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 |
|---|---|---|---|---|---|---|---|---|---|
| 3009 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5845 | 0.7251 | 0.8061 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1197/2048, c: 1485/2048, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 3*t^5.75 + t^6. + 3*t^6.25 + 2*t^6.5 + 5*t^6.75 + 2*t^7. + 2*t^7.25 + 4*t^7.5 + 3*t^7.75 + 4*t^8. + t^8.25 + 3*t^8.5 - t^4.25/y - t^6.5/y - t^7./y + (2*t^7.5)/y + (3*t^8.)/y + (2*t^8.25)/y + (2*t^8.5)/y + (4*t^8.75)/y - t^4.25*y - t^6.5*y - t^7.*y + 2*t^7.5*y + 3*t^8.*y + 2*t^8.25*y + 2*t^8.5*y + 4*t^8.75*y | 2*t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 3*t^5.75 + t^6. + 3*t^6.25 + 2*t^6.5 + 5*t^6.75 + 2*t^7. + 2*t^7.25 + 4*t^7.5 + 3*t^7.75 + 4*t^8. + t^8.25 + 3*t^8.5 - t^4.25/y - t^6.5/y - t^7./y + (2*t^7.5)/y + (3*t^8.)/y + (2*t^8.25)/y + (2*t^8.5)/y + (4*t^8.75)/y - t^4.25*y - t^6.5*y - t^7.*y + 2*t^7.5*y + 3*t^8.*y + 2*t^8.25*y + 2*t^8.5*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 4886 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{7}$ | 0.6035 | 0.7598 | 0.7943 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 1.0, 0.75], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^4. + 6*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 5*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 309/512, c: 389/512, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 1, M7: 3/4, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 4885 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{7}$ | 0.5768 | 0.7122 | 0.8099 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 1.0, 1.0833], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 443/768, c: 547/768, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 1, M7: 13/12, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1961 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6349 | 0.7889 | 0.8048 | [M:[1.1787, 1.2142, 0.7503, 0.8213, 0.8213, 0.7147], q:[0.8036, 0.4462], qb:[0.3751, 0.8036], phi:[0.3929]] | t^2.144 + t^2.251 + 2*t^2.464 + t^3.429 + t^3.536 + 2*t^3.643 + t^3.749 + t^4.288 + t^4.395 + t^4.502 + 2*t^4.608 + 2*t^4.715 + t^4.821 + 3*t^4.928 + t^5.574 + 2*t^5.68 + 2*t^5.787 + 3*t^5.893 - t^4.179/y - t^4.179*y | detail |