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 |
|---|---|---|---|---|---|---|---|---|---|
| 1500 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6933 | 0.8493 | 0.8163 | [M:[0.9843, 1.0, 1.0157, 0.9687, 1.0313, 0.9843], q:[0.5157, 0.5], qb:[0.4687, 0.5313], phi:[0.4961]] | [M:[[-4], [0], [4], [-8], [8], [-4]], q:[[4], [0]], qb:[[-8], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.906 + 2*t^2.953 + t^2.976 + t^3. + t^3.094 + t^3.141 + t^4.3 + t^4.394 + t^4.441 + 2*t^4.488 + t^4.535 + 2*t^4.582 + t^4.629 + t^4.676 + t^5.859 + t^5.882 + 2*t^5.906 + 2*t^5.929 + t^5.953 + t^5.976 - 2*t^6. + t^6.071 + t^6.094 + t^6.118 + t^6.235 + t^6.282 + t^7.206 + 2*t^7.253 + t^7.277 + t^7.3 - t^7.324 + t^7.347 + t^7.371 + 3*t^7.394 + 3*t^7.441 + t^7.465 + 2*t^7.488 - t^7.512 + 3*t^7.535 + t^7.559 + 4*t^7.582 - t^7.606 + 3*t^7.629 + 2*t^7.676 - t^7.7 + 2*t^7.723 + 2*t^7.77 + t^7.817 + t^8.6 + t^8.694 + t^8.741 - t^8.765 + 2*t^8.788 + 2*t^8.835 + 2*t^8.859 + 5*t^8.882 - t^8.906 + 3*t^8.929 - 6*t^8.953 + 2*t^8.976 - t^4.488/y - t^7.441/y - t^7.465/y + t^7.512/y + t^7.535/y + (2*t^8.859)/y + t^8.882/y + (2*t^8.906)/y + (2*t^8.929)/y + (2*t^8.953)/y + t^8.976/y - t^4.488*y - t^7.441*y - t^7.465*y + t^7.512*y + t^7.535*y + 2*t^8.859*y + t^8.882*y + 2*t^8.906*y + 2*t^8.929*y + 2*t^8.953*y + t^8.976*y | t^2.906/g1^8 + (2*t^2.953)/g1^4 + t^2.976/g1^2 + t^3. + g1^8*t^3.094 + g1^12*t^3.141 + t^4.3/g1^17 + t^4.394/g1^9 + t^4.441/g1^5 + (2*t^4.488)/g1 + g1^3*t^4.535 + 2*g1^7*t^4.582 + g1^11*t^4.629 + g1^15*t^4.676 + t^5.859/g1^12 + t^5.882/g1^10 + (2*t^5.906)/g1^8 + (2*t^5.929)/g1^6 + t^5.953/g1^4 + t^5.976/g1^2 - 2*t^6. + g1^6*t^6.071 + g1^8*t^6.094 + g1^10*t^6.118 + g1^20*t^6.235 + g1^24*t^6.282 + t^7.206/g1^25 + (2*t^7.253)/g1^21 + t^7.277/g1^19 + t^7.3/g1^17 - t^7.324/g1^15 + t^7.347/g1^13 + t^7.371/g1^11 + (3*t^7.394)/g1^9 + (3*t^7.441)/g1^5 + t^7.465/g1^3 + (2*t^7.488)/g1 - g1*t^7.512 + 3*g1^3*t^7.535 + g1^5*t^7.559 + 4*g1^7*t^7.582 - g1^9*t^7.606 + 3*g1^11*t^7.629 + 2*g1^15*t^7.676 - g1^17*t^7.7 + 2*g1^19*t^7.723 + 2*g1^23*t^7.77 + g1^27*t^7.817 + t^8.6/g1^34 + t^8.694/g1^26 + t^8.741/g1^22 - t^8.765/g1^20 + (2*t^8.788)/g1^18 + (2*t^8.835)/g1^14 + (2*t^8.859)/g1^12 + (5*t^8.882)/g1^10 - t^8.906/g1^8 + (3*t^8.929)/g1^6 - (6*t^8.953)/g1^4 + (2*t^8.976)/g1^2 - t^4.488/(g1*y) - t^7.441/(g1^5*y) - t^7.465/(g1^3*y) + (g1*t^7.512)/y + (g1^3*t^7.535)/y + (2*t^8.859)/(g1^12*y) + t^8.882/(g1^10*y) + (2*t^8.906)/(g1^8*y) + (2*t^8.929)/(g1^6*y) + (2*t^8.953)/(g1^4*y) + t^8.976/(g1^2*y) - (t^4.488*y)/g1 - (t^7.441*y)/g1^5 - (t^7.465*y)/g1^3 + g1*t^7.512*y + g1^3*t^7.535*y + (2*t^8.859*y)/g1^12 + (t^8.882*y)/g1^10 + (2*t^8.906*y)/g1^8 + (2*t^8.929*y)/g1^6 + (2*t^8.953*y)/g1^4 + (t^8.976*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2596 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6973 | 0.8566 | 0.8141 | [M:[0.9724, 1.0, 1.0276, 0.9448, 1.0552, 0.9724, 0.9448], q:[0.5276, 0.5], qb:[0.4448, 0.5552], phi:[0.4931]] | 2*t^2.835 + 2*t^2.917 + t^2.959 + t^3. + t^3.248 + t^4.148 + t^4.314 + t^4.397 + 2*t^4.479 + t^4.562 + 2*t^4.645 + t^4.728 + t^4.81 + 2*t^5.669 + 3*t^5.752 + 2*t^5.793 + 3*t^5.835 + 2*t^5.876 + t^5.917 + t^5.959 - 3*t^6. - t^4.479/y - t^4.479*y | detail | |
| 2598 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5877 | 0.7418 | 0.7922 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667, 0.8667], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.8 + 2*t^5. + 4*t^5.2 + 4*t^5.4 + 4*t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1763/3000, c: 4451/6000, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, M6: 13/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 966 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6921 | 0.8476 | 0.8165 | [M:[0.9904, 1.0, 1.0096, 0.9809, 1.0191], q:[0.5096, 0.5], qb:[0.4809, 0.5191], phi:[0.4976]] | t^2.943 + t^2.971 + t^2.986 + t^3. + t^3.029 + t^3.057 + t^3.086 + t^4.378 + t^4.436 + t^4.464 + 2*t^4.493 + t^4.521 + 2*t^4.55 + t^4.579 + t^4.607 + t^5.928 + t^5.957 + t^5.971 + t^5.986 - t^6. - t^4.493/y - t^4.493*y | detail |