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 |
---|---|---|---|---|---|---|---|---|---|
3855 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6362 | 0.7875 | 0.8079 | [X:[1.6136], M:[0.8409, 0.7046, 1.1591, 0.3864, 0.8409, 0.7387, 1.2273], q:[0.4034, 0.7557], qb:[0.4375, 0.8579], phi:[0.3864]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [12], [-18], [8]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.114 + t^2.216 + 2*t^2.523 + 2*t^3.58 + 2*t^3.682 + t^3.784 + t^4.228 + t^4.33 + t^4.432 + 2*t^4.636 + 2*t^4.739 + t^4.841 + 3*t^5.045 + 2*t^5.693 + 3*t^5.796 + t^5.898 - 2*t^6. + 2*t^6.102 + 3*t^6.204 + 2*t^6.307 + t^6.341 + t^6.444 + t^6.546 + t^6.648 + 2*t^6.75 + 2*t^6.852 + 2*t^6.955 - t^7.057 + 3*t^7.159 + 3*t^7.261 + 3*t^7.364 + 4*t^7.568 + 2*t^7.807 + 3*t^7.909 + 2*t^8.012 - 2*t^8.114 + 3*t^8.318 + t^8.42 + t^8.455 - 4*t^8.523 + t^8.557 + t^8.625 + t^8.66 + 3*t^8.727 + t^8.762 + 3*t^8.829 + 3*t^8.864 + 2*t^8.966 - t^4.159/y - t^6.273/y - t^6.375/y - t^6.682/y + t^7.33/y + (3*t^7.636)/y + (2*t^7.739)/y + t^7.943/y + (2*t^8.045)/y - t^8.387/y - t^8.489/y - t^8.591/y + (2*t^8.693)/y + (3*t^8.796)/y + (2*t^8.898)/y - t^4.159*y - t^6.273*y - t^6.375*y - t^6.682*y + t^7.33*y + 3*t^7.636*y + 2*t^7.739*y + t^7.943*y + 2*t^8.045*y - t^8.387*y - t^8.489*y - t^8.591*y + 2*t^8.693*y + 3*t^8.796*y + 2*t^8.898*y | t^2.114/g1^28 + t^2.216/g1^18 + 2*g1^12*t^2.523 + (2*t^3.58)/g1^2 + 2*g1^8*t^3.682 + g1^18*t^3.784 + t^4.228/g1^56 + t^4.33/g1^46 + t^4.432/g1^36 + (2*t^4.636)/g1^16 + (2*t^4.739)/g1^6 + g1^4*t^4.841 + 3*g1^24*t^5.045 + (2*t^5.693)/g1^30 + (3*t^5.796)/g1^20 + t^5.898/g1^10 - 2*t^6. + 2*g1^10*t^6.102 + 3*g1^20*t^6.204 + 2*g1^30*t^6.307 + t^6.341/g1^84 + t^6.444/g1^74 + t^6.546/g1^64 + t^6.648/g1^54 + (2*t^6.75)/g1^44 + (2*t^6.852)/g1^34 + (2*t^6.955)/g1^24 - t^7.057/g1^14 + (3*t^7.159)/g1^4 + 3*g1^6*t^7.261 + 3*g1^16*t^7.364 + 4*g1^36*t^7.568 + (2*t^7.807)/g1^58 + (3*t^7.909)/g1^48 + (2*t^8.012)/g1^38 - (2*t^8.114)/g1^28 + (3*t^8.318)/g1^8 + g1^2*t^8.42 + t^8.455/g1^112 - 4*g1^12*t^8.523 + t^8.557/g1^102 + g1^22*t^8.625 + t^8.66/g1^92 + 3*g1^32*t^8.727 + t^8.762/g1^82 + 3*g1^42*t^8.829 + (3*t^8.864)/g1^72 + (2*t^8.966)/g1^62 - t^4.159/(g1^4*y) - t^6.273/(g1^32*y) - t^6.375/(g1^22*y) - (g1^8*t^6.682)/y + t^7.33/(g1^46*y) + (3*t^7.636)/(g1^16*y) + (2*t^7.739)/(g1^6*y) + (g1^14*t^7.943)/y + (2*g1^24*t^8.045)/y - t^8.387/(g1^60*y) - t^8.489/(g1^50*y) - t^8.591/(g1^40*y) + (2*t^8.693)/(g1^30*y) + (3*t^8.796)/(g1^20*y) + (2*t^8.898)/(g1^10*y) - (t^4.159*y)/g1^4 - (t^6.273*y)/g1^32 - (t^6.375*y)/g1^22 - g1^8*t^6.682*y + (t^7.33*y)/g1^46 + (3*t^7.636*y)/g1^16 + (2*t^7.739*y)/g1^6 + g1^14*t^7.943*y + 2*g1^24*t^8.045*y - (t^8.387*y)/g1^60 - (t^8.489*y)/g1^50 - (t^8.591*y)/g1^40 + (2*t^8.693*y)/g1^30 + (3*t^8.796*y)/g1^20 + (2*t^8.898*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
5444 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.5639 | 0.7107 | 0.7935 | [X:[1.5652], M:[0.6957, 1.0435, 1.3043, 0.4348, 0.6957, 0.9565, 1.1304], q:[0.3913, 0.913], qb:[0.3043, 0.6522], phi:[0.4348]] | 2*t^2.087 + t^2.87 + 2*t^3.13 + 2*t^3.391 + 2*t^3.652 + 3*t^4.174 + t^4.696 + 2*t^4.957 + 4*t^5.217 + 3*t^5.478 + 3*t^5.739 - t^6. - t^4.304/y - t^4.304*y | detail | {a: 54891/97336, c: 34587/48668, X1: 36/23, M1: 16/23, M2: 24/23, M3: 30/23, M4: 10/23, M5: 16/23, M6: 22/23, M7: 26/23, q1: 9/23, q2: 21/23, qb1: 7/23, qb2: 15/23, phi1: 10/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
3381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6543 | 0.8201 | 0.7978 | [X:[1.615], M:[0.8451, 0.6947, 1.1549, 0.385, 0.8451, 0.7323], q:[0.4038, 0.7511], qb:[0.4414, 0.8639], phi:[0.385]] | t^2.084 + t^2.197 + t^2.31 + 2*t^2.535 + 2*t^3.577 + t^3.69 + t^3.803 + t^4.168 + t^4.281 + 2*t^4.394 + t^4.507 + 3*t^4.619 + 2*t^4.732 + 3*t^4.845 + 3*t^5.071 + 2*t^5.662 + 2*t^5.774 + 2*t^5.887 - t^6. - t^4.155/y - t^4.155*y | detail |