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 |
|---|---|---|---|---|---|---|---|---|---|
| 4084 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6788 | 0.8471 | 0.8014 | [M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.7692, 0.8462], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 11931/17576, c: 29777/35152, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 10/13, M7: 11/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 5*t^5.308 + 4*t^5.538 - t^6. + t^6.231 + 5*t^6.462 + 7*t^6.692 + 6*t^6.923 + 3*t^7.154 + 4*t^7.385 + 7*t^7.615 + 10*t^7.846 + 8*t^8.077 + 3*t^8.308 - 3*t^8.538 - t^8.769 - t^4.385/y - t^6.692/y - t^6.923/y - t^7.154/y + t^7.615/y + (3*t^7.846)/y + (4*t^8.077)/y + (5*t^8.308)/y + (3*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.692*y - t^6.923*y - t^7.154*y + t^7.615*y + 3*t^7.846*y + 4*t^8.077*y + 5*t^8.308*y + 3*t^8.538*y + 2*t^8.769*y | t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 5*t^5.308 + 4*t^5.538 - t^6. + t^6.231 + 5*t^6.462 + 7*t^6.692 + 6*t^6.923 + 3*t^7.154 + 4*t^7.385 + 7*t^7.615 + 10*t^7.846 + 8*t^8.077 + 3*t^8.308 - 3*t^8.538 - t^8.769 - t^4.385/y - t^6.692/y - t^6.923/y - t^7.154/y + t^7.615/y + (3*t^7.846)/y + (4*t^8.077)/y + (5*t^8.308)/y + (3*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.692*y - t^6.923*y - t^7.154*y + t^7.615*y + 3*t^7.846*y + 4*t^8.077*y + 5*t^8.308*y + 3*t^8.538*y + 2*t^8.769*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 |
|---|---|---|---|---|---|---|---|---|
| 5615 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.697 | 0.8797 | 0.7923 | [M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.7692, 0.8462, 0.7692], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | 2*t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + 2*t^3.923 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 4*t^4.846 + 7*t^5.077 + 6*t^5.308 + 4*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 24501/35152, c: 30923/35152, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 10/13, M7: 11/13, M8: 10/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1700 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6654 | 0.8241 | 0.8075 | [M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.7692], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 23391/35152, c: 3621/4394, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 10/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |