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 |
---|---|---|---|---|---|---|---|---|---|
4207 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}X_{1}$ + ${ }M_{4}X_{2}$ | 0.6026 | 0.7461 | 0.8076 | [X:[1.6046, 1.3764], M:[1.0799, 1.1483, 0.7529, 0.6236, 0.9506, 1.0494, 0.3954, 0.8517], q:[0.7871, 0.2624], qb:[0.6578, 0.5894], phi:[0.4259]] | [X:[[32], [10]], M:[[34], [-12], [20], [-10], [4], [-4], [-32], [12]], q:[[-3], [-1]], qb:[[-33], [13]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.259 + 2*t^2.555 + t^2.852 + t^3.148 + t^3.24 + t^3.833 + t^4.038 + t^4.129 + t^4.335 + t^4.517 + 2*t^4.814 + 4*t^5.11 + t^5.224 + 3*t^5.407 + t^5.498 + 2*t^5.703 + t^5.795 - 2*t^6. + t^6.091 - t^6.205 + 3*t^6.388 + t^6.479 + t^6.593 + 2*t^6.684 + t^6.776 + t^6.89 + 2*t^7.072 - t^7.278 + 5*t^7.369 - t^7.574 + 7*t^7.665 + t^7.757 + t^7.779 - t^7.871 + 5*t^7.962 + 2*t^8.053 + t^8.076 + t^8.259 + 2*t^8.35 + t^8.373 - 4*t^8.555 + 3*t^8.646 + t^8.738 - 2*t^8.76 - 4*t^8.852 + 5*t^8.943 - t^4.278/y - t^6.536/y - t^6.833/y + t^7.038/y - t^7.517/y + t^7.722/y + (2*t^7.814)/y + t^8.019/y + (2*t^8.11)/y + (3*t^8.407)/y + t^8.498/y + (2*t^8.703)/y + t^8.795/y - t^4.278*y - t^6.536*y - t^6.833*y + t^7.038*y - t^7.517*y + t^7.722*y + 2*t^7.814*y + t^8.019*y + 2*t^8.11*y + 3*t^8.407*y + t^8.498*y + 2*t^8.703*y + t^8.795*y | g1^20*t^2.259 + 2*g1^12*t^2.555 + g1^4*t^2.852 + t^3.148/g1^4 + g1^34*t^3.24 + g1^18*t^3.833 + t^4.038/g1^28 + g1^10*t^4.129 + t^4.335/g1^36 + g1^40*t^4.517 + 2*g1^32*t^4.814 + 4*g1^24*t^5.11 + t^5.224/g1^60 + 3*g1^16*t^5.407 + g1^54*t^5.498 + 2*g1^8*t^5.703 + g1^46*t^5.795 - 2*t^6. + g1^38*t^6.091 - t^6.205/g1^46 + 3*g1^30*t^6.388 + g1^68*t^6.479 + t^6.593/g1^16 + 2*g1^22*t^6.684 + g1^60*t^6.776 + t^6.89/g1^24 + 2*g1^52*t^7.072 - g1^6*t^7.278 + 5*g1^44*t^7.369 - t^7.574/g1^2 + 7*g1^36*t^7.665 + g1^74*t^7.757 + t^7.779/g1^48 - t^7.871/g1^10 + 5*g1^28*t^7.962 + 2*g1^66*t^8.053 + t^8.076/g1^56 + g1^20*t^8.259 + 2*g1^58*t^8.35 + t^8.373/g1^64 - 4*g1^12*t^8.555 + 3*g1^50*t^8.646 + g1^88*t^8.738 - (2*t^8.76)/g1^34 - 4*g1^4*t^8.852 + 5*g1^42*t^8.943 - (g1^6*t^4.278)/y - (g1^26*t^6.536)/y - (g1^18*t^6.833)/y + t^7.038/(g1^28*y) - (g1^40*t^7.517)/y + t^7.722/(g1^6*y) + (2*g1^32*t^7.814)/y + t^8.019/(g1^14*y) + (2*g1^24*t^8.11)/y + (3*g1^16*t^8.407)/y + (g1^54*t^8.498)/y + (2*g1^8*t^8.703)/y + (g1^46*t^8.795)/y - g1^6*t^4.278*y - g1^26*t^6.536*y - g1^18*t^6.833*y + (t^7.038*y)/g1^28 - g1^40*t^7.517*y + (t^7.722*y)/g1^6 + 2*g1^32*t^7.814*y + (t^8.019*y)/g1^14 + 2*g1^24*t^8.11*y + 3*g1^16*t^8.407*y + g1^54*t^8.498*y + 2*g1^8*t^8.703*y + g1^46*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 |
---|---|---|---|---|---|---|---|---|
5704 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}X_{1}$ + ${ }M_{4}X_{2}$ + ${ }M_{5}M_{9}$ | 0.598 | 0.7382 | 0.8101 | [X:[1.6118, 1.3787], M:[1.0876, 1.1456, 0.7574, 0.6213, 0.9515, 1.0485, 0.3882, 0.8544, 1.0485], q:[0.7864, 0.2621], qb:[0.6503, 0.5923], phi:[0.4272]] | t^2.272 + 2*t^2.563 + 2*t^3.146 + t^3.263 + t^3.845 + t^4.019 + t^4.136 + t^4.31 + t^4.544 + 2*t^4.835 + 3*t^5.127 + t^5.184 + 2*t^5.418 + t^5.535 + 3*t^5.709 + t^5.826 - 3*t^6. - t^4.282/y - t^4.282*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 |
---|---|---|---|---|---|---|---|---|---|
2207 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ | 0.7372 | 0.9444 | 0.7806 | [M:[0.9725, 1.1233, 0.9725, 0.7808, 0.7808, 0.685, 0.685, 0.8767], q:[0.7808, 0.4383], qb:[0.5891, 0.4383], phi:[0.4383]] | 2*t^2.055 + 2*t^2.342 + 2*t^2.63 + 2*t^2.918 + t^3.945 + 4*t^4.11 + 6*t^4.397 + 7*t^4.685 + t^4.85 + 8*t^4.973 + 7*t^5.26 + 2*t^5.548 + 3*t^5.835 - 3*t^6. - t^4.315/y - t^4.315*y | detail |