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 |
---|---|---|---|---|---|---|---|---|---|
54969 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.0, 0.8459, 0.7442, 0.8983, 1.1279], q:[0.3721, 0.4738], qb:[0.6279, 0.782], phi:[0.436]] | [M:[[-3], [0], [3], [-8], [-11], [4]], q:[[-4], [7]], qb:[[4], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$ | ${}$ | -1 | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. + 2*t^6.079 + t^6.157 + t^6.236 - t^6.305 + 2*t^6.384 + 2*t^6.541 + t^6.689 + t^6.698 + 2*t^6.846 + t^6.924 + 2*t^7.003 + t^7.081 + t^7.151 + t^7.16 + 2*t^7.308 + t^7.387 + t^7.465 + 2*t^7.613 + t^7.622 + 2*t^7.692 + t^7.77 + 2*t^7.849 + t^7.927 + t^7.997 + t^8.006 + t^8.084 + t^8.154 - 2*t^8.233 + t^8.302 + 2*t^8.311 + t^8.39 + 2*t^8.459 + t^8.468 - 2*t^8.538 + 3*t^8.616 - 2*t^8.695 + t^8.764 + 2*t^8.773 - t^8.843 + t^8.852 + t^8.921 + 2*t^8.93 - t^4.308/y - t^6.541/y - t^7.003/y + t^7.613/y + t^7.77/y + t^7.927/y + t^8.076/y + (2*t^8.233)/y + t^8.538/y + t^8.616/y + (2*t^8.695)/y + t^8.921/y - t^4.308*y - t^6.541*y - t^7.003*y + t^7.613*y + t^7.77*y + t^7.927*y + t^8.076*y + 2*t^8.233*y + t^8.538*y + t^8.616*y + 2*t^8.695*y + t^8.921*y | t^2.233/g1^8 + g1^3*t^2.538 + t^2.695/g1^11 + t^3. + g1^4*t^3.384 + t^3.462/g1^3 + t^3.541/g1^10 + g1*t^3.846 + g1^12*t^4.151 + g1^5*t^4.23 + t^4.308/g1^2 + t^4.465/g1^16 + g1^9*t^4.613 + t^4.77/g1^5 + t^4.927/g1^19 + 2*g1^6*t^5.076 + t^5.233/g1^8 + t^5.39/g1^22 + t^5.616/g1^4 + t^5.695/g1^11 + t^5.773/g1^18 + g1^7*t^5.921 - t^6. + (2*t^6.079)/g1^7 + t^6.157/g1^14 + t^6.236/g1^21 - g1^11*t^6.305 + 2*g1^4*t^6.384 + (2*t^6.541)/g1^10 + g1^15*t^6.689 + t^6.698/g1^24 + 2*g1*t^6.846 + t^6.924/g1^6 + (2*t^7.003)/g1^13 + t^7.081/g1^20 + g1^12*t^7.151 + t^7.16/g1^27 + (2*t^7.308)/g1^2 + t^7.387/g1^9 + t^7.465/g1^16 + 2*g1^9*t^7.613 + t^7.622/g1^30 + 2*g1^2*t^7.692 + t^7.77/g1^5 + (2*t^7.849)/g1^12 + t^7.927/g1^19 + g1^13*t^7.997 + t^8.006/g1^26 + t^8.084/g1^33 + t^8.154/g1 - (2*t^8.233)/g1^8 + g1^24*t^8.302 + (2*t^8.311)/g1^15 + t^8.39/g1^22 + 2*g1^10*t^8.459 + t^8.468/g1^29 - 2*g1^3*t^8.538 + (3*t^8.616)/g1^4 - (2*t^8.695)/g1^11 + g1^21*t^8.764 + (2*t^8.773)/g1^18 - g1^14*t^8.843 + t^8.852/g1^25 + g1^7*t^8.921 + (2*t^8.93)/g1^32 - t^4.308/(g1^2*y) - t^6.541/(g1^10*y) - t^7.003/(g1^13*y) + (g1^9*t^7.613)/y + t^7.77/(g1^5*y) + t^7.927/(g1^19*y) + (g1^6*t^8.076)/y + (2*t^8.233)/(g1^8*y) + (g1^3*t^8.538)/y + t^8.616/(g1^4*y) + (2*t^8.695)/(g1^11*y) + (g1^7*t^8.921)/y - (t^4.308*y)/g1^2 - (t^6.541*y)/g1^10 - (t^7.003*y)/g1^13 + g1^9*t^7.613*y + (t^7.77*y)/g1^5 + (t^7.927*y)/g1^19 + g1^6*t^8.076*y + (2*t^8.233*y)/g1^8 + g1^3*t^8.538*y + (t^8.616*y)/g1^4 + (2*t^8.695*y)/g1^11 + g1^7*t^8.921*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 |
---|---|---|---|---|---|---|---|---|
56754 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6715 | 0.8316 | 0.8075 | [M:[1.1574, 1.0, 0.8426, 0.7531, 0.9105, 1.1235, 0.8426], q:[0.3765, 0.4661], qb:[0.6235, 0.7809], phi:[0.4383]] | t^2.259 + 2*t^2.528 + t^2.731 + t^3. + t^3.37 + t^3.574 + t^3.843 + t^4.111 + t^4.213 + t^4.315 + t^4.518 + t^4.583 + 2*t^4.787 + t^4.991 + 4*t^5.056 + 2*t^5.259 + t^5.463 + t^5.528 + t^5.63 + t^5.833 + 2*t^5.898 - 2*t^6. - t^4.315/y - t^4.315*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46965 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7134 | 0.8733 | 0.8168 | [M:[0.9756, 1.0, 1.0244, 0.86, 0.8356, 1.07], q:[0.43, 0.5944], qb:[0.57, 0.5455], phi:[0.465]] | t^2.507 + t^2.58 + t^2.927 + t^3. + t^3.073 + t^3.21 + t^3.347 + t^3.975 + t^4.322 + t^4.395 + t^4.468 + t^4.668 + t^4.742 + 2*t^4.815 + t^4.888 + t^4.962 + t^5.014 + t^5.087 + t^5.16 + t^5.433 + t^5.507 + t^5.58 + t^5.717 + t^5.79 + t^5.853 - 2*t^6. - t^4.395/y - t^4.395*y | detail |