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 |
---|---|---|---|---|---|---|---|---|---|
60193 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3787 | 1.5519 | 0.8884 | [X:[1.3977], M:[0.7455, 1.0965], q:[0.4659, 0.7671], qb:[0.4875, 0.4726], phi:[0.3012]] | [X:[[0, 6]], M:[[1, -16], [0, 9]], q:[[0, 2], [0, -1]], qb:[[-1, 17], [1, 0]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.24 + t^2.82 + t^2.86 + t^3.29 + 2*t^3.72 + t^3.76 + t^4.19 + t^4.47 + 2*t^4.62 + 2*t^4.67 + t^5.05 + t^5.2 + t^5.25 + 2*t^5.53 + t^5.57 + t^5.63 + t^5.68 + t^5.72 + t^5.96 - 3*t^6. - t^6.04 + 2*t^6.1 + 2*t^6.15 + t^6.43 + 2*t^6.53 + 3*t^6.58 + t^6.62 + t^6.71 + t^6.86 - t^6.95 + t^6.96 + 4*t^7.01 + 3*t^7.05 + t^7.1 + t^7.29 + 5*t^7.44 + 5*t^7.48 + 2*t^7.53 + t^7.76 - t^7.85 + t^7.87 + 3*t^7.91 + 2*t^7.96 + t^8.02 + 2*t^8.06 + t^8.11 + t^8.19 - 4*t^8.24 - 2*t^8.28 + 5*t^8.34 + 5*t^8.39 + t^8.43 + t^8.45 + 2*t^8.49 + 2*t^8.54 + t^8.58 + t^8.67 + t^8.71 + t^8.77 - 2*t^8.82 - 3*t^8.86 - t^8.9 + 4*t^8.92 + t^8.95 + 5*t^8.96 + t^8.71/y^2 - t^3.9/y - t^4.81/y - t^6.14/y - t^6.72/y - t^6.76/y - t^7.04/y - t^7.19/y - (2*t^7.62)/y - t^7.67/y + t^8.05/y - t^8.38/y - t^8.53/y - t^8.57/y + t^8.68/y + t^8.96/y - t^3.9*y - t^4.81*y - t^6.14*y - t^6.72*y - t^6.76*y - t^7.04*y - t^7.19*y - 2*t^7.62*y - t^7.67*y + t^8.05*y - t^8.38*y - t^8.53*y - t^8.57*y + t^8.68*y + t^8.96*y + t^8.71*y^2 | (g1*t^2.24)/g2^16 + g1*g2^2*t^2.82 + (g2^19*t^2.86)/g1 + g2^9*t^3.29 + (2*g1*t^3.72)/g2 + (g2^16*t^3.76)/g1 + g2^6*t^4.19 + (g1^2*t^4.47)/g2^32 + (2*g1*t^4.62)/g2^4 + (2*g2^13*t^4.67)/g1 + (g1^2*t^5.05)/g2^14 + g1*g2^14*t^5.2 + (g2^31*t^5.25)/g1 + (2*g1*t^5.53)/g2^7 + (g2^10*t^5.57)/g1 + g1^2*g2^4*t^5.63 + g2^21*t^5.68 + (g2^38*t^5.72)/g1^2 + (g1^2*t^5.96)/g2^17 - 3*t^6. - (g2^17*t^6.04)/g1^2 + 2*g1*g2^11*t^6.1 + (2*g2^28*t^6.15)/g1 + (g1*t^6.43)/g2^10 + 2*g1^2*g2*t^6.53 + 3*g2^18*t^6.58 + (g2^35*t^6.62)/g1^2 + (g1^3*t^6.71)/g2^48 + (g1^2*t^6.86)/g2^20 - (g2^14*t^6.95)/g1^2 + (g1^3*t^6.96)/g2^9 + 4*g1*g2^8*t^7.01 + (3*g2^25*t^7.05)/g1 + (g2^42*t^7.1)/g1^3 + (g1^3*t^7.29)/g2^30 + (5*g1^2*t^7.44)/g2^2 + 5*g2^15*t^7.48 + (2*g2^32*t^7.53)/g1^2 + (g1^2*t^7.76)/g2^23 - (g2^11*t^7.85)/g1^2 + (g1^3*t^7.87)/g2^12 + 3*g1*g2^5*t^7.91 + (2*g2^22*t^7.96)/g1 + g1^2*g2^16*t^8.02 + 2*g2^33*t^8.06 + (g2^50*t^8.11)/g1^2 + (g1^3*t^8.19)/g2^33 - (4*g1*t^8.24)/g2^16 - (2*g2*t^8.28)/g1 + (5*g1^2*t^8.34)/g2^5 + 5*g2^12*t^8.39 + (g2^29*t^8.43)/g1^2 + g1^3*g2^6*t^8.45 + 2*g1*g2^23*t^8.49 + (2*g2^40*t^8.54)/g1 + (g2^57*t^8.58)/g1^3 + (g1^2*t^8.67)/g2^26 + t^8.71/g2^9 + (g1^3*t^8.77)/g2^15 - 2*g1*g2^2*t^8.82 - (3*g2^19*t^8.86)/g1 - (g2^36*t^8.9)/g1^3 + 4*g1^2*g2^13*t^8.92 + (g1^4*t^8.95)/g2^64 + 5*g2^30*t^8.96 + t^8.71/(g2^9*y^2) - t^3.9/(g2^3*y) - t^4.81/(g2^6*y) - (g1*t^6.14)/(g2^19*y) - (g1*t^6.72)/(g2*y) - (g2^16*t^6.76)/(g1*y) - (g1*t^7.04)/(g2^22*y) - (g2^6*t^7.19)/y - (2*g1*t^7.62)/(g2^4*y) - (g2^13*t^7.67)/(g1*y) + (g1^2*t^8.05)/(g2^14*y) - (g1^2*t^8.38)/(g2^35*y) - (g1*t^8.53)/(g2^7*y) - (g2^10*t^8.57)/(g1*y) + (g2^21*t^8.68)/y + (g1^2*t^8.96)/(g2^17*y) - (t^3.9*y)/g2^3 - (t^4.81*y)/g2^6 - (g1*t^6.14*y)/g2^19 - (g1*t^6.72*y)/g2 - (g2^16*t^6.76*y)/g1 - (g1*t^7.04*y)/g2^22 - g2^6*t^7.19*y - (2*g1*t^7.62*y)/g2^4 - (g2^13*t^7.67*y)/g1 + (g1^2*t^8.05*y)/g2^14 - (g1^2*t^8.38*y)/g2^35 - (g1*t^8.53*y)/g2^7 - (g2^10*t^8.57*y)/g1 + g2^21*t^8.68*y + (g1^2*t^8.96*y)/g2^17 + (t^8.71*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|
61262 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3785 | 1.5512 | 0.8887 | [X:[1.3979], M:[0.7526, 1.0969], q:[0.466, 0.767], qb:[0.4804, 0.4804], phi:[0.301]] | t^2.26 + 2*t^2.84 + t^3.29 + 3*t^3.74 + t^4.19 + t^4.52 + 4*t^4.65 + t^5.1 + 2*t^5.23 + 3*t^5.55 + 3*t^5.68 - 3*t^6. - t^3.9/y - t^4.81/y - t^3.9*y - t^4.81*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 |
---|---|---|---|---|---|---|---|---|---|
57498 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4005 | 1.5908 | 0.8804 | [X:[1.3547], M:[0.795, 1.0321], q:[0.3681, 0.6907], qb:[0.5143, 0.4911], phi:[0.3226]] | t^2.39 + t^2.58 + t^2.65 + t^3.1 + 2*t^3.55 + t^3.61 + t^4.06 + 2*t^4.51 + 2*t^4.58 + t^4.77 + t^4.96 + t^5.16 + t^5.22 + t^5.25 + t^5.29 + t^5.46 + 2*t^5.48 + t^5.53 + t^5.55 + t^5.67 + t^5.74 + t^5.93 - 4*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail |