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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[10], [4], [-18], [6], [-14], [-6], [0]], q:[[-11], [1]], qb:[[5], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | 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. + 2*t^6.143 + t^6.173 + t^6.286 + 2*t^6.4 + t^6.43 + t^6.543 + t^6.686 + t^6.716 + t^6.942 + 2*t^6.972 + t^7.085 + t^7.116 + t^7.229 + t^7.259 + 2*t^7.372 + t^7.515 + 2*t^7.628 + 2*t^7.658 + t^7.771 + 2*t^7.801 + t^7.915 + t^8.028 - t^8.058 + 2*t^8.171 + 2*t^8.201 + t^8.231 - t^8.314 + t^8.344 + 2*t^8.457 + t^8.487 + t^8.57 - t^8.6 + t^8.714 + 2*t^8.744 + t^8.774 - 2*t^8.857 + t^8.887 - t^4.229/y - t^6.286/y - t^6.829/y - t^7.085/y + (2*t^7.372)/y + t^7.628/y + t^7.658/y + (2*t^7.915)/y + t^8.058/y + (2*t^8.171)/y + t^8.314/y - t^8.344/y + t^8.457/y + (3*t^8.6)/y + t^8.744/y + (3*t^8.857)/y - t^8.887/y - t^4.229*y - t^6.286*y - t^6.829*y - t^7.085*y + 2*t^7.372*y + t^7.628*y + t^7.658*y + 2*t^7.915*y + t^8.058*y + 2*t^8.171*y + t^8.314*y - t^8.344*y + t^8.457*y + 3*t^8.6*y + t^8.744*y + 3*t^8.857*y - t^8.887*y | t^2.058/g1^18 + g1^6*t^2.314 + t^2.6/g1^14 + g1^10*t^2.857 + t^3. + 2*g1^4*t^3.543 + t^3.686/g1^6 + g1^8*t^4.085 + t^4.116/g1^36 + t^4.372/g1^12 + g1^12*t^4.628 + t^4.658/g1^32 + g1^2*t^4.771 + (2*t^4.915)/g1^8 + t^5.058/g1^18 + g1^16*t^5.171 + t^5.201/g1^28 + g1^6*t^5.314 + (2*t^5.6)/g1^14 + g1^20*t^5.714 + t^5.744/g1^24 + 2*g1^10*t^5.857 - t^6. + (2*t^6.143)/g1^10 + t^6.173/g1^54 + t^6.286/g1^20 + 2*g1^14*t^6.4 + t^6.43/g1^30 + g1^4*t^6.543 + t^6.686/g1^6 + t^6.716/g1^50 + g1^18*t^6.942 + (2*t^6.972)/g1^26 + g1^8*t^7.085 + t^7.116/g1^36 + t^7.229/g1^2 + t^7.259/g1^46 + (2*t^7.372)/g1^12 + t^7.515/g1^22 + 2*g1^12*t^7.628 + (2*t^7.658)/g1^32 + g1^2*t^7.771 + (2*t^7.801)/g1^42 + t^7.915/g1^8 + g1^26*t^8.028 - t^8.058/g1^18 + 2*g1^16*t^8.171 + (2*t^8.201)/g1^28 + t^8.231/g1^72 - g1^6*t^8.314 + t^8.344/g1^38 + (2*t^8.457)/g1^4 + t^8.487/g1^48 + g1^30*t^8.57 - t^8.6/g1^14 + g1^20*t^8.714 + (2*t^8.744)/g1^24 + t^8.774/g1^68 - 2*g1^10*t^8.857 + t^8.887/g1^34 - t^4.229/(g1^2*y) - t^6.286/(g1^20*y) - t^6.829/(g1^16*y) - (g1^8*t^7.085)/y + (2*t^7.372)/(g1^12*y) + (g1^12*t^7.628)/y + t^7.658/(g1^32*y) + (2*t^7.915)/(g1^8*y) + t^8.058/(g1^18*y) + (2*g1^16*t^8.171)/y + (g1^6*t^8.314)/y - t^8.344/(g1^38*y) + t^8.457/(g1^4*y) + (3*t^8.6)/(g1^14*y) + t^8.744/(g1^24*y) + (3*g1^10*t^8.857)/y - t^8.887/(g1^34*y) - (t^4.229*y)/g1^2 - (t^6.286*y)/g1^20 - (t^6.829*y)/g1^16 - g1^8*t^7.085*y + (2*t^7.372*y)/g1^12 + g1^12*t^7.628*y + (t^7.658*y)/g1^32 + (2*t^7.915*y)/g1^8 + (t^8.058*y)/g1^18 + 2*g1^16*t^8.171*y + g1^6*t^8.314*y - (t^8.344*y)/g1^38 + (t^8.457*y)/g1^4 + (3*t^8.6*y)/g1^14 + (t^8.744*y)/g1^24 + 3*g1^10*t^8.857*y - (t^8.887*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 |
|---|---|---|---|---|---|---|---|---|
| 5146 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{3}M_{5}$ | 0.5533 | 0.6939 | 0.7973 | [M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0], q:[0.9063, 0.2813], qb:[0.4063, 0.6563], phi:[0.4375]] | t^2.063 + t^2.438 + t^2.813 + t^3. + t^3.188 + 2*t^3.375 + t^3.75 + t^3.938 + t^4.125 + t^4.5 + t^4.688 + 2*t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + t^5.625 + 3*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 36261/65536, c: 45477/65536, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
| 5140 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}M_{8}$ | 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]] | 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. - t^4.232/y - t^4.232*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2900 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6596 | 0.8332 | 0.7916 | [M:[0.7847, 1.2363, 0.7427, 0.8544, 0.673, 1.1456, 0.6939], q:[0.7532, 0.4621], qb:[0.3923, 0.8649], phi:[0.3819]] | t^2.019 + t^2.082 + t^2.228 + t^2.354 + t^2.563 + t^3.437 + t^3.5 + 2*t^3.709 + t^4.038 + t^4.101 + t^4.164 + t^4.247 + t^4.31 + t^4.373 + t^4.436 + t^4.456 + 2*t^4.582 + t^4.645 + t^4.708 + t^4.792 + t^4.854 + t^4.917 + t^5.127 + t^5.456 + 2*t^5.518 + t^5.581 + t^5.665 + 2*t^5.728 + 2*t^5.791 + t^5.854 + t^5.937 - 2*t^6. - t^4.146/y - t^4.146*y | detail |