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 |
|---|---|---|---|---|---|---|---|---|---|
| 55609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6696 | 0.8411 | 0.796 | [M:[1.1677, 1.0808, 0.8323, 0.8074, 1.0559, 0.6707], q:[0.4037, 0.4286], qb:[0.5155, 0.764], phi:[0.4721]] | [M:[[12], [-30], [-12], [22], [4], [48]], q:[[11], [-23]], qb:[[19], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$ | ${}$ | -1 | 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^6.037 + t^6.186 + 2*t^6.261 + 2*t^6.335 + t^6.41 + t^6.447 + t^6.485 + 2*t^6.521 + t^6.596 + 3*t^6.671 + t^6.745 + 2*t^6.857 + 2*t^6.931 + 3*t^7.006 + t^7.081 - t^7.155 + t^7.192 + 3*t^7.267 + 4*t^7.341 + t^7.527 + t^7.602 + 5*t^7.677 + 2*t^7.752 + 2*t^7.863 + t^7.937 + 2*t^8.012 + t^8.049 + 2*t^8.087 + t^8.198 + 2*t^8.273 + 4*t^8.348 - t^8.422 + t^8.459 + 2*t^8.534 - t^8.572 + t^8.608 + 5*t^8.683 + 2*t^8.758 - t^8.832 + 2*t^8.869 + t^8.907 + 2*t^8.944 - t^4.416/y - t^6.428/y - t^6.838/y + t^7.174/y + t^7.434/y + t^7.509/y - t^7.659/y + t^7.845/y + t^7.919/y + t^7.994/y + t^8.18/y + (2*t^8.255)/y + t^8.329/y + t^8.404/y - t^8.441/y + t^8.515/y + t^8.59/y + (2*t^8.665)/y + t^8.739/y + t^8.851/y + (2*t^8.925)/y - t^4.416*y - t^6.428*y - t^6.838*y + t^7.174*y + t^7.434*y + t^7.509*y - t^7.659*y + t^7.845*y + t^7.919*y + t^7.994*y + t^8.18*y + 2*t^8.255*y + t^8.329*y + t^8.404*y - t^8.441*y + t^8.515*y + t^8.59*y + 2*t^8.665*y + t^8.739*y + t^8.851*y + 2*t^8.925*y | g1^48*t^2.012 + g1^22*t^2.422 + t^2.497/g1^12 + t^2.832/g1^4 + g1^4*t^3.168 + t^3.242/g1^30 + g1^12*t^3.503 + 2*g1^20*t^3.838 + t^3.913/g1^14 + g1^96*t^4.024 + g1^28*t^4.174 + t^4.248/g1^6 + g1^70*t^4.434 + 2*g1^36*t^4.509 + 2*g1^44*t^4.845 + g1^10*t^4.919 + t^4.994/g1^24 + g1^52*t^5.18 + 2*g1^18*t^5.255 + t^5.329/g1^16 + g1^60*t^5.515 + g1^26*t^5.59 + (2*t^5.665)/g1^8 + 2*g1^68*t^5.851 + g1^34*t^5.925 - t^6. + g1^144*t^6.037 + g1^76*t^6.186 + 2*g1^42*t^6.261 + 2*g1^8*t^6.335 + t^6.41/g1^26 + g1^118*t^6.447 + t^6.485/g1^60 + 2*g1^84*t^6.521 + g1^50*t^6.596 + 3*g1^16*t^6.671 + t^6.745/g1^18 + 2*g1^92*t^6.857 + 2*g1^58*t^6.931 + 3*g1^24*t^7.006 + t^7.081/g1^10 - t^7.155/g1^44 + g1^100*t^7.192 + 3*g1^66*t^7.267 + 4*g1^32*t^7.341 + g1^108*t^7.527 + g1^74*t^7.602 + 5*g1^40*t^7.677 + 2*g1^6*t^7.752 + 2*g1^116*t^7.863 + g1^82*t^7.937 + 2*g1^48*t^8.012 + g1^192*t^8.049 + 2*g1^14*t^8.087 + g1^124*t^8.198 + 2*g1^90*t^8.273 + 4*g1^56*t^8.348 - g1^22*t^8.422 + g1^166*t^8.459 + 2*g1^132*t^8.534 - t^8.572/g1^46 + g1^98*t^8.608 + 5*g1^64*t^8.683 + 2*g1^30*t^8.758 - t^8.832/g1^4 + 2*g1^140*t^8.869 + t^8.907/g1^38 + 2*g1^106*t^8.944 - t^4.416/(g1^2*y) - (g1^46*t^6.428)/y - (g1^20*t^6.838)/y + (g1^28*t^7.174)/y + (g1^70*t^7.434)/y + (g1^36*t^7.509)/y - t^7.659/(g1^32*y) + (g1^44*t^7.845)/y + (g1^10*t^7.919)/y + t^7.994/(g1^24*y) + (g1^52*t^8.18)/y + (2*g1^18*t^8.255)/y + t^8.329/(g1^16*y) + t^8.404/(g1^50*y) - (g1^94*t^8.441)/y + (g1^60*t^8.515)/y + (g1^26*t^8.59)/y + (2*t^8.665)/(g1^8*y) + t^8.739/(g1^42*y) + (g1^68*t^8.851)/y + (2*g1^34*t^8.925)/y - (t^4.416*y)/g1^2 - g1^46*t^6.428*y - g1^20*t^6.838*y + g1^28*t^7.174*y + g1^70*t^7.434*y + g1^36*t^7.509*y - (t^7.659*y)/g1^32 + g1^44*t^7.845*y + g1^10*t^7.919*y + (t^7.994*y)/g1^24 + g1^52*t^8.18*y + 2*g1^18*t^8.255*y + (t^8.329*y)/g1^16 + (t^8.404*y)/g1^50 - g1^94*t^8.441*y + g1^60*t^8.515*y + g1^26*t^8.59*y + (2*t^8.665*y)/g1^8 + (t^8.739*y)/g1^42 + g1^68*t^8.851*y + 2*g1^34*t^8.925*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 |
|---|---|---|---|---|---|---|---|---|
| 57265 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6841 | 0.8654 | 0.7904 | [M:[1.1708, 1.0729, 0.8292, 0.8132, 1.0569, 0.6833, 0.8292], q:[0.4066, 0.4226], qb:[0.5205, 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 | |
| 57263 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.5913 | 0.7377 | 0.8015 | [M:[1.2571, 0.8571, 0.7429, 0.9714, 1.0857, 1.0286], q:[0.4857, 0.2571], qb:[0.6571, 0.7714], phi:[0.4571]] | 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^4.371/y - t^4.371*y | detail | {a: 202809/343000, c: 126517/171500, M1: 44/35, M2: 6/7, M3: 26/35, M4: 34/35, M5: 38/35, M6: 36/35, q1: 17/35, q2: 9/35, qb1: 23/35, qb2: 27/35, phi1: 16/35} |
| 57262 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.6026 | 0.751 | 0.8024 | [M:[1.25, 0.875, 0.75, 0.9583, 1.0833, 1.0], q:[0.4792, 0.2708], qb:[0.6458, 0.7708], phi:[0.4583]] | t^2.25 + t^2.625 + t^2.75 + t^2.875 + t^3. + t^3.25 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + t^5. + t^5.125 + 3*t^5.25 + 2*t^5.5 + 2*t^5.625 + 2*t^5.75 + 2*t^5.875 - t^4.375/y - t^4.375*y | detail | {a: 9873/16384, c: 12305/16384, M1: 5/4, M2: 7/8, M3: 3/4, M4: 23/24, M5: 13/12, M6: 1, q1: 23/48, q2: 13/48, qb1: 31/48, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47141 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6487 | 0.7997 | 0.8112 | [M:[1.1684, 1.0791, 0.8316, 0.8087, 1.0561], q:[0.4043, 0.4273], qb:[0.5166, 0.764], phi:[0.4719]] | t^2.426 + t^2.495 + t^2.832 + t^3.168 + t^3.237 + t^3.505 + 2*t^3.842 + t^3.911 + t^3.98 + t^4.179 + t^4.247 + t^4.515 + t^4.852 + t^4.921 + t^4.99 + t^5.258 + t^5.327 + t^5.594 + 2*t^5.663 - t^6. - t^4.416/y - t^4.416*y | detail |