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 |
---|---|---|---|---|---|---|---|---|---|
1878 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6266 | 0.8144 | 0.7694 | [M:[1.0, 1.0266, 0.9468, 1.0266, 0.7278, 0.7012], q:[0.7567, 0.2433], qb:[0.5421, 0.5111], phi:[0.4867]] | [M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.104 + t^2.183 + t^2.263 + t^2.356 + t^2.84 + t^3. + 2*t^3.08 + t^3.723 + t^3.803 + t^4.207 + t^4.287 + 2*t^4.367 + t^4.447 + t^4.46 + 2*t^4.527 + t^4.54 + 2*t^4.62 + 2*t^4.713 + t^4.944 + t^5.024 + t^5.104 + 3*t^5.183 + 3*t^5.263 + 2*t^5.343 + t^5.356 + 2*t^5.436 + t^5.681 + t^5.827 + t^5.84 + t^5.907 + t^5.92 + 2*t^5.987 - 3*t^6. + t^6.066 + 2*t^6.08 - t^6.093 + 3*t^6.16 + t^6.311 + t^6.391 + 2*t^6.47 + 2*t^6.55 + t^6.564 + 3*t^6.63 + t^6.644 - t^6.657 + 2*t^6.71 + 2*t^6.723 - t^6.737 + 2*t^6.79 + 3*t^6.803 + 4*t^6.883 + 2*t^6.976 + t^7.048 + 2*t^7.069 + t^7.127 + 2*t^7.207 + 3*t^7.287 + 4*t^7.367 + 5*t^7.447 - t^7.46 + 4*t^7.527 + 4*t^7.606 + 2*t^7.62 - t^7.633 + 3*t^7.7 + t^7.713 + t^7.784 + 3*t^7.793 + t^7.864 + t^7.931 + t^7.944 + t^8.01 + 2*t^8.024 + 2*t^8.09 - 2*t^8.104 + 2*t^8.17 - 2*t^8.183 - t^8.197 + 3*t^8.25 - 2*t^8.277 + 2*t^8.33 + 4*t^8.343 - 5*t^8.356 + t^8.414 + 3*t^8.423 + t^8.436 - t^8.45 + t^8.494 + 3*t^8.516 + t^8.521 + 2*t^8.574 + 2*t^8.654 + t^8.667 + t^8.681 + 4*t^8.734 + t^8.747 + 3*t^8.814 + 2*t^8.827 - 4*t^8.84 + 4*t^8.893 + 2*t^8.907 - t^8.92 + 2*t^8.973 + 4*t^8.987 - t^4.46/y - t^6.564/y - t^6.644/y + t^7.287/y - t^7.3/y + t^7.367/y + t^7.38/y + t^7.447/y + t^7.46/y + (2*t^7.62)/y + t^7.944/y + t^8.024/y + (2*t^8.104)/y + (3*t^8.183)/y + t^8.197/y + (3*t^8.263)/y + t^8.277/y + (2*t^8.343)/y + (2*t^8.356)/y + (2*t^8.436)/y - t^8.667/y - t^8.747/y + t^8.84/y + (2*t^8.907)/y + (2*t^8.92)/y + (2*t^8.987)/y - t^4.46*y - t^6.564*y - t^6.644*y + t^7.287*y - t^7.3*y + t^7.367*y + t^7.38*y + t^7.447*y + t^7.46*y + 2*t^7.62*y + t^7.944*y + t^8.024*y + 2*t^8.104*y + 3*t^8.183*y + t^8.197*y + 3*t^8.263*y + t^8.277*y + 2*t^8.343*y + 2*t^8.356*y + 2*t^8.436*y - t^8.667*y - t^8.747*y + t^8.84*y + 2*t^8.907*y + 2*t^8.92*y + 2*t^8.987*y | t^2.104/(g1^9*g2) + (g2^3*t^2.183)/g1^5 + (g2^7*t^2.263)/g1 + (g1^7*t^2.356)/g2 + t^2.84/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.08 + (g2^5*t^3.723)/g1^3 + g1*g2^9*t^3.803 + t^4.207/(g1^18*g2^2) + (g2^2*t^4.287)/g1^14 + (2*g2^6*t^4.367)/g1^10 + (g2^10*t^4.447)/g1^6 + t^4.46/(g1^2*g2^2) + (2*g2^14*t^4.527)/g1^2 + g1^2*g2^2*t^4.54 + 2*g1^6*g2^6*t^4.62 + (2*g1^14*t^4.713)/g2^2 + t^4.944/(g1^17*g2^9) + t^5.024/(g1^13*g2^5) + t^5.104/(g1^9*g2) + (3*g2^3*t^5.183)/g1^5 + (3*g2^7*t^5.263)/g1 + 2*g1^3*g2^11*t^5.343 + (g1^7*t^5.356)/g2 + 2*g1^11*g2^3*t^5.436 + t^5.681/(g1^16*g2^16) + (g2^4*t^5.827)/g1^12 + t^5.84/(g1^8*g2^8) + (g2^8*t^5.907)/g1^8 + t^5.92/(g1^4*g2^4) + (2*g2^12*t^5.987)/g1^4 - 3*t^6. + g2^16*t^6.066 + 2*g1^4*g2^4*t^6.08 - (g1^8*t^6.093)/g2^8 + 3*g1^8*g2^8*t^6.16 + t^6.311/(g1^27*g2^3) + (g2*t^6.391)/g1^23 + (2*g2^5*t^6.47)/g1^19 + (2*g2^9*t^6.55)/g1^15 + t^6.564/(g1^11*g2^3) + (3*g2^13*t^6.63)/g1^11 + (g2*t^6.644)/g1^7 - t^6.657/(g1^3*g2^11) + (2*g2^17*t^6.71)/g1^7 + (2*g2^5*t^6.723)/g1^3 - (g1*t^6.737)/g2^7 + (2*g2^21*t^6.79)/g1^3 + 3*g1*g2^9*t^6.803 + 4*g1^5*g2^13*t^6.883 + 2*g1^13*g2^5*t^6.976 + t^7.048/(g1^26*g2^10) + (2*g1^21*t^7.069)/g2^3 + t^7.127/(g1^22*g2^6) + (2*t^7.207)/(g1^18*g2^2) + (3*g2^2*t^7.287)/g1^14 + (4*g2^6*t^7.367)/g1^10 + (5*g2^10*t^7.447)/g1^6 - t^7.46/(g1^2*g2^2) + (4*g2^14*t^7.527)/g1^2 + 4*g1^2*g2^18*t^7.606 + 2*g1^6*g2^6*t^7.62 - (g1^10*t^7.633)/g2^6 + 3*g1^10*g2^10*t^7.7 + (g1^14*t^7.713)/g2^2 + t^7.784/(g1^25*g2^17) + 3*g1^18*g2^2*t^7.793 + t^7.864/(g1^21*g2^13) + (g2^3*t^7.931)/g1^21 + t^7.944/(g1^17*g2^9) + (g2^7*t^8.01)/g1^17 + (2*t^8.024)/(g1^13*g2^5) + (2*g2^11*t^8.09)/g1^13 - (2*t^8.104)/(g1^9*g2) + (2*g2^15*t^8.17)/g1^9 - (2*g2^3*t^8.183)/g1^5 - t^8.197/(g1*g2^9) + (3*g2^19*t^8.25)/g1^5 - (2*g1^3*t^8.277)/g2^5 + (2*g2^23*t^8.33)/g1 + 4*g1^3*g2^11*t^8.343 - (5*g1^7*t^8.356)/g2 + t^8.414/(g1^36*g2^4) + 3*g1^7*g2^15*t^8.423 + g1^11*g2^3*t^8.436 - (g1^15*t^8.45)/g2^9 + t^8.494/g1^32 + 3*g1^15*g2^7*t^8.516 + t^8.521/(g1^24*g2^24) + (2*g2^4*t^8.574)/g1^28 + (2*g2^8*t^8.654)/g1^24 + t^8.667/(g1^20*g2^4) + t^8.681/(g1^16*g2^16) + (4*g2^12*t^8.734)/g1^20 + t^8.747/g1^16 + (3*g2^16*t^8.814)/g1^16 + (2*g2^4*t^8.827)/g1^12 - (4*t^8.84)/(g1^8*g2^8) + (4*g2^20*t^8.893)/g1^12 + (2*g2^8*t^8.907)/g1^8 - t^8.92/(g1^4*g2^4) + (2*g2^24*t^8.973)/g1^8 + (4*g2^12*t^8.987)/g1^4 - t^4.46/(g1^2*g2^2*y) - t^6.564/(g1^11*g2^3*y) - (g2*t^6.644)/(g1^7*y) + (g2^2*t^7.287)/(g1^14*y) - t^7.3/(g1^10*g2^10*y) + (g2^6*t^7.367)/(g1^10*y) + t^7.38/(g1^6*g2^6*y) + (g2^10*t^7.447)/(g1^6*y) + t^7.46/(g1^2*g2^2*y) + (2*g1^6*g2^6*t^7.62)/y + t^7.944/(g1^17*g2^9*y) + t^8.024/(g1^13*g2^5*y) + (2*t^8.104)/(g1^9*g2*y) + (3*g2^3*t^8.183)/(g1^5*y) + t^8.197/(g1*g2^9*y) + (3*g2^7*t^8.263)/(g1*y) + (g1^3*t^8.277)/(g2^5*y) + (2*g1^3*g2^11*t^8.343)/y + (2*g1^7*t^8.356)/(g2*y) + (2*g1^11*g2^3*t^8.436)/y - t^8.667/(g1^20*g2^4*y) - t^8.747/(g1^16*y) + t^8.84/(g1^8*g2^8*y) + (2*g2^8*t^8.907)/(g1^8*y) + (2*t^8.92)/(g1^4*g2^4*y) + (2*g2^12*t^8.987)/(g1^4*y) - (t^4.46*y)/(g1^2*g2^2) - (t^6.564*y)/(g1^11*g2^3) - (g2*t^6.644*y)/g1^7 + (g2^2*t^7.287*y)/g1^14 - (t^7.3*y)/(g1^10*g2^10) + (g2^6*t^7.367*y)/g1^10 + (t^7.38*y)/(g1^6*g2^6) + (g2^10*t^7.447*y)/g1^6 + (t^7.46*y)/(g1^2*g2^2) + 2*g1^6*g2^6*t^7.62*y + (t^7.944*y)/(g1^17*g2^9) + (t^8.024*y)/(g1^13*g2^5) + (2*t^8.104*y)/(g1^9*g2) + (3*g2^3*t^8.183*y)/g1^5 + (t^8.197*y)/(g1*g2^9) + (3*g2^7*t^8.263*y)/g1 + (g1^3*t^8.277*y)/g2^5 + 2*g1^3*g2^11*t^8.343*y + (2*g1^7*t^8.356*y)/g2 + 2*g1^11*g2^3*t^8.436*y - (t^8.667*y)/(g1^20*g2^4) - (t^8.747*y)/g1^16 + (t^8.84*y)/(g1^8*g2^8) + (2*g2^8*t^8.907*y)/g1^8 + (2*t^8.92*y)/(g1^4*g2^4) + (2*g2^12*t^8.987*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
2893 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[1.0, 1.0275, 0.945, 1.0275, 0.7294, 0.7019], q:[0.7569, 0.2431], qb:[0.5413, 0.5138], phi:[0.4862]] | t^2.106 + t^2.188 + t^2.271 + t^2.353 + t^2.835 + t^3. + 2*t^3.083 + t^3.729 + t^3.812 + t^4.211 + t^4.294 + 2*t^4.376 + 2*t^4.459 + 3*t^4.541 + 2*t^4.624 + 2*t^4.706 + t^4.941 + t^5.023 + t^5.106 + 3*t^5.188 + 3*t^5.271 + 3*t^5.353 + 2*t^5.436 + t^5.67 + 2*t^5.835 + 2*t^5.917 - t^6. - t^4.459/y - t^4.459*y | detail | |
2892 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.625 | 0.8101 | 0.7715 | [M:[1.0, 1.0193, 0.9615, 1.0193, 0.7548, 0.7356], q:[0.7548, 0.2452], qb:[0.5096, 0.5289], phi:[0.4904]] | t^2.207 + 2*t^2.264 + t^2.322 + t^2.884 + t^3. + 2*t^3.058 + t^3.793 + t^3.851 + t^4.413 + 2*t^4.471 + 5*t^4.529 + 3*t^4.587 + 2*t^4.644 + t^5.091 + t^5.149 + t^5.207 + 4*t^5.264 + 5*t^5.322 + 2*t^5.38 + t^5.769 + t^5.884 - 2*t^6. - t^4.471/y - t^4.471*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 |
---|---|---|---|---|---|---|---|---|---|
523 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.405 + t^4.469 + t^4.532 + 2*t^4.533 + 2*t^4.596 + 2*t^4.659 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - 3*t^6. - t^4.468/y - t^4.468*y | detail |