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 |
|---|---|---|---|---|---|---|---|---|---|
| 1613 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ | 0.6249 | 0.7697 | 0.812 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 68583/109744, c: 84467/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}$ | 0 | t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^5.053 + t^5.368 + t^5.526 + 2*t^5.842 + 2*t^6.158 + t^6.316 + 3*t^6.474 + t^6.632 + 3*t^6.789 + 2*t^6.947 + 4*t^7.105 + 2*t^7.263 + 3*t^7.421 + 3*t^7.579 + 2*t^7.737 + 3*t^7.895 + t^8.053 + 4*t^8.211 - t^8.368 + 3*t^8.526 - t^8.684 + 3*t^8.842 - t^4.421/y + t^8.053/y + t^8.368/y + t^8.526/y + (2*t^8.684)/y + (2*t^8.842)/y - t^4.421*y + t^8.053*y + t^8.368*y + t^8.526*y + 2*t^8.684*y + 2*t^8.842*y | t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^5.053 + t^5.368 + t^5.526 + 2*t^5.842 + 2*t^6.158 + t^6.316 + 3*t^6.474 + t^6.632 + 3*t^6.789 + 2*t^6.947 + 4*t^7.105 + 2*t^7.263 + 3*t^7.421 + 3*t^7.579 + 2*t^7.737 + 3*t^7.895 + t^8.053 + 4*t^8.211 - t^8.368 + 3*t^8.526 - t^8.684 + 3*t^8.842 - t^4.421/y + t^8.053/y + t^8.368/y + t^8.526/y + (2*t^8.684)/y + (2*t^8.842)/y - t^4.421*y + t^8.053*y + t^8.368*y + t^8.526*y + 2*t^8.684*y + 2*t^8.842*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 |
|---|---|---|---|---|---|---|---|---|
| 3999 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}M_{7}$ | 0.642 | 0.7999 | 0.8026 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.7895], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | 2*t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 4*t^4.737 + 2*t^5.053 + 2*t^5.368 + 2*t^5.526 + t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 70461/109744, c: 87789/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 15/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 3995 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6345 | 0.7858 | 0.8074 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.8947], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.368 + 2*t^2.684 + t^3. + t^3.158 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + 2*t^5.053 + 3*t^5.368 + t^5.526 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 34815/54872, c: 21559/27436, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 17/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 3996 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6154 | 0.7536 | 0.8167 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 1.1053], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.368 + t^3. + t^3.158 + 2*t^3.316 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^5.526 + t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 4221/6859, c: 41349/54872, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 21/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 4000 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6445 | 0.8057 | 0.7999 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.7368], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.211 + t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.632 + t^3.947 + 2*t^4.105 + 2*t^4.421 + t^4.579 + 2*t^4.737 + t^4.895 + t^5.053 + t^5.211 + 2*t^5.368 + 2*t^5.526 + t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 8841/13718, c: 88417/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 14/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 3998 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6386 | 0.7932 | 0.8051 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.8421], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.368 + t^2.526 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^4.895 + 2*t^5.053 + t^5.211 + t^5.368 + 2*t^5.526 + t^5.684 + 2*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 35043/54872, c: 87053/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 16/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*y | detail |