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 |
---|---|---|---|---|---|---|---|---|---|
57038 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7155 | 0.9254 | 0.7732 | [M:[1.0567, 0.7167, 0.83, 1.17, 0.83, 0.6799, 0.7167], q:[0.5191, 0.4242], qb:[0.7642, 0.4058], phi:[0.4717]] | [M:[[4], [-20], [-12], [12], [-12], [48], [-20]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.04 + 2*t^2.15 + 2*t^2.49 + t^2.775 + t^2.83 + t^3.17 + t^3.565 + t^3.905 + t^4.08 + 3*t^4.19 + t^4.245 + 3*t^4.3 + 3*t^4.53 + 4*t^4.64 + t^4.815 + t^4.87 + 2*t^4.925 + 5*t^4.98 + t^5.21 + 2*t^5.265 + 4*t^5.32 + t^5.55 + 2*t^5.605 + 2*t^5.66 + t^5.715 + t^5.945 - 2*t^6. + 3*t^6.055 + t^6.119 + 3*t^6.23 + 4*t^6.34 + 4*t^6.395 + 4*t^6.45 + 3*t^6.57 + 7*t^6.68 + 2*t^6.735 + 6*t^6.79 + t^6.855 + t^6.91 + 3*t^6.965 + 6*t^7.02 + 2*t^7.075 + 8*t^7.13 + t^7.25 + 3*t^7.305 + 4*t^7.36 + t^7.415 + 10*t^7.47 + t^7.59 + 2*t^7.645 + 2*t^7.7 + 4*t^7.755 + 7*t^7.81 + t^7.865 + t^7.985 - t^8.04 + 4*t^8.095 - 2*t^8.15 + t^8.159 + 3*t^8.205 + 3*t^8.27 + t^8.325 + 5*t^8.38 + 2*t^8.435 + 7*t^8.545 + 5*t^8.6 + 3*t^8.61 + 8*t^8.72 - 2*t^8.775 + 5*t^8.83 + 6*t^8.885 + t^8.894 + 8*t^8.94 + t^8.949 - t^4.415/y - t^6.455/y - (2*t^6.565)/y - t^6.905/y + (2*t^7.19)/y + t^7.3/y + (2*t^7.53)/y + (4*t^7.64)/y + t^7.815/y + t^7.87/y + (3*t^7.925)/y + (3*t^7.98)/y + t^8.21/y + (4*t^8.265)/y + (4*t^8.32)/y + t^8.375/y - t^8.495/y + (2*t^8.66)/y - t^8.715/y + t^8.945/y - t^4.415*y - t^6.455*y - 2*t^6.565*y - t^6.905*y + 2*t^7.19*y + t^7.3*y + 2*t^7.53*y + 4*t^7.64*y + t^7.815*y + t^7.87*y + 3*t^7.925*y + 3*t^7.98*y + t^8.21*y + 4*t^8.265*y + 4*t^8.32*y + t^8.375*y - t^8.495*y + 2*t^8.66*y - t^8.715*y + t^8.945*y | g1^48*t^2.04 + (2*t^2.15)/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.775 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.565/g1^22 + t^3.905/g1^14 + g1^96*t^4.08 + 3*g1^28*t^4.19 + t^4.245/g1^6 + (3*t^4.3)/g1^40 + 3*g1^36*t^4.53 + (4*t^4.64)/g1^32 + g1^78*t^4.815 + g1^44*t^4.87 + 2*g1^10*t^4.925 + (5*t^4.98)/g1^24 + g1^52*t^5.21 + 2*g1^18*t^5.265 + (4*t^5.32)/g1^16 + g1^60*t^5.55 + 2*g1^26*t^5.605 + (2*t^5.66)/g1^8 + t^5.715/g1^42 + g1^34*t^5.945 - 2*t^6. + (3*t^6.055)/g1^34 + g1^144*t^6.119 + 3*g1^76*t^6.23 + 4*g1^8*t^6.34 + (4*t^6.395)/g1^26 + (4*t^6.45)/g1^60 + 3*g1^84*t^6.57 + 7*g1^16*t^6.68 + (2*t^6.735)/g1^18 + (6*t^6.79)/g1^52 + g1^126*t^6.855 + g1^92*t^6.91 + 3*g1^58*t^6.965 + 6*g1^24*t^7.02 + (2*t^7.075)/g1^10 + (8*t^7.13)/g1^44 + g1^100*t^7.25 + 3*g1^66*t^7.305 + 4*g1^32*t^7.36 + t^7.415/g1^2 + (10*t^7.47)/g1^36 + g1^108*t^7.59 + 2*g1^74*t^7.645 + 2*g1^40*t^7.7 + 4*g1^6*t^7.755 + (7*t^7.81)/g1^28 + t^7.865/g1^62 + g1^82*t^7.985 - g1^48*t^8.04 + 4*g1^14*t^8.095 - (2*t^8.15)/g1^20 + g1^192*t^8.159 + (3*t^8.205)/g1^54 + 3*g1^124*t^8.27 + g1^90*t^8.325 + 5*g1^56*t^8.38 + 2*g1^22*t^8.435 + (7*t^8.545)/g1^46 + (5*t^8.6)/g1^80 + 3*g1^132*t^8.61 + 8*g1^64*t^8.72 - 2*g1^30*t^8.775 + (5*t^8.83)/g1^4 + (6*t^8.885)/g1^38 + g1^174*t^8.894 + (8*t^8.94)/g1^72 + g1^140*t^8.949 - t^4.415/(g1^2*y) - (g1^46*t^6.455)/y - (2*t^6.565)/(g1^22*y) - t^6.905/(g1^14*y) + (2*g1^28*t^7.19)/y + t^7.3/(g1^40*y) + (2*g1^36*t^7.53)/y + (4*t^7.64)/(g1^32*y) + (g1^78*t^7.815)/y + (g1^44*t^7.87)/y + (3*g1^10*t^7.925)/y + (3*t^7.98)/(g1^24*y) + (g1^52*t^8.21)/y + (4*g1^18*t^8.265)/y + (4*t^8.32)/(g1^16*y) + t^8.375/(g1^50*y) - (g1^94*t^8.495)/y + (2*t^8.66)/(g1^8*y) - t^8.715/(g1^42*y) + (g1^34*t^8.945)/y - (t^4.415*y)/g1^2 - g1^46*t^6.455*y - (2*t^6.565*y)/g1^22 - (t^6.905*y)/g1^14 + 2*g1^28*t^7.19*y + (t^7.3*y)/g1^40 + 2*g1^36*t^7.53*y + (4*t^7.64*y)/g1^32 + g1^78*t^7.815*y + g1^44*t^7.87*y + 3*g1^10*t^7.925*y + (3*t^7.98*y)/g1^24 + g1^52*t^8.21*y + 4*g1^18*t^8.265*y + (4*t^8.32*y)/g1^16 + (t^8.375*y)/g1^50 - g1^94*t^8.495*y + (2*t^8.66*y)/g1^8 - (t^8.715*y)/g1^42 + g1^34*t^8.945*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 |
---|---|---|---|---|---|---|---|---|
58673 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.715 | 0.9246 | 0.7733 | [M:[1.0588, 0.7059, 0.8235, 1.1765, 0.8235, 0.7059, 0.7059], q:[0.5294, 0.4118], qb:[0.7647, 0.4118], phi:[0.4706]] | 3*t^2.118 + 2*t^2.471 + 2*t^2.824 + t^3.176 + t^3.529 + t^3.882 + 8*t^4.235 + 7*t^4.588 + 9*t^4.941 + 7*t^5.294 + 6*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 56205/78608, c: 36339/39304, M1: 18/17, M2: 12/17, M3: 14/17, M4: 20/17, M5: 14/17, M6: 12/17, M7: 12/17, q1: 9/17, q2: 7/17, qb1: 13/17, qb2: 7/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
55485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6954 | 0.8879 | 0.7832 | [M:[1.056, 0.7198, 0.8319, 1.1681, 0.8319, 0.6725], q:[0.5162, 0.4278], qb:[0.764, 0.4041], phi:[0.472]] | t^2.017 + t^2.159 + 2*t^2.496 + t^2.761 + t^2.832 + t^3.168 + t^3.575 + t^3.841 + t^3.912 + t^4.035 + 2*t^4.177 + t^4.248 + t^4.319 + 3*t^4.513 + 2*t^4.655 + t^4.778 + t^4.849 + t^4.92 + 4*t^4.991 + t^5.186 + 2*t^5.257 + 3*t^5.328 + t^5.522 + 2*t^5.593 + 2*t^5.664 + t^5.858 + t^5.929 - t^6. - t^4.416/y - t^4.416*y | detail |