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 |
|---|---|---|---|---|---|---|---|---|---|
| 5039 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ | 0.6106 | 0.7731 | 0.7898 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 0.7429], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3351/5488, c: 10607/13720, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 26/35, 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.229 + t^2.571 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.6 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.8 + 2*t^4.971 + 3*t^5.143 + 3*t^5.314 + 3*t^5.486 + 2*t^5.657 + 4*t^5.829 - t^6. + t^6.171 + 2*t^6.343 + 3*t^6.514 + 3*t^6.686 + t^6.857 + 4*t^7.029 + 4*t^7.2 + 4*t^7.371 + 4*t^7.543 + 5*t^7.714 + 4*t^7.886 + 7*t^8.057 + 4*t^8.4 + 4*t^8.571 + 3*t^8.743 - t^4.371/y - t^6.6/y - t^6.943/y + t^7.457/y + (3*t^7.8)/y + (2*t^7.971)/y + (3*t^8.143)/y + (3*t^8.314)/y + (3*t^8.486)/y + (2*t^8.657)/y + (3*t^8.829)/y - t^4.371*y - t^6.6*y - t^6.943*y + t^7.457*y + 3*t^7.8*y + 2*t^7.971*y + 3*t^8.143*y + 3*t^8.314*y + 3*t^8.486*y + 2*t^8.657*y + 3*t^8.829*y | 2*t^2.229 + t^2.571 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.6 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.8 + 2*t^4.971 + 3*t^5.143 + 3*t^5.314 + 3*t^5.486 + 2*t^5.657 + 4*t^5.829 - t^6. + t^6.171 + 2*t^6.343 + 3*t^6.514 + 3*t^6.686 + t^6.857 + 4*t^7.029 + 4*t^7.2 + 4*t^7.371 + 4*t^7.543 + 5*t^7.714 + 4*t^7.886 + 7*t^8.057 + 4*t^8.4 + 4*t^8.571 + 3*t^8.743 - t^4.371/y - t^6.6/y - t^6.943/y + t^7.457/y + (3*t^7.8)/y + (2*t^7.971)/y + (3*t^8.143)/y + (3*t^8.314)/y + (3*t^8.486)/y + (2*t^8.657)/y + (3*t^8.829)/y - t^4.371*y - t^6.6*y - t^6.943*y + t^7.457*y + 3*t^7.8*y + 2*t^7.971*y + 3*t^8.143*y + 3*t^8.314*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 6619 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{8}$ | 0.598 | 0.7516 | 0.7957 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 0.7429, 1.1429], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | 2*t^2.229 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.429 + t^3.6 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.971 + 2*t^5.143 + 2*t^5.314 + 2*t^5.486 + 3*t^5.657 + 3*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 1641/2744, c: 1289/1715, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 26/35, M8: 8/7, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 6620 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{8}$ | 0.6079 | 0.7686 | 0.7909 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 0.7429, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | 2*t^2.229 + t^2.571 + t^2.743 + 2*t^3.086 + t^3.257 + t^3.6 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.8 + 2*t^4.971 + t^5.143 + 5*t^5.314 + 2*t^5.486 + 2*t^5.657 + 4*t^5.829 - 2*t^6. - t^4.371/y - t^4.371*y | detail | {a: 208521/343000, c: 131823/171500, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 26/35, M8: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 6623 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{8}$ | 0.6133 | 0.7776 | 0.7887 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 1.0286, 0.7429, 0.9714], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | 2*t^2.229 + t^2.571 + t^2.743 + 2*t^2.914 + t^3.257 + t^3.6 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.8 + 2*t^4.971 + 5*t^5.143 + t^5.314 + 4*t^5.486 + 2*t^5.657 + 5*t^5.829 - 2*t^6. - t^4.371/y - t^4.371*y | detail | {a: 105177/171500, c: 33338/42875, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 36/35, M7: 26/35, M8: 34/35, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3179 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6841 | 0.8654 | 0.7904 | [M:[1.0729, 0.8132, 1.0569, 0.8292, 1.1708, 0.6833, 0.8292], q:[0.5205, 0.4066], qb:[0.4226, 0.7642], phi:[0.4715]] | t^2.05 + t^2.44 + 2*t^2.488 + t^2.829 + t^3.171 + t^3.219 + 2*t^3.854 + t^3.902 + t^4.1 + t^4.196 + t^4.244 + t^4.49 + 3*t^4.537 + 2*t^4.879 + 2*t^4.927 + 3*t^4.975 + t^5.221 + 2*t^5.269 + 2*t^5.317 + t^5.61 + 3*t^5.658 + t^5.706 + 2*t^5.904 - 2*t^6. - t^4.415/y - t^4.415*y | detail |