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 |
---|---|---|---|---|---|---|---|---|---|
50921 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6771 | 0.8451 | 0.8012 | [X:[], M:[1.1457, 0.9789, 1.0834, 0.8543, 0.7497, 0.792], q:[0.4794, 0.3749], qb:[0.5417, 0.7709], phi:[0.4583]] | [X:[], M:[[-5], [-13], [4], [5], [-12], [14]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_6$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_4M_5$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_4^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_3M_6$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_3M_4$, $ M_1M_6$, $ M_2^2$ | . | -1 | t^2.25 + t^2.38 + t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.44 + 2*t^3.94 + t^4.12 + t^4.25 + t^4.44 + t^4.5 + 2*t^4.63 + t^4.75 + t^4.81 + t^4.94 + t^5. + 2*t^5.13 + t^5.19 + 2*t^5.31 + 2*t^5.5 + t^5.63 + t^5.69 + t^5.81 + t^5.87 - t^6. + 2*t^6.19 + t^6.31 + 2*t^6.37 + 2*t^6.5 + t^6.63 + 2*t^6.69 + t^6.75 + 2*t^6.81 + 3*t^6.87 + 3*t^7. + t^7.06 + t^7.13 + 2*t^7.19 + t^7.25 + t^7.31 + 3*t^7.37 + t^7.44 + 2*t^7.5 + 2*t^7.56 + 2*t^7.69 + 2*t^7.75 + 3*t^7.88 + t^7.94 + t^8. + 2*t^8.06 + t^8.12 + 2*t^8.19 - t^8.38 + 2*t^8.44 + t^8.5 + 2*t^8.62 + 2*t^8.69 + t^8.75 + t^8.81 + 2*t^8.88 - t^8.94 - t^4.37/y - t^6.62/y - t^6.75/y - t^7.31/y + t^7.44/y + t^7.63/y + t^7.81/y + t^7.94/y + (2*t^8.)/y + (2*t^8.13)/y + t^8.19/y + (2*t^8.31)/y + (2*t^8.5)/y + t^8.63/y + (2*t^8.69)/y + (2*t^8.81)/y - t^8.87/y - t^4.37*y - t^6.62*y - t^6.75*y - t^7.31*y + t^7.44*y + t^7.63*y + t^7.81*y + t^7.94*y + 2*t^8.*y + 2*t^8.13*y + t^8.19*y + 2*t^8.31*y + 2*t^8.5*y + t^8.63*y + 2*t^8.69*y + 2*t^8.81*y - t^8.87*y | t^2.25/g1^12 + g1^14*t^2.38 + g1^5*t^2.56 + t^2.75/g1^4 + t^2.94/g1^13 + g1^4*t^3.25 + t^3.44/g1^5 + 2*g1^3*t^3.94 + t^4.12/g1^6 + g1^20*t^4.25 + g1^11*t^4.44 + t^4.5/g1^24 + 2*g1^2*t^4.63 + g1^28*t^4.75 + t^4.81/g1^7 + g1^19*t^4.94 + t^5./g1^16 + 2*g1^10*t^5.13 + t^5.19/g1^25 + 2*g1*t^5.31 + (2*t^5.5)/g1^8 + g1^18*t^5.63 + t^5.69/g1^17 + g1^9*t^5.81 + t^5.87/g1^26 - t^6. + (2*t^6.19)/g1^9 + g1^17*t^6.31 + (2*t^6.37)/g1^18 + 2*g1^8*t^6.5 + g1^34*t^6.63 + (2*t^6.69)/g1 + t^6.75/g1^36 + 2*g1^25*t^6.81 + (3*t^6.87)/g1^10 + 3*g1^16*t^7. + t^7.06/g1^19 + g1^42*t^7.13 + 2*g1^7*t^7.19 + t^7.25/g1^28 + g1^33*t^7.31 + (3*t^7.37)/g1^2 + t^7.44/g1^37 + 2*g1^24*t^7.5 + (2*t^7.56)/g1^11 + 2*g1^15*t^7.69 + (2*t^7.75)/g1^20 + 3*g1^6*t^7.88 + t^7.94/g1^29 + g1^32*t^8. + (2*t^8.06)/g1^3 + t^8.12/g1^38 + 2*g1^23*t^8.19 - g1^14*t^8.38 + (2*t^8.44)/g1^21 + g1^40*t^8.5 + (2*t^8.62)/g1^30 + 2*g1^31*t^8.69 + t^8.75/g1^4 + t^8.81/g1^39 + 2*g1^22*t^8.88 - t^8.94/g1^13 - t^4.37/(g1^2*y) - t^6.62/(g1^14*y) - (g1^12*t^6.75)/y - t^7.31/(g1^15*y) + (g1^11*t^7.44)/y + (g1^2*t^7.63)/y + t^7.81/(g1^7*y) + (g1^19*t^7.94)/y + (2*t^8.)