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 |
|---|---|---|---|---|---|---|---|---|---|
| 5140 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}M_{8}$ | 0.6132 | 0.775 | 0.7912 | [M:[0.9461, 1.1784, 0.697, 0.7677, 0.8755, 1.2323, 1.0, 0.7677], q:[0.7593, 0.2946], qb:[0.473, 0.8299], phi:[0.4108]] | [M:[[10], [4], [-18], [6], [-14], [-6], [0], [6]], q:[[-11], [1]], qb:[[5], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.091 + 2*t^2.303 + t^2.626 + t^2.838 + t^3. + 2*t^3.535 + t^4.071 + t^4.182 + 2*t^4.394 + 3*t^4.606 + t^4.718 + t^4.768 + 3*t^4.929 + t^5.091 + 2*t^5.141 + t^5.253 + 2*t^5.303 + 2*t^5.626 + t^5.677 + 4*t^5.838 - 2*t^6. + 2*t^6.162 + t^6.273 + 3*t^6.374 + 2*t^6.485 + 2*t^6.697 + t^6.809 + 4*t^6.909 + 3*t^7.021 + 2*t^7.071 + t^7.182 + 2*t^7.232 + t^7.344 + 2*t^7.394 + 2*t^7.444 + 2*t^7.556 + 4*t^7.606 + 2*t^7.718 + t^7.879 + 3*t^7.929 + 2*t^7.979 - 2*t^8.091 + 6*t^8.141 + 2*t^8.253 - 4*t^8.303 + t^8.365 + 3*t^8.465 + t^8.515 + 2*t^8.576 - 3*t^8.626 + 4*t^8.677 + 3*t^8.788 - 3*t^8.838 + t^8.9 - t^4.232/y - t^6.323/y - t^6.535/y - t^6.859/y - t^7.071/y + (3*t^7.394)/y + (2*t^7.606)/y + t^7.718/y + (4*t^7.929)/y + t^8.091/y + (3*t^8.141)/y + (2*t^8.303)/y - t^8.415/y + t^8.465/y + (2*t^8.626)/y + (4*t^8.838)/y - t^8.95/y - t^4.232*y - t^6.323*y - t^6.535*y - t^6.859*y - t^7.071*y + 3*t^7.394*y + 2*t^7.606*y + t^7.718*y + 4*t^7.929*y + t^8.091*y + 3*t^8.141*y + 2*t^8.303*y - t^8.415*y + t^8.465*y + 2*t^8.626*y + 4*t^8.838*y - t^8.95*y | t^2.091/g1^18 + 2*g1^6*t^2.303 + t^2.626/g1^14 + g1^10*t^2.838 + t^3. + 2*g1^4*t^3.535 + g1^8*t^4.071 + t^4.182/g1^36 + (2*t^4.394)/g1^12 + 3*g1^12*t^4.606 + t^4.718/g1^32 + g1^2*t^4.768 + (3*t^4.929)/g1^8 + t^5.091/g1^18 + 2*g1^16*t^5.141 + t^5.253/g1^28 + 2*g1^6*t^5.303 + (2*t^5.626)/g1^14 + g1^20*t^5.677 + 4*g1^10*t^5.838 - 2*t^6. + (2*t^6.162)/g1^10 + t^6.273/g1^54 + 3*g1^14*t^6.374 + (2*t^6.485)/g1^30 + (2*t^6.697)/g1^6 + t^6.809/g1^50 + 4*g1^18*t^6.909 + (3*t^7.021)/g1^26 + 2*g1^8*t^7.071 + t^7.182/g1^36 + (2*t^7.232)/g1^2 + t^7.344/g1^46 + (2*t^7.394)/g1^12 + 2*g1^22*t^7.444 + (2*t^7.556)/g1^22 + 4*g1^12*t^7.606 + (2*t^7.718)/g1^32 + t^7.879/g1^42 + (3*t^7.929)/g1^8 + 2*g1^26*t^7.979 - (2*t^8.091)/g1^18 + 6*g1^16*t^8.141 + (2*t^8.253)/g1^28 - 4*g1^6*t^8.303 + t^8.365/g1^72 + (3*t^8.465)/g1^4 + g1^30*t^8.515 + (2*t^8.576)/g1^48 - (3*t^8.626)/g1^14 + 4*g1^20*t^8.677 + (3*t^8.788)/g1^24 - 3*g1^10*t^8.838 + t^8.9/g1^68 - t^4.232/(g1^2*y) - t^6.323/(g1^20*y) - (g1^4*t^6.535)/y - t^6.859/(g1^16*y) - (g1^8*t^7.071)/y + (3*t^7.394)/(g1^12*y) + (2*g1^12*t^7.606)/y + t^7.718/(g1^32*y) + (4*t^7.929)/(g1^8*y) + t^8.091/(g1^18*y) + (3*g1^16*t^8.141)/y + (2*g1^6*t^8.303)/y - t^8.415/(g1^38*y) + t^8.465/(g1^4*y) + (2*t^8.626)/(g1^14*y) + (4*g1^10*t^8.838)/y - t^8.95/(g1^34*y) - (t^4.232*y)/g1^2 - (t^6.323*y)/g1^20 - g1^4*t^6.535*y - (t^6.859*y)/g1^16 - g1^8*t^7.071*y + (3*t^7.394*y)/g1^12 + 2*g1^12*t^7.606*y + (t^7.718*y)/g1^32 + (4*t^7.929*y)/g1^8 + (t^8.091*y)/g1^18 + 3*g1^16*t^8.141*y + 2*g1^6*t^8.303*y - (t^8.415*y)/g1^38 + (t^8.465*y)/g1^4 + (2*t^8.626*y)/g1^14 + 4*g1^10*t^8.838*y - (t^8.95*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6713 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{3}M_{5}$ | 0.574 | 0.7342 | 0.7819 | [M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0, 0.6875], q:[0.9063, 0.2813], qb:[0.4063, 0.6563], phi:[0.4375]] | 2*t^2.063 + t^2.438 + t^2.813 + t^3. + t^3.188 + 2*t^3.375 + t^3.75 + 3*t^4.125 + 2*t^4.5 + t^4.688 + 3*t^4.875 + 2*t^5.063 + 3*t^5.25 + 4*t^5.438 + t^5.625 + 4*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 75237/131072, c: 96229/131072, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, M8: 11/16, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3480 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.595 | 0.7426 | 0.8012 | [M:[0.9523, 1.1809, 0.6859, 0.7714, 0.8668, 1.2286, 1.0], q:[0.7525, 0.2952], qb:[0.4761, 0.8379], phi:[0.4095]] | t^2.058 + t^2.314 + t^2.6 + t^2.857 + t^3. + 2*t^3.543 + t^3.686 + t^4.085 + t^4.116 + t^4.372 + t^4.628 + t^4.658 + t^4.771 + 2*t^4.915 + t^5.058 + t^5.171 + t^5.201 + t^5.314 + 2*t^5.6 + t^5.714 + t^5.744 + 2*t^5.857 - t^6. - t^4.229/y - t^4.229*y | detail |