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 |
|---|---|---|---|---|---|---|---|---|---|
| 53870 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.7253 | 0.9243 | 0.7847 | [M:[0.6832, 1.1056, 0.973, 0.7371, 0.8157, 0.7371], q:[0.7764, 0.5404], qb:[0.4865, 0.4079], phi:[0.4472]] | [M:[[36], [-12], [22], [-8], [2], [-8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.049 + 2*t^2.211 + t^2.447 + t^2.683 + t^2.845 + t^2.919 + t^3.317 + t^4.025 + t^4.099 + t^4.187 + 3*t^4.261 + 4*t^4.422 + t^4.497 + t^4.584 + 2*t^4.658 + t^4.733 + 4*t^4.894 + t^4.969 + 2*t^5.056 + 3*t^5.13 + t^5.292 + 3*t^5.366 + 3*t^5.528 + t^5.69 + t^5.764 - 2*t^6. + t^6.074 + t^6.148 + 2*t^6.236 + 3*t^6.31 + t^6.398 + 6*t^6.472 + t^6.546 + 7*t^6.634 + 3*t^6.708 + t^6.782 + 2*t^6.795 + 4*t^6.87 + 5*t^6.944 + t^7.018 + 2*t^7.031 + 6*t^7.106 + 3*t^7.18 + 4*t^7.267 + 6*t^7.342 + 3*t^7.416 + t^7.429 + 2*t^7.503 + 6*t^7.578 + 5*t^7.739 + 2*t^7.813 + 2*t^7.901 + t^7.975 - t^8.049 + t^8.124 + t^8.198 - 4*t^8.211 + 3*t^8.285 + 3*t^8.36 - t^8.447 + 6*t^8.521 + t^8.535 + t^8.596 + t^8.609 + 7*t^8.683 + 4*t^8.757 + t^8.771 + t^8.832 + 7*t^8.845 + 2*t^8.919 + 5*t^8.993 - t^4.342/y - t^6.391/y - (2*t^6.553)/y - t^6.789/y + t^7.261/y + (2*t^7.422)/y + t^7.497/y + (2*t^7.658)/y + t^7.733/y + (4*t^7.894)/y + t^7.969/y + (2*t^8.056)/y + (5*t^8.13)/y + (2*t^8.292)/y + (2*t^8.366)/y - t^8.44/y + (3*t^8.528)/y - t^8.602/y - t^8.764/y - t^8.838/y - t^4.342*y - t^6.391*y - 2*t^6.553*y - t^6.789*y + t^7.261*y + 2*t^7.422*y + t^7.497*y + 2*t^7.658*y + t^7.733*y + 4*t^7.894*y + t^7.969*y + 2*t^8.056*y + 5*t^8.13*y + 2*t^8.292*y + 2*t^8.366*y - t^8.44*y + 3*t^8.528*y - t^8.602*y - t^8.764*y - t^8.838*y | g1^36*t^2.049 + (2*t^2.211)/g1^8 + g1^2*t^2.447 + g1^12*t^2.683 + t^2.845/g1^32 + g1^22*t^2.919 + t^3.317/g1^12 + g1^18*t^4.025 + g1^72*t^4.099 + t^4.187/g1^26 + 3*g1^28*t^4.261 + (4*t^4.422)/g1^16 + g1^38*t^4.497 + t^4.584/g1^60 + (2*t^4.658)/g1^6 + g1^48*t^4.733 + 4*g1^4*t^4.894 + g1^58*t^4.969 + (2*t^5.056)/g1^40 + 3*g1^14*t^5.13 + t^5.292/g1^30 + 3*g1^24*t^5.366 + (3*t^5.528)/g1^20 + t^5.69/g1^64 + t^5.764/g1^10 - 2*t^6. + g1^54*t^6.074 + g1^108*t^6.148 + 2*g1^10*t^6.236 + 3*g1^64*t^6.31 + t^6.398/g1^34 + 6*g1^20*t^6.472 + g1^74*t^6.546 + (7*t^6.634)/g1^24 + 3*g1^30*t^6.708 + g1^84*t^6.782 + (2*t^6.795)/g1^68 + (4*t^6.87)/g1^14 + 5*g1^40*t^6.944 + g1^94*t^7.018 + (2*t^7.031)/g1^58 + (6*t^7.106)/g1^4 + 3*g1^50*t^7.18 + (4*t^7.267)/g1^48 + 6*g1^6*t^7.342 + 3*g1^60*t^7.416 + t^7.429/g1^92 + (2*t^7.503)/g1^38 + 6*g1^16*t^7.578 + (5*t^7.739)/g1^28 + 2*g1^26*t^7.813 + (2*t^7.901)/g1^72 + t^7.975/g1^18 - g1^36*t^8.049 + g1^90*t^8.124 + g1^144*t^8.198 - (4*t^8.211)/g1^8 + 3*g1^46*t^8.285 + 3*g1^100*t^8.36 - g1^2*t^8.447 + 6*g1^56*t^8.521 + t^8.535/g1^96 + g1^110*t^8.596 + t^8.609/g1^42 + 7*g1^12*t^8.683 + 4*g1^66*t^8.757 + t^8.771/g1^86 + g1^120*t^8.832 + (7*t^8.845)/g1^32 + 2*g1^22*t^8.919 + 5*g1^76*t^8.993 - (g1^6*t^4.342)/y - (g1^42*t^6.391)/y - (2*t^6.553)/(g1^2*y) - (g1^8*t^6.789)/y + (g1^28*t^7.261)/y + (2*t^7.422)/(g1^16*y) + (g1^38*t^7.497)/y + (2*t^7.658)/(g1^6*y) + (g1^48*t^7.733)/y + (4*g1^4*t^7.894)/y + (g1^58*t^7.969)/y + (2*t^8.056)/(g1^40*y) + (5*g1^14*t^8.13)/y + (2*t^8.292)/(g1^30*y) + (2*g1^24*t^8.366)/y - (g1^78*t^8.44)/y + (3*t^8.528)/(g1^20*y) - (g1^34*t^8.602)/y - t^8.764/(g1^10*y) - (g1^44*t^8.838)/y - g1^6*t^4.342*y - g1^42*t^6.391*y - (2*t^6.553*y)/g1^2 - g1^8*t^6.789*y + g1^28*t^7.261*y + (2*t^7.422*y)/g1^16 + g1^38*t^7.497*y + (2*t^7.658*y)/g1^6 + g1^48*t^7.733*y + 4*g1^4*t^7.894*y + g1^58*t^7.969*y + (2*t^8.056*y)/g1^40 + 5*g1^14*t^8.13*y + (2*t^8.292*y)/g1^30 + 2*g1^24*t^8.366*y - g1^78*t^8.44*y + (3*t^8.528*y)/g1^20 - g1^34*t^8.602*y - (t^8.764*y)/g1^10 - g1^44*t^8.838*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 |
|---|---|---|---|---|---|---|---|---|
| 56522 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6761 | 0.8743 | 0.7732 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.069 + t^2.276 + t^2.483 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + t^3.517 + t^3.724 + 4*t^4.138 + 3*t^4.345 + 3*t^4.552 + 4*t^4.759 + 4*t^4.966 + 4*t^5.172 + 4*t^5.379 + 4*t^5.586 + 5*t^5.793 + t^6. - t^4.448/y - t^4.448*y | detail | {a: 65955/97556, c: 42649/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 56542 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.7351 | 0.941 | 0.7812 | [M:[0.67, 1.11, 0.965, 0.74, 0.815, 0.74, 0.89], q:[0.7775, 0.5525], qb:[0.4825, 0.4075], phi:[0.445]] | t^2.01 + 2*t^2.22 + t^2.445 + 2*t^2.67 + t^2.88 + t^2.895 + t^4.005 + t^4.02 + t^4.215 + 3*t^4.23 + 4*t^4.44 + t^4.455 + t^4.65 + 2*t^4.665 + 2*t^4.68 + 6*t^4.89 + t^4.905 + 2*t^5.1 + 4*t^5.115 + t^5.325 + 4*t^5.34 + 2*t^5.55 + t^5.565 + t^5.76 - 3*t^6. - t^4.335/y - t^4.335*y | detail | |
| 56538 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.7014 | 0.8772 | 0.7996 | [X:[1.375], M:[0.625, 1.125, 0.9375, 0.75, 0.8125, 0.75], q:[0.7813, 0.5938], qb:[0.4688, 0.4063], phi:[0.4375]] | 2*t^2.25 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.375 + t^3.938 + 2*t^4.125 + t^4.313 + 4*t^4.5 + 2*t^4.688 + 4*t^4.875 + 3*t^5.063 + 4*t^5.25 + t^5.438 + 3*t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 91935/131072, c: 114975/131072, X1: 11/8, M1: 5/8, M2: 9/8, M3: 15/16, M4: 3/4, M5: 13/16, M6: 3/4, q1: 25/32, q2: 19/32, qb1: 15/32, qb2: 13/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48154 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7058 | 0.8884 | 0.7944 | [M:[0.6794, 1.1069, 0.9707, 0.7379, 0.8155], q:[0.7767, 0.5439], qb:[0.4854, 0.4078], phi:[0.4466]] | t^2.038 + t^2.214 + t^2.447 + t^2.679 + t^2.855 + t^2.912 + t^3.321 + t^3.786 + t^4.019 + t^4.076 + t^4.195 + 2*t^4.252 + 2*t^4.427 + t^4.485 + t^4.603 + t^4.66 + t^4.718 + 3*t^4.893 + t^4.95 + t^5.069 + 2*t^5.126 + t^5.301 + 3*t^5.359 + 2*t^5.534 + t^5.71 + t^5.767 + t^5.824 - t^6. - t^4.34/y - t^4.34*y | detail |