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 |
|---|---|---|---|---|---|---|---|---|---|
| 52235 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.723 | 0.9046 | 0.7992 | [M:[0.6752, 0.6752, 1.0, 1.0, 1.1624, 0.9316, 0.7436], q:[0.7906, 0.5342], qb:[0.5342, 0.4658], phi:[0.4188]] | [M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [0, -4], [0, 14], [0, -6]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$ | -2 | 2*t^2.026 + t^2.231 + t^2.795 + 2*t^3. + t^3.487 + 4*t^4.051 + 4*t^4.256 + 4*t^4.461 + 2*t^4.821 + 5*t^5.026 + 2*t^5.231 + 2*t^5.513 + t^5.59 + t^5.718 - 2*t^6. + 6*t^6.077 - 2*t^6.205 + 8*t^6.282 + 10*t^6.487 + 4*t^6.692 - 2*t^6.769 + 4*t^6.846 - t^6.974 + 10*t^7.051 + 7*t^7.256 + 4*t^7.461 + 3*t^7.539 + 2*t^7.616 + 2*t^7.744 + t^7.821 + t^7.949 - 6*t^8.026 + 9*t^8.103 - 10*t^8.231 + 14*t^8.308 + t^8.385 - 4*t^8.436 + 19*t^8.513 + 12*t^8.718 - 7*t^8.795 + 6*t^8.872 + 9*t^8.923 - t^4.256/y - (2*t^6.282)/y - t^6.487/y + (2*t^7.256)/y + t^7.461/y + (2*t^7.821)/y + (6*t^8.026)/y + (4*t^8.231)/y - (3*t^8.308)/y + (2*t^8.795)/y - t^4.256*y - 2*t^6.282*y - t^6.487*y + 2*t^7.256*y + t^7.461*y + 2*t^7.821*y + 6*t^8.026*y + 4*t^8.231*y - 3*t^8.308*y + 2*t^8.795*y | (g2*t^2.026)/g1 + g1*g2^15*t^2.026 + t^2.231/g2^6 + g2^14*t^2.795 + t^3./(g1*g2^7) + g1*g2^7*t^3. + t^3.487/g2^4 + (g2^2*t^4.051)/g1^2 + 2*g2^16*t^4.051 + g1^2*g2^30*t^4.051 + (2*t^4.256)/(g1*g2^5) + 2*g1*g2^9*t^4.256 + t^4.461/(g1^2*g2^26) + (2*t^4.461)/g2^12 + g1^2*g2^2*t^4.461 + (g2^15*t^4.821)/g1 + g1*g2^29*t^4.821 + t^5.026/(g1^2*g2^6) + 3*g2^8*t^5.026 + g1^2*g2^22*t^5.026 + t^5.231/(g1*g2^13) + g1*g2*t^5.231 + t^5.513/(g1*g2^3) + g1*g2^11*t^5.513 + g2^28*t^5.59 + t^5.718/g2^10 - 2*t^6. + (g2^3*t^6.077)/g1^3 + (2*g2^17*t^6.077)/g1 + 2*g1*g2^31*t^6.077 + g1^3*g2^45*t^6.077 - t^6.205/(g1*g2^21) - (g1*t^6.205)/g2^7 + (2*t^6.282)/(g1^2*g2^4) + 4*g2^10*t^6.282 + 2*g1^2*g2^24*t^6.282 + t^6.487/(g1^3*g2^25) + (4*t^6.487)/(g1*g2^11) + 4*g1*g2^3*t^6.487 + g1^3*g2^17*t^6.487 + t^6.692/(g1^2*g2^32) + (2*t^6.692)/g2^18 + (g1^2*t^6.692)/g2^4 - t^6.769/(g1*g2) - g1*g2^13*t^6.769 + (g2^16*t^6.846)/g1^2 + 2*g2^30*t^6.846 + g1^2*g2^44*t^6.846 - t^6.974/g2^8 + t^7.051/(g1^3*g2^5) + (4*g2^9*t^7.051)/g1 + 4*g1*g2^23*t^7.051 + g1^3*g2^37*t^7.051 + (2*t^7.256)/(g1^2*g2^12) + 3*g2^2*t^7.256 + 2*g1^2*g2^16*t^7.256 + t^7.461/(g1^3*g2^33) + t^7.461/(g1*g2^19) + (g1*t^7.461)/g2^5 + g1^3*g2^9*t^7.461 + t^7.539/(g1^2*g2^2) + g2^12*t^7.539 + g1^2*g2^26*t^7.539 + (g2^29*t^7.616)/g1 + g1*g2^43*t^7.616 + t^7.744/(g1*g2^9) + g1*g2^5*t^7.744 + g2^22*t^7.821 + t^7.949/g2^16 - (3*g2*t^8.026)/g1 - 3*g1*g2^15*t^8.026 + (g2^4*t^8.103)/g1^4 + (2*g2^18*t^8.103)/g1^2 + 3*g2^32*t^8.103 + 2*g1^2*g2^46*t^8.103 + g1^4*g2^60*t^8.103 - (2*t^8.231)/(g1^2*g2^20) - (6*t^8.231)/g2^6 - 2*g1^2*g2^8*t^8.231 + (2*t^8.308)/(g1^3*g2^3) + (5*g2^11*t^8.308)/g1 + 5*g1*g2^25*t^8.308 + 2*g1^3*g2^39*t^8.308 + g2^42*t^8.385 - (2*t^8.436)/(g1*g2^27) - (2*g1*t^8.436)/g2^13 + t^8.513/(g1^4*g2^24) + (5*t^8.513)/(g1^2*g2^10) + 7*g2^4*t^8.513 + 5*g1^2*g2^18*t^8.513 + g1^4*g2^32*t^8.513 + (2*t^8.718)/(g1^3*g2^31) + (4*t^8.718)/(g1*g2^17) + (4*g1*t^8.718)/g2^3 + 2*g1^3*g2^11*t^8.718 - t^8.795/g1^2 - 5*g2^14*t^8.795 - g1^2*g2^28*t^8.795 + (g2^17*t^8.872)/g1^3 + (2*g2^31*t^8.872)/g1 + 2*g1*g2^45*t^8.872 + g1^3*g2^59*t^8.872 + t^8.923/(g1^4*g2^52) + (2*t^8.923)/(g1^2*g2^38) + (3*t^8.923)/g2^24 + (2*g1^2*t^8.923)/g2^10 + g1^4*g2^4*t^8.923 - (g2^2*t^4.256)/y - (g2^3*t^6.282)/(g1*y) - (g1*g2^17*t^6.282)/y - t^6.487/(g2^4*y) + t^7.256/(g1*g2^5*y) + (g1*g2^9*t^7.256)/y + t^7.461/(g2^12*y) + (g2^15*t^7.821)/(g1*y) + (g1*g2^29*t^7.821)/y + t^8.026/(g1^2*g2^6*y) + (4*g2^8*t^8.026)/y + (g1^2*g2^22*t^8.026)/y + (2*t^8.231)/(g1*g2^13*y) + (2*g1*g2*t^8.231)/y - (g2^4*t^8.308)/(g1^2*y) - (g2^18*t^8.308)/y - (g1^2*g2^32*t^8.308)/y + (g2^7*t^8.795)/(g1*y) + (g1*g2^21*t^8.795)/y - g2^2*t^4.256*y - (g2^3*t^6.282*y)/g1 - g1*g2^17*t^6.282*y - (t^6.487*y)/g2^4 + (t^7.256*y)/(g1*g2^5) + g1*g2^9*t^7.256*y + (t^7.461*y)/g2^12 + (g2^15*t^7.821*y)/g1 + g1*g2^29*t^7.821*y + (t^8.026*y)/(g1^2*g2^6) + 4*g2^8*t^8.026*y + g1^2*g2^22*t^8.026*y + (2*t^8.231*y)/(g1*g2^13) + 2*g1*g2*t^8.231*y - (g2^4*t^8.308*y)/g1^2 - g2^18*t^8.308*y - g1^2*g2^32*t^8.308*y + (g2^7*t^8.795*y)/g1 + g1*g2^21*t^8.795*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 |
|---|---|---|---|---|---|---|---|---|
| 56353 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ | 0.7188 | 0.8974 | 0.801 | [M:[0.7143, 0.7143, 1.0, 1.0, 1.1429, 1.0, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^2.143 + 3*t^3. + t^3.429 + 12*t^4.286 + 9*t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3945/5488, c: 4925/5488, M1: 5/7, M2: 5/7, M3: 1, M4: 1, M5: 8/7, M6: 1, M7: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48290 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7038 | 0.8701 | 0.8089 | [M:[0.6699, 0.6699, 1.0, 1.0, 1.165, 0.9223], q:[0.7913, 0.5388], qb:[0.5388, 0.4612], phi:[0.4175]] | 2*t^2.01 + t^2.767 + 2*t^3. + t^3.495 + t^3.757 + 4*t^4.019 + 2*t^4.252 + 3*t^4.485 + 2*t^4.777 + 4*t^5.01 + 2*t^5.505 + t^5.534 + 2*t^5.767 - 2*t^6. - t^4.252/y - t^4.252*y | detail |