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 |
|---|---|---|---|---|---|---|---|---|---|
| 55955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{3}$ | 0.698 | 0.8561 | 0.8153 | [M:[1.0398, 1.0398, 0.9602, 0.9204, 1.0, 0.9602], q:[0.4602, 0.5], qb:[0.5, 0.5796], phi:[0.4901]] | [M:[[4], [4], [-4], [-8], [0], [-4]], q:[[-4], [0]], qb:[[0], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{2}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.761 + 2*t^2.881 + t^2.94 + t^3. + t^3.119 + t^3.239 + t^4.231 + 2*t^4.351 + 3*t^4.47 + t^4.59 + 2*t^4.709 + t^4.948 + t^5.523 + t^5.642 + t^5.702 + 2*t^5.761 + 2*t^5.821 + 2*t^5.881 + t^5.94 - 2*t^6. + t^6.06 + t^6.179 + t^6.477 + t^6.993 + 3*t^7.112 + t^7.172 + 5*t^7.231 + t^7.291 + 6*t^7.351 + t^7.41 + 3*t^7.47 - 2*t^7.53 + 3*t^7.59 + t^7.649 + 3*t^7.709 - 2*t^7.769 + 2*t^7.828 + t^7.888 + 2*t^7.948 - t^8.007 + t^8.067 + t^8.186 + t^8.284 + t^8.403 + 2*t^8.463 + t^8.523 + 3*t^8.582 + 2*t^8.642 + 5*t^8.702 - 2*t^8.761 + 7*t^8.821 - 8*t^8.881 + 5*t^8.94 - t^4.47/y - t^7.231/y - t^7.41/y + t^7.53/y + t^7.709/y + (2*t^8.642)/y + t^8.702/y + (2*t^8.761)/y + (2*t^8.821)/y + (3*t^8.881)/y + t^8.94/y - t^4.47*y - t^7.231*y - t^7.41*y + t^7.53*y + t^7.709*y + 2*t^8.642*y + t^8.702*y + 2*t^8.761*y + 2*t^8.821*y + 3*t^8.881*y + t^8.94*y | t^2.761/g1^8 + (2*t^2.881)/g1^4 + t^2.94/g1^2 + t^3. + g1^4*t^3.119 + g1^8*t^3.239 + t^4.231/g1^9 + (2*t^4.351)/g1^5 + (3*t^4.47)/g1 + g1^3*t^4.59 + 2*g1^7*t^4.709 + g1^15*t^4.948 + t^5.523/g1^16 + t^5.642/g1^12 + t^5.702/g1^10 + (2*t^5.761)/g1^8 + (2*t^5.821)/g1^6 + (2*t^5.881)/g1^4 + t^5.94/g1^2 - 2*t^6. + g1^2*t^6.06 + g1^6*t^6.179 + g1^16*t^6.477 + t^6.993/g1^17 + (3*t^7.112)/g1^13 + t^7.172/g1^11 + (5*t^7.231)/g1^9 + t^7.291/g1^7 + (6*t^7.351)/g1^5 + t^7.41/g1^3 + (3*t^7.47)/g1 - 2*g1*t^7.53 + 3*g1^3*t^7.59 + g1^5*t^7.649 + 3*g1^7*t^7.709 - 2*g1^9*t^7.769 + 2*g1^11*t^7.828 + g1^13*t^7.888 + 2*g1^15*t^7.948 - g1^17*t^8.007 + g1^19*t^8.067 + g1^23*t^8.186 + t^8.284/g1^24 + t^8.403/g1^20 + (2*t^8.463)/g1^18 + t^8.523/g1^16 + (3*t^8.582)/g1^14 + (2*t^8.642)/g1^12 + (5*t^8.702)/g1^10 - (2*t^8.761)/g1^8 + (7*t^8.821)/g1^6 - (8*t^8.881)/g1^4 + (5*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.231/(g1^9*y) - t^7.41/(g1^3*y) + (g1*t^7.53)/y + (g1^7*t^7.709)/y + (2*t^8.642)/(g1^12*y) + t^8.702/(g1^10*y) + (2*t^8.761)/(g1^8*y) + (2*t^8.821)/(g1^6*y) + (3*t^8.881)/(g1^4*y) + t^8.94/(g1^2*y) - (t^4.47*y)/g1 - (t^7.231*y)/g1^9 - (t^7.41*y)/g1^3 + g1*t^7.53*y + g1^7*t^7.709*y + (2*t^8.642*y)/g1^12 + (t^8.702*y)/g1^10 + (2*t^8.761*y)/g1^8 + (2*t^8.821*y)/g1^6 + (3*t^8.881*y)/g1^4 + (t^8.94*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57697 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{7}$ | 0.7022 | 0.8641 | 0.8127 | [M:[1.051, 1.051, 0.949, 0.8979, 1.0, 0.949, 0.949], q:[0.449, 0.5], qb:[0.5, 0.6021], phi:[0.4872]] | t^2.694 + 3*t^2.847 + t^2.923 + t^3. + t^3.306 + t^4.156 + 2*t^4.309 + 3*t^4.462 + t^4.615 + 2*t^4.768 + t^5.074 + t^5.388 + 2*t^5.541 + t^5.617 + 5*t^5.694 + 3*t^5.77 + 2*t^5.847 + t^5.923 - 4*t^6. - t^4.462/y - t^4.462*y | detail | |
| 57696 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{7}$ | 0.6948 | 0.8506 | 0.8168 | [M:[1.0285, 1.0285, 0.9715, 0.943, 1.0, 0.9715, 1.0285], q:[0.4715, 0.5], qb:[0.5, 0.557], phi:[0.4929]] | t^2.829 + t^2.914 + t^2.957 + t^3. + 2*t^3.086 + t^3.171 + t^4.308 + 2*t^4.393 + 3*t^4.479 + t^4.564 + 2*t^4.65 + t^4.821 + t^5.658 + t^5.786 + t^5.872 + 2*t^5.914 + t^5.957 - 2*t^6. - t^4.479/y - t^4.479*y | detail | |
| 57698 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6635 | 0.826 | 0.8033 | [M:[1.1333, 1.1333, 0.8667, 0.7333, 1.0, 0.8667], q:[0.3667, 0.5], qb:[0.5, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.6 + t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + 4*t^4.4 + 2*t^4.8 + t^5. + 4*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 1327/2000, c: 413/500, M1: 17/15, M2: 17/15, M3: 13/15, M4: 11/15, M5: 1, M6: 13/15, q1: 11/30, q2: 1/2, qb1: 1/2, qb2: 23/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48232 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[1.0721, 0.9677, 0.9279, 0.9602, 1.0, 0.9279], q:[0.4801, 0.4478], qb:[0.5522, 0.592], phi:[0.482]] | 2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y | detail |