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 |
---|---|---|---|---|---|---|---|---|---|
46675 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ | 0.7133 | 0.8853 | 0.8057 | [X:[], M:[0.6716, 0.7152, 1.0218, 0.9782, 0.9782], q:[0.7883, 0.5401], qb:[0.4965, 0.4817], phi:[0.4234]] | [X:[], M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [1, 7]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$ | . | -3 | t^2.01 + t^2.15 + t^2.54 + 2*t^2.93 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.2 + t^4.25 + t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.69 + 2*t^4.95 + 3*t^5.08 + t^5.12 + t^5.26 + 2*t^5.47 + t^5.65 + 2*t^5.87 - 3*t^6. + 2*t^6.04 - t^6.13 - t^6.17 + 2*t^6.18 + 2*t^6.22 + t^6.26 + 2*t^6.31 + 2*t^6.35 + t^6.39 + t^6.44 + t^6.48 + t^6.53 + t^6.57 + t^6.66 + 2*t^6.7 + 2*t^6.74 + t^6.79 + t^6.83 + 2*t^6.96 + t^7.05 + 4*t^7.1 + 2*t^7.14 + 2*t^7.18 + 2*t^7.23 + t^7.27 + t^7.31 + t^7.36 + t^7.45 + 3*t^7.49 + 4*t^7.62 - t^7.71 - t^7.84 + 2*t^7.88 - t^7.97 + t^8.01 + 2*t^8.06 - 4*t^8.15 + 2*t^8.19 + t^8.23 + 2*t^8.32 + 2*t^8.37 + 4*t^8.41 + 3*t^8.45 + 3*t^8.5 - 2*t^8.54 + 3*t^8.58 + 2*t^8.63 + t^8.67 + t^8.72 + 3*t^8.76 + 4*t^8.8 + 3*t^8.85 + 2*t^8.89 - 6*t^8.93 + 3*t^8.98 - t^4.27/y - t^6.28/y - t^6.42/y - t^6.81/y + t^7.16/y - t^7.2/y + t^7.34/y + t^7.55/y + t^7.69/y + t^7.73/y + (2*t^7.95)/y + (2*t^8.08)/y + (2*t^8.12)/y + (2*t^8.26)/y - t^8.3/y - t^8.43/y + (2*t^8.47)/y - t^8.56/y + t^8.65/y + t^8.87/y - t^4.27*y - t^6.28*y - t^6.42*y - t^6.81*y + t^7.16*y - t^7.2*y + t^7.34*y + t^7.55*y + t^7.69*y + t^7.73*y + 2*t^7.95*y + 2*t^8.08*y + 2*t^8.12*y + 2*t^8.26*y - t^8.3*y - t^8.43*y + 2*t^8.47*y - t^8.56*y + t^8.65*y + t^8.87*y | g1*g2^15*t^2.01 + (g2*t^2.15)/g1 + g2^4*t^2.54 + 2*g1*g2^7*t^2.93 + t^3.11/g2^14 + g2^6*t^3.81 + g1^2*g2^30*t^4.03 + 2*g2^16*t^4.16 + g1*g2^9*t^4.2 + g1^2*g2^2*t^4.25 + (g2^2*t^4.29)/g1^2 + t^4.34/(g1*g2^5) + t^4.38/g2^12 + t^4.51/(g1^2*g2^26) + g1*g2^19*t^4.55 + (g2^5*t^4.69)/g1 + 2*g1^2*g2^22*t^4.95 + 3*g2^8*t^5.08 + g1*g2*t^5.12 + t^5.26/(g1*g2^13) + 2*g1*g2^11*t^5.47 + t^5.65/g2^10 + 2*g1^2*g2^14*t^5.87 - 3*t^6. + (g1*t^6.04)/g2^7 + g1^3*g2^45*t^6.04 - t^6.13/(g1^2*g2^14) - t^6.17/(g1*g2^21) + 2*g1*g2^31*t^6.18 + t^6.22/g2^28 + g1^2*g2^24*t^6.22 + g1^3*g2^17*t^6.26 + (2*g2^17*t^6.31)/g1 + 2*g2^10*t^6.35 + g1*g2^3*t^6.39 + (g2^3*t^6.44)/g1^3 + t^6.48/(g1^2*g2^4) + t^6.53/(g1*g2^11) + g1^2*g2^34*t^6.57 + t^6.66/(g1^3*g2^25) + 2*g2^20*t^6.7 + 2*g1*g2^13*t^6.74 + g1^2*g2^6*t^6.79 + (g2^6*t^6.83)/g1^2 + 2*g1^3*g2^37*t^6.96 + t^7.05/(g1^2*g2^22) + 4*g1*g2^23*t^7.1 + 2*g1^2*g2^16*t^7.14 + 2*g1^3*g2^9*t^7.18 + (2*g2^9*t^7.23)/g1 + g2^2*t^7.27 + (g1*t^7.31)/g2^5 + (g1^2*t^7.36)/g2^12 + t^7.45/(g1*g2^19) + t^7.49/g2^26 + 2*g1^2*g2^26*t^7.49 + t^7.62/(g1^2*g2^40) + 3*g2^12*t^7.62 - (g1^2*t^7.71)/g2^2 - t^7.84/g2^16 + 2*g1^3*g2^29*t^7.88 - t^7.97/(g1^2*g2^30) + g1*g2^15*t^8.01 + g1^2*g2^8*t^8.06 + g1^4*g2^60*t^8.06 - (4*g2*t^8.15)/g1 + 2*g1^2*g2^46*t^8.19 + g1^3*g2^39*t^8.23 - t^8.28/(g1^3*g2^13) + g1^4*g2^32*t^8.28 - t^8.32/(g1^2*g2^20) + 3*g2^32*t^8.32 + 2*g1*g2^25*t^8.37 + 