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 |
|---|---|---|---|---|---|---|---|---|---|
| 2128 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.672 | 0.8244 | 0.8152 | [M:[1.0, 1.125, 0.9375, 0.875, 0.75, 1.0625], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 88083/131072, c: 108051/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 7/8, M5: 3/4, M6: 17/16, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -1 | t^2.25 + 2*t^2.625 + t^3. + t^3.188 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 3*t^4.875 + 4*t^5.25 + t^5.625 + 2*t^5.813 - t^6. + 2*t^6.188 + 3*t^6.375 + 2*t^6.563 + 5*t^6.75 + t^6.938 + 5*t^7.125 + t^7.313 + 6*t^7.5 + t^7.688 + 6*t^7.875 + 3*t^8.063 + t^8.25 + 4*t^8.438 - t^8.625 + 2*t^8.813 - t^4.313/y - t^6.563/y - t^6.938/y + t^7.688/y + (2*t^7.875)/y + t^8.063/y + (2*t^8.25)/y + t^8.438/y + (2*t^8.625)/y + (2*t^8.813)/y - t^4.313*y - t^6.563*y - t^6.938*y + t^7.688*y + 2*t^7.875*y + t^8.063*y + 2*t^8.25*y + t^8.438*y + 2*t^8.625*y + 2*t^8.813*y | t^2.25 + 2*t^2.625 + t^3. + t^3.188 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 3*t^4.875 + 4*t^5.25 + t^5.625 + 2*t^5.813 - t^6. + 2*t^6.188 + 3*t^6.375 + 2*t^6.563 + 5*t^6.75 + t^6.938 + 5*t^7.125 + t^7.313 + 6*t^7.5 + t^7.688 + 6*t^7.875 + 3*t^8.063 + t^8.25 + 4*t^8.438 - t^8.625 + 2*t^8.813 - t^4.313/y - t^6.563/y - t^6.938/y + t^7.688/y + (2*t^7.875)/y + t^8.063/y + (2*t^8.25)/y + t^8.438/y + (2*t^8.625)/y + (2*t^8.813)/y - t^4.313*y - t^6.563*y - t^6.938*y + t^7.688*y + 2*t^7.875*y + t^8.063*y + 2*t^8.25*y + t^8.438*y + 2*t^8.625*y + 2*t^8.813*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 |
|---|---|---|---|---|---|---|---|---|
| 4106 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6877 | 0.8518 | 0.8074 | [M:[1.0, 1.125, 0.9375, 0.875, 0.75, 1.0625, 0.8125], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.25 + t^2.438 + 2*t^2.625 + t^3. + t^3.188 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + t^4.688 + 4*t^4.875 + 2*t^5.063 + 4*t^5.25 + t^5.438 + 2*t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 2817/4096, c: 3489/4096, M1: 1, M2: 9/8, M3: 15/16, M4: 7/8, M5: 3/4, M6: 17/16, M7: 13/16, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 4107 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6911 | 0.859 | 0.8045 | [M:[1.0, 1.125, 0.9375, 0.875, 0.75, 1.0625, 0.75], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | 2*t^2.25 + 2*t^2.625 + t^3. + t^3.188 + t^3.563 + t^3.938 + 2*t^4.125 + t^4.313 + 4*t^4.5 + 5*t^4.875 + 5*t^5.25 + t^5.438 + t^5.625 + 3*t^5.813 - 2*t^6. - t^4.313/y - t^4.313*y | detail | {a: 90579/131072, c: 112595/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 7/8, M5: 3/4, M6: 17/16, M7: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1100 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6778 | 0.8341 | 0.8127 | [M:[1.0, 1.125, 0.9375, 0.875, 0.75], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.25 + 2*t^2.625 + t^2.813 + t^3. + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 3*t^4.875 + t^5.063 + 4*t^5.25 + t^5.438 + 2*t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 44421/65536, c: 54661/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 7/8, M5: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |