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 |
|---|---|---|---|---|---|---|---|---|---|
| 3588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5487 | 0.6855 | 0.8005 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 71925/131072, c: 89845/131072, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 1, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.063 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + 2*t^4.688 + t^4.875 + t^5.063 + 2*t^5.25 + t^5.438 + 2*t^5.625 + 2*t^5.813 + t^6. + 2*t^6.188 + 2*t^6.375 + 2*t^6.563 + 2*t^6.75 + 2*t^6.938 + 2*t^7.125 + 2*t^7.313 + 2*t^7.5 + 2*t^7.688 + 3*t^7.875 + 2*t^8.25 + 2*t^8.438 + t^8.625 + t^8.813 - t^4.313/y - t^6.938/y + (2*t^7.688)/y + t^7.875/y + t^8.063/y + t^8.25/y + (2*t^8.438)/y + (2*t^8.625)/y + (3*t^8.813)/y - t^4.313*y - t^6.938*y + 2*t^7.688*y + t^7.875*y + t^8.063*y + t^8.25*y + 2*t^8.438*y + 2*t^8.625*y + 3*t^8.813*y | t^2.063 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + 2*t^4.688 + t^4.875 + t^5.063 + 2*t^5.25 + t^5.438 + 2*t^5.625 + 2*t^5.813 + t^6. + 2*t^6.188 + 2*t^6.375 + 2*t^6.563 + 2*t^6.75 + 2*t^6.938 + 2*t^7.125 + 2*t^7.313 + 2*t^7.5 + 2*t^7.688 + 3*t^7.875 + 2*t^8.25 + 2*t^8.438 + t^8.625 + t^8.813 - t^4.313/y - t^6.938/y + (2*t^7.688)/y + t^7.875/y + t^8.063/y + t^8.25/y + (2*t^8.438)/y + (2*t^8.625)/y + (3*t^8.813)/y - t^4.313*y - t^6.938*y + 2*t^7.688*y + t^7.875*y + t^8.063*y + t^8.25*y + 2*t^8.438*y + 2*t^8.625*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 5248 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}M_{7}$ | 0.5545 | 0.6952 | 0.7977 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0, 0.9375], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]] | t^2.063 + t^2.625 + 2*t^2.813 + t^3. + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + 2*t^4.688 + 2*t^4.875 + t^5.063 + t^5.25 + 2*t^5.438 + 4*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 18171/32768, c: 22779/32768, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 1, M7: 15/16, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16} |
| 5250 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5599 | 0.7044 | 0.7948 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0, 0.875], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]] | t^2.063 + 2*t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + 3*t^4.688 + t^4.875 + t^5.063 + 4*t^5.25 + t^5.438 + 3*t^5.625 + 3*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 73389/131072, c: 92333/131072, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 1, M7: 7/8, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16} |
| 5252 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5678 | 0.7201 | 0.7884 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0, 0.75], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]] | t^2.063 + t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + 2*t^4.688 + 2*t^4.875 + 2*t^5.063 + 3*t^5.25 + 2*t^5.438 + 3*t^5.625 + 2*t^5.813 + t^6. - t^4.313/y - t^4.313*y | detail | {a: 74421/131072, c: 94389/131072, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 1, M7: 3/4, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.58 | 0.7267 | 0.7981 | [X:[1.577], M:[0.423, 1.2689, 0.7311, 0.9607, 1.0393, 0.7673], q:[0.9426, 0.6344], qb:[0.3263, 0.4049], phi:[0.423]] | t^2.193 + t^2.302 + t^2.538 + t^2.882 + t^3.118 + t^3.226 + t^3.462 + t^3.807 + t^4.042 + t^4.387 + t^4.495 + t^4.604 + 2*t^4.731 + t^4.84 + 2*t^5.075 + t^5.184 + t^5.311 + 2*t^5.42 + t^5.528 + t^5.656 + 2*t^5.764 - t^4.269/y - t^4.269*y | detail |