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 |
---|---|---|---|---|---|---|---|---|---|
6502 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_10M_6$ | 0.7001 | 0.8886 | 0.7878 | [X:[], M:[1.0164, 0.7865, 0.9708, 0.8321, 1.1679, 1.0985, 0.7628, 1.0292, 0.6715, 0.9015], q:[0.5903, 0.3932], qb:[0.4389, 0.7746], phi:[0.4507]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [2, 6], [1, 15], [-4, 4], [0, -8]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_9$, $ M_7$, $ M_2$, $ M_4$, $ M_10$, $ M_1$, $ M_8$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_9^2$, $ q_1\tilde{q}_2$, $ M_7M_9$, $ \phi_1q_1q_2$, $ M_2M_9$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_9$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_10M_9$, $ M_4M_7$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_10M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_10M_2$, $ M_1M_9$, $ M_8M_9$, $ M_10M_4$, $ M_1M_7$, $ M_7M_8$, $ M_10^2$, $ M_1M_2$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_9$, $ M_4M_8$, $ M_1M_10$, $ M_5M_7$, $ M_10M_8$, $ M_2M_5$, $ M_9\phi_1q_2\tilde{q}_1$ | . | -2 | t^2.01 + t^2.29 + t^2.36 + t^2.5 + t^2.7 + t^3.05 + t^3.09 + t^3.5 + t^3.85 + t^4.03 + t^4.09 + 2*t^4.3 + t^4.37 + t^4.44 + t^4.51 + t^4.58 + t^4.65 + 2*t^4.72 + t^4.78 + t^4.86 + t^4.89 + 2*t^4.99 + 2*t^5.06 + t^5.1 + t^5.2 + t^5.34 + t^5.38 + t^5.41 + t^5.45 + t^5.52 + t^5.58 + t^5.75 + 2*t^5.79 + t^5.86 - 2*t^6. + t^6.04 + t^6.1 + t^6.11 + t^6.14 + t^6.18 + t^6.21 + 2*t^6.32 + t^6.38 + t^6.39 + t^6.45 + t^6.53 + t^6.55 + 2*t^6.59 + 2*t^6.66 + 3*t^6.73 - t^6.76 + 2*t^6.8 + 2*t^6.87 + t^6.91 + 2*t^6.94 + 3*t^7.01 + t^7.07 + 3*t^7.08 + t^7.12 + t^7.14 + 2*t^7.18 + t^7.22 + t^7.25 + t^7.28 + 2*t^7.35 + 2*t^7.39 + 2*t^7.42 + t^7.46 + t^7.49 + 2*t^7.53 + t^7.56 + 2*t^7.6 + t^7.63 + t^7.66 + 2*t^7.7 + 2*t^7.77 + 2*t^7.81 + t^7.87 + t^7.88 + t^7.94 + t^7.98 - 2*t^8.01 + t^8.04 + t^8.06 + 2*t^8.08 + 2*t^8.11 + t^8.12 + t^8.15 + t^8.19 + t^8.22 - 2*t^8.29 + 2*t^8.33 - 3*t^8.36 + t^8.39 + 3*t^8.4 + t^8.43 + 3*t^8.46 + t^8.47 - t^8.5 + t^8.53 + t^8.54 + t^8.57 + 2*t^8.61 - t^8.63 + 2*t^8.67 + 2*t^8.68 - 3*t^8.7 + t^8.74 + 2*t^8.75 - t^8.78 + t^8.8 + 2*t^8.81 + t^8.84 + 4*t^8.88 + t^8.92 + t^8.95 + t^8.99 - t^4.35/y - t^6.37/y - t^6.64/y - t^6.71/y - t^7.06/y + (2*t^7.3)/y + t^7.37/y - t^7.4/y + t^7.51/y + (2*t^7.65)/y + t^7.72/y + t^7.78/y + t^7.86/y + (2*t^7.99)/y + (3*t^8.06)/y + t^8.1/y + t^8.2/y + (2*t^8.34)/y + t^8.41/y + t^8.45/y + t^8.52/y + t^8.55/y + t^8.58/y - t^8.66/y - t^8.73/y + t^8.75/y + (2*t^8.79)/y + (2*t^8.86)/y - t^8.93/y - t^4.35*y - t^6.37*y - t^6.64*y - t^6.71*y - t^7.06*y + 2*t^7.3*y + t^7.37*y - t^7.4*y + t^7.51*y + 2*t^7.65*y + t^7.72*y + t^7.78*y + t^7.86*y + 2*t^7.99*y + 3*t^8.06*y + t^8.1*y + t^8.2*y + 2*t^8.34*y + t^8.41*y + t^8.45*y + t^8.52*y + t^8.55*y + t^8.58*y - t^8.66*y - t^8.73*y + t^8.75*y + 2*t^8.79*y + 2*t^8.86*y - t^8.93*y | (g2^4*t^2.01)/g1^4 + g1^2*g2^6*t^2.29 + t^2.36/(g1^2*g2^2) + (g1*t^2.5)/g2 + t^2.7/g2^8 + (g1^2*t^3.05)/g2^14 + g1*g2^15*t^3.09 + (g2*t^3.5)/g1 + (g1*t^3.85)/g2^5 + (g2^8*t^4.03)/g1^8 + (g2^17*t^4.09)/g1 + (2*g2^10*t^4.3)/g1^2 + (g2^2*t^4.37)/g1^6 + g1*g2^11*t^4.44 + (g2^3*t^4.51)/g1^3 + g1^4*g2^12*t^4.58 + g2^4*t^4.65 + (2*t^4.72)/(g1^4*g2^4) + g1^3*g2^5*t^4.78 + t^4.86/(g1*g2^3) + (g2^26*t^4.89)/g1^2 + (2*g1^2*t^4.99)/g2^2 + (2*t^5.06)/(g1^2*g2^10) + (g2^19*t^5.1)/g1^3 + (g1*t^5.2)/g2^9 + (g1^4*t^5.34)/g2^8 + g1^3*g2^21*t^5.38 + t^5.41/g2^16 + (g2^13*t^5.45)/g1 + (g2^5*t^5.52)/g1^5 + g1^2*g2^14*t^5.58 + (g1^2*t^5.75)/g2^22 + 2*g1*g2^7*t^5.79 + t^5.86/(g1^3*g2) - 2*t^6. + (g2^12*t^6.04)/g1^12 + (g1^4*t^6.1)/g2^28 + (g2^21*t^6.11)/g1^5 + g1^3*g2*t^6.14 + g1^2*g2^30*t^6.18 + t^6.21/(g1*g2^7) + (2*g2^14*t^6.32)/g1^6 + g1*g2^23*t^6.38 + (g2^6*t^6.39)/g1^10 + (g2^15*t^6.45)/g1^3 + (g2^7*t^6.53)/g1^7 + (g1*t^6.55)/g2^13 + 2*g2^16*t^6.59 + (2*g2^8*t^6.66)/g1^4 + (2*t^6.73)/g1^8 + g1^3*g2^17*t^6.73 - t^6.76/g2^20 + (2*g2^9*t^6.8)/g1 + (g2*t^6.87)/g1^5 + g1^6*g2^18*t^6.87 + (g2^30*t^6.91)/g1^6 + 2*g1^2*g2^10*t^6.94 + (3*g2^2*t^7.01)/g1^2 + g1^5*g2^11*t^7.07 + (3*t^7.08)/(g1^6*g2^6) + (g2^23*t^7.12)/g1^7 + g1*g2^3*t^7.14 + 2*g2^32*t^7.18 + t^7.22/(g1^3*g2^5) + (g2^24*t^7.25)/g1^4 + g1^4*g2^4*t^7.28 + (2*t^7.35)/g2^4 + (2*g2^25*t^7.39)/g1 + (2*t^7.42)/(g1^4*g2^12) + (g2^17*t^7.46)/g1^5 + (g1^3*t^7.49)/g2^3 + (g2^9*t^7.53)/g1^9 + g1^2*g2^26*t^7.53 + t^7.56/(g1*g2^11) + (2*g2^18*t^7.6)/g1^2 + (g1^6*t^7.63)/g2^2 + g1^5*g2^27*t^7.66 + (2*g1^2*t^7.7)/g2^10 + (2*t^7.77)/(g1^2*g2^18) + (2*g2^11*t^7.81)/g1^3 + g1^4*g2^20*t^7.87 + (g2^3*t^7.88)/g1^7 + g2^12*t^7.94 + (g2^41*t^7.98)/g1 - (2*g2^4*t^8.01)/g1^4 + (g1^4*t^8.04)/g2^16 + (g2^16*t^8.06)/g1^16 + 2*g1^3*g2^13*t^8.08 + (2*t^8.11)/g2^24 + (g2^25*t^8.12)/g1^9 + (g2^5*t^8.15)/g1 + (g2^34*t^8.19)/g1^2 + t^8.22/(g1^5*g2^3) - 2*g1^2*g2^6*t^8.29 + (2*g2^18*t^8.33)/g1^10 - (3*t^8.36)/(g1^2*g2^2) + (g1^6*t^8.39)/g2^22 + (g2^10*t^8.4)/g1^14 + (2*g2^27*t^8.4)/g1^3 + g1^5*g2^7*t^8.43 + (2*g1^2*t^8.46)/g2^30 + g1^4*g2^36*t^8.46 + (g2^19*t^8.47)/g1^7 - (g1*t^8.5)/g2 + g2^28*t^8.53 + (g2^11*t^8.54)/g1^11 + t^8.57/(g1^3*g2^9) + (2*g2^20*t^8.61)/g1^4 - g1^4*t^8.63 + 2*g1^3*g2^29*t^8.67 + (2*g2^12*t^8.68)/g1^8 - (3*t^8.7)/g2^8 + (g2^21*t^8.74)/g1 + (2*g2^4*t^8.75)/g1^12 - t^8.78/(g1^4*g2^16) + (g1^4*t^8.8)/g2^36 + (2*g2^13*t^8.81)/g1^5 + (g1^3*t^8.84)/g2^7 + (g2^5*t^8.88)/g1^9 + 3*g1^2*g2^22*t^8.88 + (g2^34*t^8.92)/g1^10 + (g2^14*t^8.95)/g1^2 + (g2^43*t^8.99)/g1^3 - t^4.35/(g2^4*y) - t^6.37/(g1^4*y) - (g1^2*g2^2*t^6.64)/y - t^6.71/(g1^2*g2^6*y) - t^7.06/(g2^12*y) + (2*g2^10*t^7.3)/(g1^2*y) + (g2^2*t^7.37)/(g1^6*y) - (g1^2*t^7.4)/(g2^18*y) + (g2^3*t^7.51)/(g1^3*y) + (2*g2^4*t^7.65)/y + t^7.72/(g1^4*g2^4*y) + (g1^3*g2^5*t^7.78)/y + t^7.86/(g1*g2^3*y) + (2*g1^2*t^7.99)/(g2^2*y) + (3*t^8.06)/(g1^2*g2^10*y) + (g2^19*t^8.1)/(g1^3*y) + (g1*t^8.2)/(g2^9*y) + (2*g1^4*t^8.34)/(g2^8*y) - (g2^4*t^8.38)/(g1^8*y) + (g1^3*g2^21*t^8.38)/y + t^8.41/(g2^16*y) + (g2^13*t^8.45)/(g1*y) + (g2^5*t^8.52)/(g1^5*y) + (g1^3*t^8.55)/(g2^15*y) + (g1^2*g2^14*t^8.58)/y - (g2^6*t^8.66)/(g1^2*y) - t^8.73/(g1^6*g2^2*y) + (g1^2*t^8.75)/(g2^22*y) + (2*g1*g2^7*t^8.79)/y + (2*t^8.86)/(g1^3*g2*y) - (g1^4*g2^8*t^8.93)/y - (t^4.35*y)/g2^4 - (t^6.37*y)/g1^4 - g1^2*g2^2*t^6.64*y - (t^6.71*y)/(g1^2*g2^6) - (t^7.06*y)/g2^12 + (2*g2^10*t^7.3*y)/g1^2 + (g2^2*t^7.37*y)/g1^6 - (g1^2*t^7.4*y)/g2^18 + (g2^3*t^7.51*y)/g1^3 + 2*g2^4*t^7.65*y + (t^7.72*y)/(g1^4*g2^4) + g1^3*g2^5*t^7.78*y + (t^7.86*y)/(g1*g2^3) + (2*g1^2*t^7.99*y)/g2^2 + (3*t^8.06*y)/(g1^2*g2^10) + (g2^19*t^8.1*y)/g1^3 + (g1*t^8.2*y)/g2^9 + (2*g1^4*t^8.34*y)/g2^8 - (g2^4*t^8.38*y)/g1^8 + g1^3*g2^21*t^8.38*y + (t^8.41*y)/g2^16 + (g2^13*t^8.45*y)/g1 + (g2^5*t^8.52*y)/g1^5 + (g1^3*t^8.55*y)/g2^15 + g1^2*g2^14*t^8.58*y - (g2^6*t^8.66*y)/g1^2 - (t^8.73*y)/(g1^6*g2^2) + (g1^2*t^8.75*y)/g2^22 + 2*g1*g2^7*t^8.79*y + (2*t^8.86*y)/(g1^3*g2) - g1^4*g2^8*t^8.93*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4852 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6918 | 0.8766 | 0.7892 | [X:[], M:[1.0397, 0.7938, 1.0012, 0.8323, 1.1677, 1.0833, 0.7479, 0.9988, 0.6708], q:[0.5634, 0.3969], qb:[0.4354, 0.7708], phi:[0.4584]] | t^2.01 + t^2.24 + t^2.38 + t^2.5 + t^3. + t^3.12 + t^3.25 + t^3.5 + t^3.87 + t^4. + t^4.02 + 2*t^4.26 + t^4.37 + t^4.39 + t^4.49 + t^4.51 + t^4.62 + t^4.74 + 2*t^4.76 + t^4.88 + t^4.99 + t^5.01 + t^5.13 + t^5.24 + t^5.26 + t^5.36 + t^5.38 + 2*t^5.49 + t^5.52 + t^5.63 + 2*t^5.75 + t^5.88 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*y | detail |