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 |
|---|---|---|---|---|---|---|---|---|---|
| 55316 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ | 0.7181 | 0.8914 | 0.8055 | [M:[0.9004, 1.0996, 1.0, 0.8008, 0.9573, 0.9431, 0.9004], q:[0.4716, 0.628], qb:[0.4289, 0.5711], phi:[0.4751]] | [M:[[-4, -4], [4, 4], [0, 0], [-8, -8], [4, -12], [-8, 8], [-4, -4]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -3 | t^2.403 + 2*t^2.701 + t^2.829 + t^2.851 + t^2.872 + t^3. + t^3.998 + t^4.127 + t^4.255 + t^4.425 + t^4.553 + t^4.596 + t^4.724 + t^4.805 + t^4.852 + t^5.023 + 2*t^5.104 + t^5.193 + t^5.232 + t^5.253 + t^5.274 + 3*t^5.403 + t^5.531 + 2*t^5.552 + t^5.573 + t^5.659 + t^5.68 + 3*t^5.701 + t^5.723 + t^5.744 + t^5.851 - 3*t^6. - t^6.128 - t^6.171 - 2*t^6.299 + t^6.401 - t^6.427 - t^6.469 + t^6.529 - t^6.597 + t^6.657 + 2*t^6.7 + 3*t^6.828 + t^6.849 + t^6.87 + 3*t^6.956 + t^6.977 + 2*t^6.998 + t^7.084 + t^7.105 + 3*t^7.127 - t^7.148 + t^7.208 + 3*t^7.255 + t^7.297 + t^7.383 + 2*t^7.425 + t^7.447 + t^7.468 + 2*t^7.506 + 2*t^7.553 + t^7.596 + t^7.634 + t^7.656 + t^7.677 + t^7.682 - t^7.745 + 3*t^7.805 + t^7.895 + t^7.933 + 2*t^7.954 + t^7.976 + t^7.997 - t^8.002 + t^8.044 + t^8.061 + t^8.065 + t^8.082 + 5*t^8.104 + 2*t^8.125 + t^8.146 - t^8.151 - t^8.172 + t^8.232 + 4*t^8.253 - t^8.322 - t^8.343 + t^8.36 + 2*t^8.381 + 2*t^8.424 + t^8.445 + t^8.488 + 2*t^8.509 + 4*t^8.552 + 2*t^8.594 + t^8.616 + t^8.68 - 7*t^8.701 + t^8.723 + t^8.803 + t^8.808 - 6*t^8.829 - t^8.851 - 5*t^8.872 + t^8.932 - t^8.957 + t^8.979 - t^4.425/y - t^6.828/y - t^7.127/y - t^7.255/y - t^7.276/y - t^7.297/y + t^7.553/y + t^7.575/y + t^7.596/y + t^7.724/y + t^8.023/y + (2*t^8.104)/y + t^8.232/y + t^8.253/y + t^8.274/y + (2*t^8.403)/y + (2*t^8.531)/y + (2*t^8.552)/y + (2*t^8.573)/y + t^8.68/y + (3*t^8.701)/y + t^8.723/y + t^8.829/y + t^8.851/y + t^8.872/y - t^4.425*y - t^6.828*y - t^7.127*y - t^7.255*y - t^7.276*y - t^7.297*y + t^7.553*y + t^7.575*y + t^7.596*y + t^7.724*y + t^8.023*y + 2*t^8.104*y + t^8.232*y + t^8.253*y + t^8.274*y + 2*t^8.403*y + 2*t^8.531*y + 2*t^8.552*y + 2*t^8.573*y + t^8.68*y + 3*t^8.701*y + t^8.723*y + t^8.829*y + t^8.851*y + t^8.872*y | t^2.403/(g1^8*g2^8) + (2*t^2.701)/(g1^4*g2^4) + (g2^8*t^2.829)/g1^8 + t^2.851/(g1^2*g2^2) + (g1^4*t^2.872)/g2^12 + t^3. + t^3.998/(g1*g2^17) + t^4.127/(g1^5*g2^5) + (g2^7*t^4.255)/g1^9 + t^4.425/(g1*g2) + (g2^11*t^4.553)/g1^5 + (g1^7*t^4.596)/g2^9 + g1^3*g2^3*t^4.724 + t^4.805/(g1^16*g2^16) + (g2^15*t^4.852)/g1 + g1^7*g2^7*t^5.023 + (2*t^5.104)/(g1^12*g2^12) + (g1^15*t^5.193)/g2 + t^5.232/g1^16 + t^5.253/(g1^10*g2^10) + t^5.274/(g1^4*g2^20) + (3*t^5.403)/(g1^8*g2^8) + (g2^4*t^5.531)/g1^12 + (2*t^5.552)/(g1^6*g2^6) + t^5.573/g2^16 + (g2^16*t^5.659)/g1^16 + (g2^6*t^5.68)/g1^10 + (3*t^5.701)/(g1^4*g2^4) + (g1^2*t^5.723)/g2^14 + (g1^8*t^5.744)/g2^24 + t^5.851/(g1^2*g2^2) - 3*t^6. - (g2^12*t^6.128)/g1^4 - (g1^8*t^6.171)/g2^8 - 2*g1^4*g2^4*t^6.299 + t^6.401/(g1^9*g2^25) - g2^16*t^6.427 - (g1^12*t^6.469)/g2^4 + t^6.529/(g1^13*g2^13) - g1^8*g2^8*t^6.597 + t^6.657/(g1^17*g2) + (2*t^6.7)/(g1^5*g2^21) + (3*t^6.828)/(g1^9*g2^9) + t^6.849/(g1^3*g2^19) + (g1^3*t^6.87)/g2^29 + (3*g2^3*t^6.956)/g1^13 + t^6.977/(g1^7*g2^7) + (2*t^6.998)/(g1*g2^17) + (g2^15*t^7.084)/g1^17 + (g2^5*t^7.105)/g1^11 + (3*t^7.127)/(g1^5*g2^5) - (g1*t^7.148)/g2^15 + t^7.208/(g1^24*g2^24) + (3*g2^7*t^7.255)/g1^9 + (g1^3*t^7.297)/g2^13 + (g2^19*t^7.383)/g1^13 + (2*t^7.425)/(g1*g2) + (g1^5*t^7.447)/g2^11 + (g1^11*t^7.468)/g2^21 + (2*t^7.506)/(g1^20*g2^20) + (2*g2^11*t^7.553)/g1^5 + (g1^7*t^7.596)/g2^9 + t^7.634/(g1^24*g2^8) + t^7.656/(g1^18*g2^18) + t^7.677/(g1^12*g2^28) + (g2^23*t^7.682)/g1^9 - (g1^9*t^7.745)/g2^7 + (3*t^7.805)/(g1^16*g2^16) + (g1^11*t^7.895)/g2^5 + t^7.933/(g1^20*g2^4) + (2*t^7.954)/(g1^14*g2^14) + t^7.976/(g1^8*g2^24) + t^7.997/(g1^2*g2^34) - g1*g2^17*t^8.002 + (g1^13*t^8.044)/g2^3 + (g2^8*t^8.061)/g1^24 + (g1^19*t^8.065)/g2^13 + t^8.082/(g1^18*g2^2) + (5*t^8.104)/(g1^12*g2^12) + (2*t^8.125)/(g1^6*g2^22) + t^8.146/g2^32 - g1^3*g2^19*t^8.151 - g1^9*g2^9*t^8.172 + t^8.232/g1^16 + (4*t^8.253)/(g1^10*g2^10) - g1^11*g2^11*t^8.322 - g1^17*g2*t^8.343 + (g2^12*t^8.36)/g1^20 + (2*g2^2*t^8.381)/g1^14 + (2*t^8.424)/(g1^2*g2^18) + (g1^4*t^8.445)/g2^28 + (g2^24*t^8.488)/g1^24 + (2*g2^14*t^8.509)/g1^18 + (4*t^8.552)/(g1^6*g2^6) + (2*g1^6*t^8.594)/g2^26 + (g1^12*t^8.616)/g2^36 + (g2^6*t^8.68)/g1^10 - (7*t^8.701)/(g1^4*g2^4) + (g1^2*t^8.723)/g2^14 + t^8.803/(g1^17*g2^33) + (g2^18*t^8.808)/g1^14 - (6*g2^8*t^8.829)/g1^8 - t^8.851/(g1^2*g2^2) - (5*g1^4*t^8.872)/g2^12 + t^8.932/(g1^21*g2^21) - (g2^20*t^8.957)/g1^12 + (g2^10*t^8.979)/g1^6 - t^4.425/(g1*g2*y) - t^6.828/(g1^9*g2^9*y) - t^7.127/(g1^5*g2^5*y) - (g2^7*t^7.255)/(g1^9*y) - t^7.276/(g1^3*g2^3*y) - (g1^3*t^7.297)/(g2^13*y) + (g2^11*t^7.553)/(g1^5*y) + (g1*g2*t^7.575)/y + (g1^7*t^7.596)/(g2^9*y) + (g1^3*g2^3*t^7.724)/y + (g1^7*g2^7*t^8.023)/y + (2*t^8.104)/(g1^12*g2^12*y) + t^8.232/(g1^16*y) + t^8.253/(g1^10*g2^10*y) + t^8.274/(g1^4*g2^20*y) + (2*t^8.403)/(g1^8*g2^8*y) + (2*g2^4*t^8.531)/(g1^12*y) + (2*t^8.552)/(g1^6*g2^6*y) + (2*t^8.573)/(g2^16*y) + (g2^6*t^8.68)/(g1^10*y) + (3*t^8.701)/(g1^4*g2^4*y) + (g1^2*t^8.723)/(g2^14*y) + (g2^8*t^8.829)/(g1^8*y) + t^8.851/(g1^2*g2^2*y) + (g1^4*t^8.872)/(g2^12*y) - (t^4.425*y)/(g1*g2) - (t^6.828*y)/(g1^9*g2^9) - (t^7.127*y)/(g1^5*g2^5) - (g2^7*t^7.255*y)/g1^9 - (t^7.276*y)/(g1^3*g2^3) - (g1^3*t^7.297*y)/g2^13 + (g2^11*t^7.553*y)/g1^5 + g1*g2*t^7.575*y + (g1^7*t^7.596*y)/g2^9 + g1^3*g2^3*t^7.724*y + g1^7*g2^7*t^8.023*y + (2*t^8.104*y)/(g1^12*g2^12) + (t^8.232*y)/g1^16 + (t^8.253*y)/(g1^10*g2^10) + (t^8.274*y)/(g1^4*g2^20) + (2*t^8.403*y)/(g1^8*g2^8) + (2*g2^4*t^8.531*y)/g1^12 + (2*t^8.552*y)/(g1^6*g2^6) + (2*t^8.573*y)/g2^16 + (g2^6*t^8.68*y)/g1^10 + (3*t^8.701*y)/(g1^4*g2^4) + (g1^2*t^8.723*y)/g2^14 + (g2^8*t^8.829*y)/g1^8 + (t^8.851*y)/(g1^2*g2^2) + (g1^4*t^8.872*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56965 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{5}$ | 0.7071 | 0.8737 | 0.8094 | [M:[0.9401, 1.0599, 1.0, 0.8801, 1.0599, 0.8801, 0.9401], q:[0.4401, 0.6199], qb:[0.5, 0.5], phi:[0.485]] | 2*t^2.64 + 2*t^2.82 + t^2.91 + t^3. + t^3.18 + t^4.095 + 2*t^4.275 + 3*t^4.455 + t^4.635 + 2*t^4.815 + t^5.174 + 3*t^5.281 + 3*t^5.46 + 2*t^5.55 + 3*t^5.64 + 2*t^5.73 + 3*t^5.82 + t^5.91 - 3*t^6. - t^4.455/y - t^4.455*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ | 0.7097 | 0.8751 | 0.811 | [M:[0.9161, 1.0839, 1.0, 0.8322, 0.9631, 0.953], q:[0.4765, 0.6074], qb:[0.4396, 0.5604], phi:[0.479]] | t^2.497 + t^2.748 + t^2.859 + t^2.874 + t^2.889 + t^3. + t^3.252 + t^4.075 + t^4.185 + t^4.296 + t^4.437 + t^4.548 + t^4.578 + t^4.689 + t^4.799 + t^4.94 + t^4.993 + t^5.081 + t^5.245 + t^5.356 + t^5.371 + t^5.386 + t^5.497 + t^5.623 + t^5.718 + t^5.733 + 3*t^5.748 + t^5.764 + t^5.779 + t^5.874 - 2*t^6. - t^4.437/y - t^4.437*y | detail |