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 |
|---|---|---|---|---|---|---|---|---|---|
| 3176 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.5913 | 0.7377 | 0.8015 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 202809/343000, c: 126517/171500, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | 0 | t^2.229 + t^2.571 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + t^4.971 + 2*t^5.143 + 2*t^5.314 + 2*t^5.486 + 2*t^5.657 + 3*t^5.829 + t^6.171 + 2*t^6.343 + 2*t^6.514 + t^6.686 + 2*t^6.857 + 3*t^7.029 + 2*t^7.2 + 2*t^7.371 + 2*t^7.543 + 2*t^7.714 + 3*t^7.886 + 5*t^8.057 + 2*t^8.229 + 3*t^8.4 + 3*t^8.571 + t^8.743 - t^8.914 - t^4.371/y - t^6.943/y + (2*t^7.8)/y + t^7.971/y + t^8.143/y + (2*t^8.314)/y + (2*t^8.486)/y + (2*t^8.657)/y + (3*t^8.829)/y - t^4.371*y - t^6.943*y + 2*t^7.8*y + t^7.971*y + t^8.143*y + 2*t^8.314*y + 2*t^8.486*y + 2*t^8.657*y + 3*t^8.829*y | t^2.229 + t^2.571 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + t^4.971 + 2*t^5.143 + 2*t^5.314 + 2*t^5.486 + 2*t^5.657 + 3*t^5.829 + t^6.171 + 2*t^6.343 + 2*t^6.514 + t^6.686 + 2*t^6.857 + 3*t^7.029 + 2*t^7.2 + 2*t^7.371 + 2*t^7.543 + 2*t^7.714 + 3*t^7.886 + 5*t^8.057 + 2*t^8.229 + 3*t^8.4 + 3*t^8.571 + t^8.743 - t^8.914 - t^4.371/y - t^6.943/y + (2*t^7.8)/y + t^7.971/y + t^8.143/y + (2*t^8.314)/y + (2*t^8.486)/y + (2*t^8.657)/y + (3*t^8.829)/y - t^4.371*y - t^6.943*y + 2*t^7.8*y + t^7.971*y + t^8.143*y + 2*t^8.314*y + 2*t^8.486*y + 2*t^8.657*y + 3*t^8.829*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 |
|---|---|---|---|---|---|---|---|---|
| 5036 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{7}$ | 0.5787 | 0.7162 | 0.808 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 1.1429], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.429 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.971 + t^5.143 + t^5.314 + t^5.486 + 2*t^5.657 + 2*t^5.829 - t^4.371/y - t^4.371*y | detail | {a: 396993/686000, c: 245659/343000, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 8/7, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 5040 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ | 0.5886 | 0.7333 | 0.8027 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.571 + t^2.743 + 2*t^3.086 + t^3.257 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + t^4.971 + t^5.143 + 3*t^5.314 + t^5.486 + 2*t^5.657 + 3*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 80757/137200, c: 50301/68600, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 5041 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{7}$ | 0.594 | 0.7422 | 0.8003 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 0.9714], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.571 + t^2.743 + 2*t^2.914 + t^3.257 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + t^4.971 + 3*t^5.143 + t^5.314 + 3*t^5.486 + 2*t^5.657 + 4*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 407451/686000, c: 254563/343000, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 34/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 5042 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6078 | 0.7667 | 0.7927 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 0.8], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.4 + t^2.571 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.629 + 2*t^4.8 + 2*t^4.971 + 3*t^5.143 + 3*t^5.314 + 3*t^5.486 + 3*t^5.657 + 2*t^5.829 - t^4.371/y - t^4.371*y | detail | {a: 416937/686000, c: 262981/343000, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 4/5, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 5038 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5834 | 0.7245 | 0.8053 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 1.0857], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.571 + t^2.914 + t^3.086 + 2*t^3.257 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + 2*t^5.143 + t^5.314 + 2*t^5.486 + t^5.657 + 3*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 400227/686000, c: 248501/343000, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 38/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2101 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6696 | 0.8411 | 0.796 | [M:[1.0808, 0.8074, 1.0559, 0.8323, 1.1677, 0.6707], q:[0.5155, 0.4037], qb:[0.4286, 0.764], phi:[0.4721]] | t^2.012 + t^2.422 + t^2.497 + t^2.832 + t^3.168 + t^3.242 + t^3.503 + 2*t^3.838 + t^3.913 + t^4.024 + t^4.174 + t^4.248 + t^4.434 + 2*t^4.509 + 2*t^4.845 + t^4.919 + t^4.994 + t^5.18 + 2*t^5.255 + t^5.329 + t^5.515 + t^5.59 + 2*t^5.665 + 2*t^5.851 + t^5.925 - t^6. - t^4.416/y - t^4.416*y | detail |