.8042, 0.4546], qb:[0.3706, 0.8042], phi:[0.3916]] | t^2.098 + 2*t^2.224 + 2*t^2.476 + t^3.398 + t^3.524 + 2*t^3.65 + t^4.195 + 2*t^4.321 + 3*t^4.447 + 2*t^4.573 + 4*t^4.699 + t^4.825 + 3*t^4.951 + t^5.496 + 3*t^5.622 + 3*t^5.748 + 4*t^5.874 - t^6. - t^4.175/y - t^4.175*y | detail |