4*g1^2*g2^18*t^8.41 + g1^3*g2^11*t^8.45 + (2*g2^18*t^8.45)/g1^2 + g1^4*g2^4*t^8.5 + (2*g2^11*t^8.5)/g1 - 2*g2^4*t^8.54 + (g1*t^8.58)/g2^3 + (g2^4*t^8.58)/g1^4 + g1^3*g2^49*t^8.58 + (g1^2*t^8.63)/g2^10 + t^8.63/(g1^3*g2^3) + t^8.67/(g1^2*g2^10) - t^8.72/(g1*g2^17) + 2*g1*g2^35*t^8.72 + (2*t^8.76)/g2^24 + g1^2*g2^28*t^8.76 + t^8.8/(g1^4*g2^24) + 3*g1^3*g2^21*t^8.8 + t^8.85/(g1^3*g2^31) + (2*g2^21*t^8.85)/g1 + t^8.89/(g1^2*g2^38) + g2^14*t^8.89 - 6*g1*g2^7*t^8.93 + (g2^7*t^8.98)/g1^3 + 2*g1^4*g2^52*t^8.98 - (g2^2*t^4.27)/y - (g1*g2^17*t^6.28)/y - (g2^3*t^6.42)/(g1*y) - (g2^6*t^6.81)/y + (g2^16*t^7.16)/y - (g1*g2^9*t^7.2)/y + t^7.34/(g1*g2^5*y) + (g1*g2^19*t^7.55)/y + (g2^5*t^7.69)/(g1*y) + t^7.73/(g2^2*y) + (2*g1^2*g2^22*t^7.95)/y + (2*g2^8*t^8.08)/y + (2*g1*g2*t^8.12)/y + (2*t^8.26)/(g1*g2^13*y) - (g1^2*g2^32*t^8.3)/y - (g2^18*t^8.43)/y + (2*g1*g2^11*t^8.47)/y - (g2^4*t^8.56)/(g1^2*y) + t^8.65/(g2^10*y) + (g1^2*g2^14*t^8.87)/y - g2^2*t^4.27*y - g1*g2^17*t^6.28*y - (g2^3*t^6.42*y)/g1 - g2^6*t^6.81*y + g2^16*t^7.16*y - g1*g2^9*t^7.2*y + (t^7.34*y)/(g1*g2^5) + g1*g2^19*t^7.55*y + (g2^5*t^7.69*y)/g1 + (t^7.73*y)/g2^2 + 2*g1^2*g2^22*t^7.95*y + 2*g2^8*t^8.08*y + 2*g1*g2*t^8.12*y + (2*t^8.26*y)/(g1*g2^13) - g1^2*g2^32*t^8.3*y - g2^18*t^8.43*y + 2*g1*g2^11*t^8.47*y - (g2^4*t^8.56*y)/g1^2 + (t^8.65*y)/g2^10 + g1^2*g2^14*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
47233 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_2M_6$ | 0.6933 | 0.8484 | 0.8171 | [X:[], M:[0.6706, 0.7285, 1.029, 0.971, 0.971, 1.2715], q:[0.7876, 0.5419], qb:[0.4839, 0.4871], phi:[0.4249]] | t^2.01 + t^2.55 + 2*t^2.91 + t^3.08 + t^3.81 + t^3.82 + t^4.02 + t^4.18 + t^4.19 + t^4.2 + t^4.35 + t^4.36 + t^4.53 + t^4.56 + 2*t^4.92 + t^5.09 + t^5.1 + 2*t^5.46 + t^5.63 + 3*t^5.83 + t^5.99 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
46824 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.7001 | 0.8624 | 0.8118 | [X:[], M:[0.6791, 0.7225, 1.0217, 0.9783, 0.9783, 1.1496], q:[0.7874, 0.5335], qb:[0.4901, 0.4882], phi:[0.4252]] | t^2.04 + t^2.17 + 2*t^2.93 + t^3.07 + t^3.45 + t^3.83 + t^4.07 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.33 + t^4.34 + t^4.35 + t^4.48 + 2*t^4.97 + 2*t^5.1 + t^5.11 + t^5.24 + t^5.49 + t^5.62 + 2*t^5.87 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
47154 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1X_1$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.6328, 0.6867, 1.0269, 0.9731, 0.9731, 0.9045], q:[0.7925, 0.5747], qb:[0.5208, 0.4523], phi:[0.4149]] | t^2.06 + t^2.49 + t^2.71 + 2*t^2.92 + t^3.73 + t^3.96 + t^4.1 + t^4.12 + t^4.16 + t^4.33 + t^4.37 + t^4.53 + t^4.55 + t^4.69 + t^4.77 + 3*t^4.98 + t^5.2 + 2*t^5.41 + t^5.43 + t^5.63 + 2*t^5.84 - 3*t^6. - t^4.24/y - t^4.24*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 |
---|---|---|---|---|---|---|---|---|---|
46205 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.7691, 0.8187, 1.0248, 0.9752, 0.9752], q:[0.6602, 0.5707], qb:[0.5212, 0.4541], phi:[0.4485]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. - t^4.35/y - t^4.35*y | detail |