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 |
---|---|---|---|---|---|---|---|---|---|
47166 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6536 | 0.8612 | 0.7589 | [X:[], M:[0.968, 0.838, 0.904, 0.774, 0.774], q:[0.742, 0.29], qb:[0.484, 0.42], phi:[0.516]] | [X:[], M:[[4], [-11], [12], [-3], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.13 + 3*t^2.32 + t^2.51 + 2*t^2.71 + t^2.9 + t^3.1 + t^3.87 + t^4.07 + 2*t^4.26 + 4*t^4.45 + 7*t^4.64 + 5*t^4.84 + 8*t^5.03 + 6*t^5.23 + 6*t^5.42 + 2*t^5.62 + t^5.81 - 2*t^6. + t^6.19 + t^6.2 + t^6.38 + 3*t^6.39 + 6*t^6.58 + 8*t^6.77 + 2*t^6.78 + 16*t^6.97 + 15*t^7.16 + 3*t^7.35 + 14*t^7.36 + t^7.54 + 14*t^7.55 + 7*t^7.74 + 10*t^7.75 + 7*t^7.94 - t^8.13 + 5*t^8.14 - 9*t^8.32 + 5*t^8.33 - 4*t^8.51 + 5*t^8.52 + 4*t^8.9 + 2*t^8.91 - t^4.55/y - (2*t^6.87)/y - t^7.06/y - t^7.26/y + (3*t^7.45)/y + (4*t^7.64)/y + (6*t^7.84)/y + (8*t^8.03)/y + (8*t^8.23)/y + (5*t^8.42)/y + t^8.61/y + (2*t^8.62)/y + (2*t^8.81)/y - t^4.55*y - 2*t^6.87*y - t^7.06*y - t^7.26*y + 3*t^7.45*y + 4*t^7.64*y + 6*t^7.84*y + 8*t^8.03*y + 8*t^8.23*y + 5*t^8.42*y + t^8.61*y + 2*t^8.62*y + 2*t^8.81*y | g1^5*t^2.13 + (3*t^2.32)/g1^3 + t^2.51/g1^11 + 2*g1^12*t^2.71 + g1^4*t^2.9 + t^3.1/g1^4 + t^3.87/g1^5 + g1^18*t^4.07 + 2*g1^10*t^4.26 + 4*g1^2*t^4.45 + (7*t^4.64)/g1^6 + (3*t^4.84)/g1^14 + 2*g1^17*t^4.84 + t^5.03/g1^22 + 7*g1^9*t^5.03 + 6*g1*t^5.23 + (3*t^5.42)/g1^7 + 3*g1^24*t^5.42 + 2*g1^16*t^5.62 + g1^8*t^5.81 - 2*t^6. + t^6.19/g1^8 + g1^23*t^6.2 + t^6.38/g1^16 + 3*g1^15*t^6.39 + 6*g1^7*t^6.58 + (8*t^6.77)/g1 + 2*g1^30*t^6.78 + (12*t^6.97)/g1^9 + 4*g1^22*t^6.97 + (6*t^7.16)/g1^17 + 9*g1^14*t^7.16 + (3*t^7.35)/g1^25 + 14*g1^6*t^7.36 + t^7.54/g1^33 + (11*t^7.55)/g1^2 + 3*g1^29*t^7.55 + (7*t^7.74)/g1^10 + 10*g1^21*t^7.75 + 7*g1^13*t^7.94 - g1^5*t^8.13 + 5*g1^36*t^8.14 - (9*t^8.32)/g1^3 + 5*g1^28*t^8.33 - (4*t^8.51)/g1^11 + 5*g1^20*t^8.52 + t^8.9/g1^27 + 3*g1^4*t^8.9 + 2*g1^35*t^8.91 - t^4.55/(g1^2*y) - (2*t^6.87)/(g1^5*y) - t^7.06/(g1^13*y) - (g1^10*t^7.26)/y + (3*g1^2*t^7.45)/y + (4*t^7.64)/(g1^6*y) + (4*t^7.84)/(g1^14*y) + (2*g1^17*t^7.84)/y + (8*g1^9*t^8.03)/y + (8*g1*t^8.23)/y + (4*t^8.42)/(g1^7*y) + (g1^24*t^8.42)/y + t^8.61/(g1^15*y) + (2*g1^16*t^8.62)/y + (2*g1^8*t^8.81)/y - (t^4.55*y)/g1^2 - (2*t^6.87*y)/g1^5 - (t^7.06*y)/g1^13 - g1^10*t^7.26*y + 3*g1^2*t^7.45*y + (4*t^7.64*y)/g1^6 + (4*t^7.84*y)/g1^14 + 2*g1^17*t^7.84*y + 8*g1^9*t^8.03*y + 8*g1*t^8.23*y + (4*t^8.42*y)/g1^7 + g1^24*t^8.42*y + (t^8.61*y)/g1^15 + 2*g1^16*t^8.62*y + 2*g1^8*t^8.81*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 |
---|---|---|---|---|---|---|---|---|
55024 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6739 | 0.8999 | 0.7488 | [X:[], M:[0.9667, 0.8416, 0.9001, 0.775, 0.775, 0.7084], q:[0.7417, 0.2916], qb:[0.4833, 0.4167], phi:[0.5167]] | 2*t^2.13 + 3*t^2.32 + t^2.52 + 2*t^2.7 + t^2.9 + t^3.1 + t^4.05 + 4*t^4.25 + 7*t^4.45 + 8*t^4.65 + 4*t^4.83 + 3*t^4.85 + 8*t^5.03 + t^5.05 + 7*t^5.23 + 3*t^5.4 + 3*t^5.42 + 2*t^5.6 + t^5.8 - 3*t^6. - t^4.55/y - t^4.55*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 |
---|---|---|---|---|---|---|---|---|---|
46660 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6357 | 0.8295 | 0.7663 | [X:[], M:[0.9662, 0.843, 0.8985, 0.7754], q:[0.7415, 0.2923], qb:[0.4831, 0.4154], phi:[0.5169]] | t^2.12 + 2*t^2.33 + t^2.53 + 2*t^2.7 + t^2.9 + t^3.1 + t^3.67 + t^3.88 + t^4.04 + 2*t^4.25 + 3*t^4.45 + 4*t^4.65 + 2*t^4.82 + 2*t^4.86 + 5*t^5.02 + t^5.06 + 5*t^5.22 + 3*t^5.39 + 2*t^5.43 + 2*t^5.59 + 2*t^5.8 - t^4.55/y - t^4.55*y | detail |