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 |
|---|---|---|---|---|---|---|---|---|---|
| 3976 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.592 | 0.7209 | 0.8212 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 77589/131072, c: 94485/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$ | ${}$ | 0 | t^2.438 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.25 + t^5.438 + t^5.625 + t^5.813 + 2*t^6.188 + t^6.375 + t^6.563 + 2*t^6.75 + 2*t^6.938 + 3*t^7.125 + 2*t^7.313 + 2*t^7.5 + 2*t^7.688 + 2*t^7.875 + 2*t^8.063 + 2*t^8.25 + t^8.438 + t^8.625 - t^4.313/y + t^8.25/y + t^8.438/y + t^8.625/y + (2*t^8.813)/y - t^4.313*y + t^8.25*y + t^8.438*y + t^8.625*y + 2*t^8.813*y | t^2.438 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.25 + t^5.438 + t^5.625 + t^5.813 + 2*t^6.188 + t^6.375 + t^6.563 + 2*t^6.75 + 2*t^6.938 + 3*t^7.125 + 2*t^7.313 + 2*t^7.5 + 2*t^7.688 + 2*t^7.875 + 2*t^8.063 + 2*t^8.25 + t^8.438 + t^8.625 - t^4.313/y + t^8.25/y + t^8.438/y + t^8.625/y + (2*t^8.813)/y - t^4.313*y + t^8.25*y + t^8.438*y + 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 |
|---|---|---|---|---|---|---|---|---|
| 5510 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}M_{8}$ | 0.6077 | 0.7483 | 0.8121 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.8125], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | 2*t^2.438 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + 3*t^4.875 + 2*t^5.25 + 2*t^5.438 + 2*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 39825/65536, c: 49041/65536, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 13/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5509 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{2}M_{8}$ | 0.6031 | 0.7398 | 0.8152 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.875], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + 2*t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 79053/131072, c: 96973/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 7/8, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5508 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{3}M_{8}$ | 0.5977 | 0.7306 | 0.8182 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.9375], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.438 + 2*t^2.813 + t^3. + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + 2*t^5.25 + t^5.438 + 2*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 19587/32768, c: 23939/32768, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 15/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5507 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}M_{8}$ | 0.5862 | 0.7112 | 0.8242 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 1.0625], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.438 + t^3. + 2*t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.438 + t^5.625 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 38415/65536, c: 46607/65536, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 17/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5511 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.611 | 0.7555 | 0.8087 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.75], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.25 + t^2.438 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.938 + t^4.125 + t^4.313 + 2*t^4.5 + t^4.688 + t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + 2*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 80085/131072, c: 99029/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 3/4, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5512 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{8}X_{1}$ | 0.6127 | 0.7611 | 0.805 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.6875], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.063 + t^2.438 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + 2*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 5019/8192, c: 6235/8192, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 11/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.277 + t^2.496 + t^2.935 + t^3.065 + t^3.285 + t^3.504 + t^3.634 + t^3.854 + t^3.984 + t^4.073 + t^4.293 + t^4.423 + t^4.553 + t^4.772 + t^4.862 + t^4.992 + t^5.211 + t^5.342 + t^5.561 + 2*t^5.781 + t^5.911 - t^6. - t^4.358/y - t^4.358*y | detail |