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 |
---|---|---|---|---|---|---|---|---|---|
55902 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6555 | 0.806 | 0.8132 | [X:[], M:[1.0949, 1.0217, 1.168, 0.9783, 0.832, 0.7588], q:[0.3943, 0.584], qb:[0.4377, 0.7737], phi:[0.4526]] | [X:[], M:[[4], [22], [-14], [-22], [14], [32]], q:[[-15], [-7]], qb:[[29], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. + 2*t^6.13 + t^6.26 + 2*t^6.35 + t^6.48 + 2*t^6.57 + 2*t^6.7 + t^6.83 + 2*t^6.92 + 2*t^7.05 + 2*t^7.14 + 2*t^7.27 + t^7.36 + 3*t^7.49 + t^7.58 + 2*t^7.62 + t^7.71 + 2*t^7.84 + t^7.93 + t^7.97 + 3*t^8.06 + t^8.19 + 3*t^8.41 - t^8.5 + t^8.54 + 2*t^8.63 - t^8.72 + t^8.76 + 3*t^8.85 - 2*t^8.93 + 3*t^8.98 - t^4.36/y - t^6.63/y + t^7.77/y + t^8.08/y + t^8.21/y + t^8.34/y + t^8.43/y + (2*t^8.56)/y + (2*t^8.78)/y - t^4.36*y - t^6.63*y + t^7.77*y + t^8.08*y + t^8.21*y + t^8.34*y + t^8.43*y + 2*t^8.56*y + 2*t^8.78*y | g1^32*t^2.28 + g1^14*t^2.5 + t^2.93/g1^22 + g1^22*t^3.07 + g1^4*t^3.28 + t^3.5/g1^14 + g1^30*t^3.63 + g1^12*t^3.85 + g1^56*t^3.98 + t^4.07/g1^6 + t^4.29/g1^24 + g1^20*t^4.42 + g1^64*t^4.55 + g1^46*t^4.77 + t^4.86/g1^16 + g1^28*t^4.99 + g1^10*t^5.21 + g1^54*t^5.34 + g1^36*t^5.56 + 2*g1^18*t^5.78 + g1^62*t^5.91 - t^6. + 2*g1^44*t^6.13 + g1^88*t^6.26 + 2*g1^26*t^6.35 + g1^70*t^6.48 + 2*g1^8*t^6.57 + 2*g1^52*t^6.7 + g1^96*t^6.83 + 2*g1^34*t^6.92 + 2*g1^78*t^7.05 + 2*g1^16*t^7.14 + 2*g1^60*t^7.27 + t^7.36/g1^2 + 3*g1^42*t^7.49 + t^7.58/g1^20 + 2*g1^86*t^7.62 + g1^24*t^7.71 + 2*g1^68*t^7.84 + g1^6*t^7.93 + g1^112*t^7.97 + 3*g1^50*t^8.06 + g1^94*t^8.19 + 3*g1^76*t^8.41 - g1^14*t^8.5 + g1^120*t^8.54 + 2*g1^58*t^8.63 - t^8.72/g1^4 + g1^102*t^8.76 + 3*g1^40*t^8.85 - (2*t^8.93)/g1^22 + 3*g1^84*t^8.98 - t^4.36/(g1^2*y) - (g1^30*t^6.63)/y + (g1^46*t^7.77)/y + t^8.08/(g1^34*y) + (g1^10*t^8.21)/y + (g1^54*t^8.34)/y + t^8.43/(g1^8*y) + (2*g1^36*t^8.56)/y + (2*g1^18*t^8.78)/y - (t^4.36*y)/g1^2 - g1^30*t^6.63*y + g1^46*t^7.77*y + (t^8.08*y)/g1^34 + g1^10*t^8.21*y + g1^54*t^8.34*y + (t^8.43*y)/g1^8 + 2*g1^36*t^8.56*y + 2*g1^18*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
57526 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6583 | 0.809 | 0.8137 | [X:[], M:[1.0981, 1.0396, 1.1566, 0.9604, 0.8434, 0.7849, 0.9604], q:[0.3821, 0.5783], qb:[0.4613, 0.7745], phi:[0.4509]] | t^2.35 + t^2.53 + 2*t^2.88 + t^3.29 + t^3.47 + t^3.71 + t^3.88 + t^4.06 + t^4.12 + t^4.23 + t^4.47 + t^4.71 + t^4.82 + t^4.88 + t^5.06 + 2*t^5.24 + t^5.41 + 2*t^5.76 + 2*t^5.82 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
57525 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.5692 | 0.6942 | 0.8199 | [X:[], M:[1.1304, 1.2174, 1.0435, 0.7826, 0.9565, 1.0435], q:[0.2609, 0.5217], qb:[0.6957, 0.7826], phi:[0.4348]] | t^2.35 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + t^4.96 + 2*t^5.48 + t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 2409/4232, c: 1469/2116, M1: 26/23, M2: 28/23, M3: 24/23, M4: 18/23, M5: 22/23, M6: 24/23, q1: 6/23, q2: 12/23, qb1: 16/23, qb2: 18/23, phi1: 10/23} |
57524 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ | 0.592 | 0.7209 | 0.8212 | [X:[], M:[1.125, 1.1875, 1.0625, 0.8125, 0.9375, 1.0], q:[0.2812, 0.5312], qb:[0.6562, 0.7812], phi:[0.4375]] | t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.44 + t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 77589/131072, c: 94485/131072, M1: 9/8, M2: 19/16, M3: 17/16, M4: 13/16, M5: 15/16, M6: 1, q1: 9/32, q2: 17/32, qb1: 21/32, qb2: 25/32, phi1: 7/16} |
57527 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6757 | 0.8438 | 0.8008 | [X:[], M:[1.0953, 1.0243, 1.1664, 0.9757, 0.8336, 0.7626, 0.714], q:[0.3925, 0.5832], qb:[0.4411, 0.7738], phi:[0.4523]] | t^2.14 + t^2.29 + t^2.5 + t^2.93 + t^3.07 + t^3.29 + t^3.5 + t^3.64 + t^4. + t^4.07 + 2*t^4.28 + 2*t^4.43 + t^4.58 + t^4.64 + t^4.79 + t^4.86 + t^5. + t^5.07 + 2*t^5.21 + t^5.36 + t^5.43 + t^5.57 + t^5.64 + 3*t^5.79 + t^5.93 - t^6. - t^4.36/y - t^4.36*y | detail | |
57528 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6763 | 0.8474 | 0.7981 | [X:[], M:[1.095, 1.0226, 1.1675, 0.9774, 0.8325, 0.7601, 0.6698], q:[0.3937, 0.5837], qb:[0.4388, 0.7738], phi:[0.4525]] | t^2.01 + t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.29 + t^3.5 + t^3.64 + t^3.86 + t^4.02 + t^4.07 + 2*t^4.29 + t^4.43 + t^4.51 + t^4.56 + t^4.78 + t^4.86 + t^4.94 + t^5. + t^5.08 + t^5.21 + t^5.29 + t^5.35 + t^5.51 + t^5.57 + t^5.65 + 2*t^5.78 + t^5.86 + t^5.92 - t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
48152 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6373 | 0.7722 | 0.8253 | [X:[], M:[1.0976, 1.0366, 1.1585, 0.9634, 0.8415], q:[0.3841, 0.5793], qb:[0.4573, 0.7744], phi:[0.4512]] | t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^3.66 + t^3.7 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.46 + t^4.83 + t^5.05 + t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail |