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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[-30], [22], [4], [-12], [12], [48], [-12]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 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^6.15 + t^6.246 + 2*t^6.294 + 3*t^6.342 + 2*t^6.39 + t^6.438 + t^6.54 + 3*t^6.587 + t^6.635 + 3*t^6.683 + t^6.731 + 2*t^6.929 + 3*t^6.977 + 5*t^7.025 + t^7.073 - t^7.121 + t^7.271 + 3*t^7.319 + 4*t^7.367 + t^7.415 + 3*t^7.463 + t^7.66 + 5*t^7.708 + 3*t^7.756 + 2*t^7.804 + 2*t^7.954 + 3*t^8.098 + 3*t^8.146 + t^8.194 + t^8.2 + t^8.296 + 2*t^8.344 + 4*t^8.392 - 2*t^8.44 - 3*t^8.488 - t^8.535 + t^8.59 + 3*t^8.637 + t^8.685 + 5*t^8.733 + 2*t^8.781 + t^8.829 + 3*t^8.877 + t^8.925 + 2*t^8.979 - t^4.415/y - t^6.465/y - t^6.854/y - t^6.902/y + t^7.196/y + t^7.49/y + (2*t^7.537)/y - t^7.633/y + t^7.879/y + (3*t^7.927)/y + (2*t^7.975)/y + t^8.221/y + (2*t^8.269)/y + (2*t^8.317)/y + t^8.365/y - t^8.515/y + t^8.61/y + (3*t^8.658)/y + (2*t^8.706)/y + t^8.904/y - t^4.415*y - t^6.465*y - t^6.854*y - t^6.902*y + t^7.196*y + t^7.49*y + 2*t^7.537*y - t^7.633*y + t^7.879*y + 3*t^7.927*y + 2*t^7.975*y + t^8.221*y + 2*t^8.269*y + 2*t^8.317*y + t^8.365*y - t^8.515*y + t^8.61*y + 3*t^8.658*y + 2*t^8.706*y + t^8.904*y | g1^48*t^2.05 + g1^22*t^2.44 + (2*t^2.488)/g1^12 + t^2.829/g1^4 + g1^4*t^3.171 + t^3.219/g1^30 + 2*g1^20*t^3.854 + t^3.902/g1^14 + g1^96*t^4.1 + g1^28*t^4.196 + t^4.244/g1^6 + g1^70*t^4.49 + 3*g1^36*t^4.537 + 2*g1^44*t^4.879 + 2*g1^10*t^4.927 + (3*t^4.975)/g1^24 + g1^52*t^5.221 + 2*g1^18*t^5.269 + (2*t^5.317)/g1^16 + g1^26*t^5.61 + (3*t^5.658)/g1^8 + t^5.706/g1^42 + 2*g1^68*t^5.904 - 2*t^6. + g1^144*t^6.15 + g1^76*t^6.246 + 2*g1^42*t^6.294 + 3*g1^8*t^6.342 + (2*t^6.39)/g1^26 + t^6.438/g1^60 + g1^118*t^6.54 + 3*g1^84*t^6.587 + g1^50*t^6.635 + 3*g1^16*t^6.683 + t^6.731/g1^18 + 2*g1^92*t^6.929 + 3*g1^58*t^6.977 + 5*g1^24*t^7.025 + t^7.073/g1^10 - t^7.121/g1^44 + g1^100*t^7.271 + 3*g1^66*t^7.319 + 4*g1^32*t^7.367 + t^7.415/g1^2 + (3*t^7.463)/g1^36 + g1^74*t^7.66 + 5*g1^40*t^7.708 + 3*g1^6*t^7.756 + (2*t^7.804)/g1^28 + 2*g1^116*t^7.954 + 3*g1^14*t^8.098 + (3*t^8.146)/g1^20 + t^8.194/g1^54 + g1^192*t^8.2 + g1^124*t^8.296 + 2*g1^90*t^8.344 + 4*g1^56*t^8.392 - 2*g1^22*t^8.44 - (3*t^8.488)/g1^12 - t^8.535/g1^46 + g1^166*t^8.59 + 3*g1^132*t^8.637 + g1^98*t^8.685 + 5*g1^64*t^8.733 + 2*g1^30*t^8.781 + t^8.829/g1^4 + (3*t^8.877)/g1^38 + t^8.925/g1^72 + 2*g1^140*t^8.979 - t^4.415/(g1^2*y) - (g1^46*t^6.465)/y - (g1^20*t^6.854)/y - t^6.902/(g1^14*y) + (g1^28*t^7.196)/y + (g1^70*t^7.49)/y + (2*g1^36*t^7.537)/y - t^7.633/(g1^32*y) + (g1^44*t^7.879)/y + (3*g1^10*t^7.927)/y + (2*t^7.975)/(g1^24*y) + (g1^52*t^8.221)/y + (2*g1^18*t^8.269)/y + (2*t^8.317)/(g1^16*y) + t^8.365/(g1^50*y) - (g1^94*t^8.515)/y + (g1^26*t^8.61)/y + (3*t^8.658)/(g1^8*y) + (2*t^8.706)/(g1^42*y) + (g1^68*t^8.904)/y - (t^4.415*y)/g1^2 - g1^46*t^6.465*y - g1^20*t^6.854*y - (t^6.902*y)/g1^14 + g1^28*t^7.196*y + g1^70*t^7.49*y + 2*g1^36*t^7.537*y - (t^7.633*y)/g1^32 + g1^44*t^7.879*y + 3*g1^10*t^7.927*y + (2*t^7.975*y)/g1^24 + g1^52*t^8.221*y + 2*g1^18*t^8.269*y + (2*t^8.317*y)/g1^16 + (t^8.365*y)/g1^50 - g1^94*t^8.515*y + g1^26*t^8.61*y + (3*t^8.658*y)/g1^8 + (2*t^8.706*y)/g1^42 + g1^68*t^8.904*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 |
|---|---|---|---|---|---|---|---|---|
| 5039 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ | 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]] | 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^4.371/y - t^4.371*y | detail | {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} |
| 5037 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}^{2}$ | 0.6216 | 0.7857 | 0.7912 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 1.0, 0.75], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | 2*t^2.25 + t^2.625 + t^2.75 + t^2.875 + t^3. + t^3.25 + t^3.625 + t^4.125 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.875 + 2*t^5. + 2*t^5.125 + 4*t^5.25 + 3*t^5.5 + 2*t^5.625 + 2*t^5.75 + 3*t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 10185/16384, c: 12873/16384, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 1, M7: 3/4, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
| 5052 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6788 | 0.8569 | 0.7921 | [M:[1.0763, 0.8107, 1.0565, 0.8305, 1.1695, 0.6779, 0.8305, 1.0565], q:[0.5183, 0.4053], qb:[0.4252, 0.7641], phi:[0.4718]] | t^2.034 + t^2.432 + 2*t^2.492 + 2*t^3.169 + t^3.229 + 2*t^3.847 + t^3.907 + t^4.067 + t^4.186 + t^4.246 + t^4.466 + 3*t^4.525 + t^4.864 + 2*t^4.924 + 3*t^4.983 + 2*t^5.203 + t^5.263 + 2*t^5.602 + 4*t^5.661 + t^5.721 + 2*t^5.881 - 3*t^6. - t^4.415/y - t^4.415*y | detail |
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 |