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 |
|---|---|---|---|---|---|---|---|---|---|
| 4737 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7046 | 0.905 | 0.7785 | [M:[1.0751, 0.8116, 1.0566, 0.8301, 1.1699, 0.6983, 0.8301, 0.6798], q:[0.5191, 0.4058], qb:[0.4243, 0.7642], phi:[0.4717]] | [M:[[-30], [22], [4], [-12], [12], [14], [-12], [48]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.039 + t^2.095 + t^2.435 + 2*t^2.49 + t^2.83 + t^3.17 + t^3.225 + 2*t^3.85 + t^4.079 + t^4.134 + 2*t^4.19 + t^4.245 + t^4.474 + 4*t^4.529 + 2*t^4.585 + 2*t^4.869 + 3*t^4.925 + 3*t^4.98 + t^5.209 + 3*t^5.265 + 3*t^5.32 + t^5.605 + 3*t^5.66 + t^5.716 + 2*t^5.889 + t^5.944 - 2*t^6. + t^6.118 + t^6.173 + 2*t^6.229 + 4*t^6.284 + 3*t^6.34 + t^6.451 + t^6.513 + 4*t^6.569 + 5*t^6.624 + 5*t^6.68 + 2*t^6.909 + 5*t^6.964 + 8*t^7.02 + 3*t^7.075 - 2*t^7.131 + t^7.249 + 4*t^7.304 + 7*t^7.36 + 4*t^7.415 + 3*t^7.471 + t^7.644 + 6*t^7.699 + 4*t^7.755 + 2*t^7.81 + 2*t^7.928 + t^7.984 + t^8.039 + 2*t^8.15 + t^8.157 + t^8.206 + t^8.213 + 2*t^8.268 + 4*t^8.324 + 7*t^8.379 - 2*t^8.435 - 3*t^8.49 + t^8.553 + 4*t^8.608 + 5*t^8.664 + 10*t^8.719 + 5*t^8.775 - t^8.83 + t^8.941 + 2*t^8.948 - t^4.415/y - t^6.454/y - t^6.51/y - t^6.85/y - t^6.905/y + t^7.134/y + t^7.19/y + t^7.474/y + (3*t^7.529)/y + (2*t^7.585)/y - t^7.64/y + t^7.869/y + (4*t^7.925)/y + (2*t^7.98)/y + t^8.209/y + (3*t^8.265)/y + (4*t^8.32)/y + t^8.376/y - t^8.494/y - t^8.549/y + (3*t^8.66)/y + (2*t^8.716)/y + t^8.889/y - t^4.415*y - t^6.454*y - t^6.51*y - t^6.85*y - t^6.905*y + t^7.134*y + t^7.19*y + t^7.474*y + 3*t^7.529*y + 2*t^7.585*y - t^7.64*y + t^7.869*y + 4*t^7.925*y + 2*t^7.98*y + t^8.209*y + 3*t^8.265*y + 4*t^8.32*y + t^8.376*y - t^8.494*y - t^8.549*y + 3*t^8.66*y + 2*t^8.716*y + t^8.889*y | g1^48*t^2.039 + g1^14*t^2.095 + g1^22*t^2.435 + (2*t^2.49)/g1^12 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.225/g1^30 + 2*g1^20*t^3.85 + g1^96*t^4.079 + g1^62*t^4.134 + 2*g1^28*t^4.19 + t^4.245/g1^6 + g1^70*t^4.474 + 4*g1^36*t^4.529 + 2*g1^2*t^4.585 + 2*g1^44*t^4.869 + 3*g1^10*t^4.925 + (3*t^4.98)/g1^24 + g1^52*t^5.209 + 3*g1^18*t^5.265 + (3*t^5.32)/g1^16 + g1^26*t^5.605 + (3*t^5.66)/g1^8 + t^5.716/g1^42 + 2*g1^68*t^5.889 + g1^34*t^5.944 - 2*t^6. + g1^144*t^6.118 + g1^110*t^6.173 + 2*g1^76*t^6.229 + 4*g1^42*t^6.284 + 3*g1^8*t^6.34 + t^6.451/g1^60 + g1^118*t^6.513 + 4*g1^84*t^6.569 + 5*g1^50*t^6.624 + 5*g1^16*t^6.68 + 2*g1^92*t^6.909 + 5*g1^58*t^6.964 + 8*g1^24*t^7.02 + (3*t^7.075)/g1^10 - (2*t^7.131)/g1^44 + g1^100*t^7.249 + 4*g1^66*t^7.304 + 7*g1^32*t^7.36 + (4*t^7.415)/g1^2 + (3*t^7.471)/g1^36 + g1^74*t^7.644 + 6*g1^40*t^7.699 + 4*g1^6*t^7.755 + (2*t^7.81)/g1^28 + 2*g1^116*t^7.928 + g1^82*t^7.984 + g1^48*t^8.039 + (2*t^8.15)/g1^20 + g1^192*t^8.157 + t^8.206/g1^54 + g1^158*t^8.213 + 2*g1^124*t^8.268 + 4*g1^90*t^8.324 + 7*g1^56*t^8.379 - 2*g1^22*t^8.435 - (3*t^8.49)/g1^12 + g1^166*t^8.553 + 4*g1^132*t^8.608 + 5*g1^98*t^8.664 + 10*g1^64*t^8.719 + 5*g1^30*t^8.775 - t^8.83/g1^4 + t^8.941/g1^72 + 2*g1^140*t^8.948 - t^4.415/(g1^2*y) - (g1^46*t^6.454)/y - (g1^12*t^6.51)/y - (g1^20*t^6.85)/y - t^6.905/(g1^14*y) + (g1^62*t^7.134)/y + (g1^28*t^7.19)/y + (g1^70*t^7.474)/y + (3*g1^36*t^7.529)/y + (2*g1^2*t^7.585)/y - t^7.64/(g1^32*y) + (g1^44*t^7.869)/y + (4*g1^10*t^7.925)/y + (2*t^7.98)/(g1^24*y) + (g1^52*t^8.209)/y + (3*g1^18*t^8.265)/y + (4*t^8.32)/(g1^16*y) + t^8.376/(g1^50*y) - (g1^94*t^8.494)/y - (g1^60*t^8.549)/y + (3*t^8.66)/(g1^8*y) + (2*t^8.716)/(g1^42*y) + (g1^68*t^8.889)/y - (t^4.415*y)/g1^2 - g1^46*t^6.454*y - g1^12*t^6.51*y - g1^20*t^6.85*y - (t^6.905*y)/g1^14 + g1^62*t^7.134*y + g1^28*t^7.19*y + g1^70*t^7.474*y + 3*g1^36*t^7.529*y + 2*g1^2*t^7.585*y - (t^7.64*y)/g1^32 + g1^44*t^7.869*y + 4*g1^10*t^7.925*y + (2*t^7.98*y)/g1^24 + g1^52*t^8.209*y + 3*g1^18*t^8.265*y + (4*t^8.32*y)/g1^16 + (t^8.376*y)/g1^50 - g1^94*t^8.494*y - g1^60*t^8.549*y + (3*t^8.66*y)/g1^8 + (2*t^8.716*y)/g1^42 + g1^68*t^8.889*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 |
|---|---|---|---|---|---|---|---|---|
| 6334 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6271 | 0.8021 | 0.7818 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.8, 0.7429, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | 2*t^2.229 + t^2.4 + t^2.571 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.629 + 3*t^4.8 + 3*t^4.971 + 4*t^5.143 + 4*t^5.314 + 4*t^5.486 + 3*t^5.657 + 2*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 215097/343000, c: 137561/171500, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 4/5, M7: 26/35, M8: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 6333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.5637 | 0.7291 | 0.7732 | [M:[0.7742, 1.0323, 1.0968, 0.7097, 1.2903, 0.8387, 0.7097, 1.1613], q:[0.7097, 0.5161], qb:[0.1935, 0.7742], phi:[0.4516]] | 2*t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^3.097 + t^3.29 + t^3.484 + t^4.065 + 3*t^4.258 + 3*t^4.452 + 3*t^4.645 + 3*t^4.839 + 2*t^5.032 + 3*t^5.226 + 3*t^5.419 + 4*t^5.613 + t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 134355/238328, c: 43439/59582, M1: 24/31, M2: 32/31, M3: 34/31, M4: 22/31, M5: 40/31, M6: 26/31, M7: 22/31, M8: 36/31, q1: 22/31, q2: 16/31, qb1: 6/31, qb2: 24/31, phi1: 14/31} |
| 6332 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ | 0.6386 | 0.8157 | 0.7829 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 0.7917, 0.75, 1.0], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | 2*t^2.25 + t^2.375 + t^2.625 + t^2.75 + t^2.875 + t^3. + t^3.25 + t^4.125 + 2*t^4.25 + 3*t^4.5 + 2*t^4.625 + 2*t^4.75 + t^4.875 + 3*t^5. + 3*t^5.125 + 5*t^5.25 + t^5.375 + 3*t^5.5 + 3*t^5.625 + 2*t^5.75 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 15695/24576, c: 20047/24576, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 19/24, M7: 3/4, M8: 1, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2620 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6839 | 0.8642 | 0.7913 | [M:[1.0701, 0.8153, 1.0573, 0.828, 1.172, 0.7006, 0.828], q:[0.5223, 0.4076], qb:[0.4204, 0.7643], phi:[0.4713]] | t^2.102 + t^2.446 + 2*t^2.484 + t^2.828 + t^3.172 + t^3.21 + 2*t^3.86 + t^3.936 + 2*t^4.204 + t^4.242 + 2*t^4.548 + 2*t^4.586 + t^4.892 + 3*t^4.93 + 3*t^4.968 + 2*t^5.274 + 3*t^5.312 + t^5.618 + 3*t^5.656 + t^5.694 + t^5.962 - 2*t^6. - t^4.414/y - t^4.414*y | detail |