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 |
|---|---|---|---|---|---|---|---|---|---|
| 697 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6877 | 0.8539 | 0.8054 | [M:[1.0082, 1.1111, 0.9918, 0.7695, 0.6831], q:[0.7778, 0.4362], qb:[0.5556, 0.4527], phi:[0.4444]] | [M:[[1], [0], [-1], [-1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.049 + t^2.309 + t^2.667 + t^2.975 + t^3.025 + t^3.333 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + t^4.716 + t^4.975 + t^5.025 + t^5.074 + t^5.284 + 2*t^5.333 + t^5.383 + t^5.642 + t^5.691 + t^5.951 - t^6. + 2*t^6.049 + t^6.099 + t^6.148 + 2*t^6.309 + t^6.358 + 2*t^6.407 + 2*t^6.617 + 3*t^6.667 + 2*t^6.716 + t^6.765 + t^6.926 + 2*t^6.975 + 2*t^7.025 + 2*t^7.074 + t^7.123 + t^7.284 + 2*t^7.333 + 2*t^7.383 + t^7.432 + t^7.593 + 3*t^7.642 + t^7.691 + t^7.741 + t^7.951 + 3*t^8. + 3*t^8.099 + t^8.148 + t^8.198 + t^8.259 - t^8.309 + 2*t^8.358 + 2*t^8.407 + 2*t^8.457 + t^8.617 + t^8.667 + 3*t^8.716 + 2*t^8.765 + t^8.815 + 2*t^8.926 + t^8.975 - t^4.333/y - t^6.383/y - t^6.642/y + t^7.358/y + t^7.716/y + t^7.975/y + (2*t^8.025)/y + t^8.074/y + (2*t^8.284)/y + t^8.333/y + t^8.383/y - t^8.432/y + (2*t^8.642)/y + t^8.691/y - t^4.333*y - t^6.383*y - t^6.642*y + t^7.358*y + t^7.716*y + t^7.975*y + 2*t^8.025*y + t^8.074*y + 2*t^8.284*y + t^8.333*y + t^8.383*y - t^8.432*y + 2*t^8.642*y + t^8.691*y | g1^2*t^2.049 + t^2.309/g1 + t^2.667 + t^2.975/g1 + g1*t^3.025 + t^3.333 + t^3.642/g1 + 2*t^4. + g1^2*t^4.049 + g1^4*t^4.099 + t^4.309/g1 + 2*g1*t^4.358 + t^4.617/g1^2 + t^4.667 + g1^2*t^4.716 + t^4.975/g1 + g1*t^5.025 + g1^3*t^5.074 + t^5.284/g1^2 + 2*t^5.333 + g1^2*t^5.383 + t^5.642/g1 + g1*t^5.691 + t^5.951/g1^2 - t^6. + 2*g1^2*t^6.049 + g1^4*t^6.099 + g1^6*t^6.148 + (2*t^6.309)/g1 + g1*t^6.358 + 2*g1^3*t^6.407 + (2*t^6.617)/g1^2 + 3*t^6.667 + 2*g1^2*t^6.716 + g1^4*t^6.765 + t^6.926/g1^3 + (2*t^6.975)/g1 + 2*g1*t^7.025 + 2*g1^3*t^7.074 + g1^5*t^7.123 + t^7.284/g1^2 + 2*t^7.333 + 2*g1^2*t^7.383 + g1^4*t^7.432 + t^7.593/g1^3 + (3*t^7.642)/g1 + g1*t^7.691 + g1^3*t^7.741 + t^7.951/g1^2 + 3*t^8. + 3*g1^4*t^8.099 + g1^6*t^8.148 + g1^8*t^8.198 + t^8.259/g1^3 - t^8.309/g1 + 2*g1*t^8.358 + 2*g1^3*t^8.407 + 2*g1^5*t^8.457 + t^8.617/g1^2 + t^8.667 + 3*g1^2*t^8.716 + 2*g1^4*t^8.765 + g1^6*t^8.815 + (2*t^8.926)/g1^3 + t^8.975/g1 - t^4.333/y - (g1^2*t^6.383)/y - t^6.642/(g1*y) + (g1*t^7.358)/y + (g1^2*t^7.716)/y + t^7.975/(g1*y) + (2*g1*t^8.025)/y + (g1^3*t^8.074)/y + (2*t^8.284)/(g1^2*y) + t^8.333/y + (g1^2*t^8.383)/y - (g1^4*t^8.432)/y + (2*t^8.642)/(g1*y) + (g1*t^8.691)/y - t^4.333*y - g1^2*t^6.383*y - (t^6.642*y)/g1 + g1*t^7.358*y + g1^2*t^7.716*y + (t^7.975*y)/g1 + 2*g1*t^8.025*y + g1^3*t^8.074*y + (2*t^8.284*y)/g1^2 + t^8.333*y + g1^2*t^8.383*y - g1^4*t^8.432*y + (2*t^8.642*y)/g1 + g1*t^8.691*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 |
|---|---|---|---|---|---|---|---|---|
| 1127 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6892 | 0.8559 | 0.8053 | [M:[1.0233, 1.1111, 0.9767, 0.7545, 0.7133, 0.9767], q:[0.7778, 0.4211], qb:[0.5556, 0.4678], phi:[0.4444]] | t^2.14 + t^2.263 + t^2.667 + 2*t^2.93 + t^3.333 + t^3.597 + 2*t^4. + t^4.14 + t^4.263 + t^4.28 + 2*t^4.403 + t^4.527 + t^4.667 + t^4.807 + t^4.93 + 2*t^5.07 + 2*t^5.193 + t^5.333 + t^5.473 + 2*t^5.597 + 3*t^5.86 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 1125 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}X_{1}$ | 0.5463 | 0.6713 | 0.8138 | [X:[1.4444], M:[1.2222, 1.1111, 0.7778, 0.5556, 1.1111], q:[0.7778, 0.2222], qb:[0.5556, 0.6667], phi:[0.4444]] | t^2.333 + t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + 2*t^4. + t^4.333 + t^4.667 + t^5. + 3*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 59/108, c: 145/216, X1: 13/9, M1: 11/9, M2: 10/9, M3: 7/9, M4: 5/9, M5: 10/9, q1: 7/9, q2: 2/9, qb1: 5/9, qb2: 2/3, phi1: 4/9} |
| 1126 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6777 | 0.8369 | 0.8098 | [M:[1.0082, 1.1111, 0.9918, 0.7695, 0.6831, 1.1111], q:[0.7778, 0.4362], qb:[0.5556, 0.4527], phi:[0.4444]] | t^2.049 + t^2.309 + t^2.975 + t^3.025 + 2*t^3.333 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + t^5.025 + t^5.074 + t^5.284 + t^5.333 + 2*t^5.383 + t^5.642 + t^5.951 - 2*t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 420 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.667 | 0.8136 | 0.8198 | [M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.296 + t^2.667 + t^2.962 + t^3.038 + t^3.333 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + t^4.962 + t^5.258 + 2*t^5.333 + t^5.629 + t^5.924 - t^6. - t^4.333/y - t^4.333*y | detail |