/(g1^16*y) + (2*g1^10*t^8.13)/y + t^8.19/(g1^25*y) + (2*g1*t^8.31)/y + (2*t^8.5)/(g1^8*y) + (g1^18*t^8.63)/y + (2*t^8.69)/(g1^17*y) + (2*g1^9*t^8.81)/y - t^8.87/(g1^26*y) - (t^4.37*y)/g1^2 - (t^6.62*y)/g1^14 - g1^12*t^6.75*y - (t^7.31*y)/g1^15 + g1^11*t^7.44*y + g1^2*t^7.63*y + (t^7.81*y)/g1^7 + g1^19*t^7.94*y + (2*t^8.*y)/g1^16 + 2*g1^10*t^8.13*y + (t^8.19*y)/g1^25 + 2*g1*t^8.31*y + (2*t^8.5*y)/g1^8 + g1^18*t^8.63*y + (2*t^8.69*y)/g1^17 + 2*g1^9*t^8.81*y - (t^8.87*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
56333 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ | 0.6901 | 0.8675 | 0.7954 | [X:[], M:[1.15, 0.9899, 1.08, 0.85, 0.7599, 0.7801, 0.85], q:[0.4701, 0.38], qb:[0.54, 0.77], phi:[0.46]] | t^2.28 + t^2.34 + 2*t^2.55 + t^2.76 + t^2.97 + t^3.24 + 2*t^3.93 + t^4.14 + t^4.2 + t^4.41 + t^4.56 + 2*t^4.62 + t^4.68 + 2*t^4.83 + 2*t^4.89 + t^5.04 + 4*t^5.1 + t^5.25 + 3*t^5.31 + 3*t^5.52 + t^5.58 + t^5.79 + t^5.94 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
56332 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_3M_7$ | 0.6849 | 0.8581 | 0.7981 | [X:[], M:[1.1417, 0.9685, 1.0866, 0.8583, 0.7402, 0.8031, 0.9134], q:[0.4882, 0.3701], qb:[0.5433, 0.7717], phi:[0.4567]] | t^2.22 + t^2.41 + t^2.57 + 2*t^2.74 + t^2.91 + t^3.43 + 2*t^3.94 + t^4.11 + t^4.3 + t^4.44 + t^4.46 + 2*t^4.63 + t^4.8 + t^4.82 + 2*t^4.96 + t^4.98 + t^5.13 + 3*t^5.15 + 3*t^5.31 + 3*t^5.48 + 2*t^5.65 + t^5.81 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
56334 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6978 | 0.8853 | 0.7882 | [X:[], M:[1.1453, 0.9779, 1.0837, 0.8547, 0.7488, 0.7931, 0.6872], q:[0.4803, 0.3744], qb:[0.5419, 0.7709], phi:[0.4581]] | t^2.06 + t^2.25 + t^2.38 + t^2.56 + t^2.75 + t^2.93 + t^3.25 + t^3.44 + t^3.94 + 2*t^4.12 + t^4.26 + t^4.31 + 2*t^4.44 + t^4.49 + 3*t^4.63 + t^4.76 + 2*t^4.81 + t^4.94 + 2*t^5. + 2*t^5.13 + t^5.18 + 3*t^5.31 + 3*t^5.5 + t^5.63 + t^5.68 + t^5.82 + t^5.87 - t^4.37/y - t^4.37*y | detail | |
56331 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1^2$ | 0.6696 | 0.8327 | 0.8041 | [X:[], M:[1.1497, 0.9893, 1.0802, 0.8503, 0.7594, 0.7808, 1.0802], q:[0.4706, 0.3797], qb:[0.5401, 0.7701], phi:[0.4599]] | t^2.28 + t^2.34 + t^2.55 + t^2.97 + 2*t^3.24 + t^3.45 + 2*t^3.93 + t^4.14 + t^4.2 + t^4.41 + t^4.56 + 2*t^4.62 + t^4.68 + t^4.83 + t^4.89 + t^5.1 + t^5.25 + t^5.31 + 2*t^5.52 + 2*t^5.58 + 2*t^5.79 + t^5.94 - 2*t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
48227 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ | 0.661 | 0.8174 | 0.8086 | [X:[], M:[1.135, 0.951, 1.092, 0.865, 0.724], q:[0.503, 0.362], qb:[0.546, 0.773], phi:[0.454]] | t^2.17 + t^2.59 + t^2.72 + t^2.85 + t^3.28 + t^3.41 + t^3.53 + 2*t^3.96 + t^4.09 + t^4.34 + t^4.38 + t^4.51 + t^4.64 + t^4.77 + t^4.9 + t^5.03 + t^5.19 + t^5.32 + 2*t^5.45 + t^5.58 + 2*t^5.71 - t^6. - t^4.36/y - t^4.36*y | detail |