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 |
---|---|---|---|---|---|---|---|---|---|
48168 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6733 | 0.8548 | 0.7876 | [X:[], M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_2$, $ \phi_1^2$, $ M_6$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_5\phi_1^2$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_4M_5$, $ M_2M_6$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6^2$, $ M_4M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_6$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_5\phi_1q_1q_2$, $ M_1M_6$, $ M_5\phi_1q_2^2$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_1q_2$ | t^2.04 + t^2.13 + t^2.3 + t^2.39 + t^2.46 + t^2.55 + t^3.45 + t^3.7 + t^3.79 + t^4.09 + t^4.18 + t^4.27 + t^4.34 + 2*t^4.43 + t^4.51 + t^4.52 + 3*t^4.6 + 2*t^4.69 + t^4.76 + t^4.78 + 3*t^4.85 + t^4.92 + t^4.94 + t^5.01 + t^5.1 + t^5.49 + t^5.58 + t^5.75 + 2*t^5.84 + t^5.93 - t^6. + t^6.09 + t^6.13 + t^6.18 + t^6.22 + t^6.25 + t^6.31 + t^6.34 + t^6.39 + t^6.4 + 2*t^6.48 + t^6.55 + 2*t^6.57 + 3*t^6.64 + t^6.66 + 4*t^6.73 + t^6.8 + 3*t^6.82 + 5*t^6.9 + t^6.91 + t^6.97 + 4*t^6.99 + 2*t^7.06 + 2*t^7.08 + 3*t^7.15 + t^7.17 + t^7.22 + 3*t^7.24 + t^7.31 + t^7.33 + t^7.39 + t^7.48 + t^7.49 + t^7.54 + t^7.58 + t^7.63 + t^7.72 + t^7.79 + 2*t^7.88 + 2*t^7.97 - t^8.04 + t^8.06 - t^8.13 + t^8.18 - t^8.21 + 2*t^8.23 + t^8.27 - t^8.3 + t^8.32 + t^8.36 - t^8.39 + t^8.43 + t^8.45 - 4*t^8.46 + 2*t^8.48 + 2*t^8.52 + t^8.54 - 3*t^8.55 + t^8.57 + t^8.59 + 2*t^8.61 + t^8.64 + 3*t^8.69 + 2*t^8.7 - t^8.72 + t^8.73 + 4*t^8.78 + t^8.79 + t^8.85 + 5*t^8.87 + t^8.9 + 5*t^8.94 + 3*t^8.96 - t^4.15/y - t^6.19/y - t^6.28/y - t^6.45/y - t^6.54/y - t^6.61/y + t^7.18/y + t^7.34/y + (2*t^7.43)/y + t^7.51/y + t^7.52/y + (2*t^7.6)/y + (3*t^7.69)/y + (2*t^7.76)/y + (3*t^7.85)/y + t^7.94/y + (2*t^8.01)/y + t^8.1/y - t^8.24/y - t^8.33/y - t^8.42/y - t^8.58/y - t^8.66/y - t^8.67/y + (2*t^8.84)/y - t^4.15*y - t^6.19*y - t^6.28*y - t^6.45*y - t^6.54*y - t^6.61*y + t^7.18*y + t^7.34*y + 2*t^7.43*y + t^7.51*y + t^7.52*y + 2*t^7.6*y + 3*t^7.69*y + 2*t^7.76*y + 3*t^7.85*y + t^7.94*y + 2*t^8.01*y + t^8.1*y - t^8.24*y - t^8.33*y - t^8.42*y - t^8.58*y - t^8.66*y - t^8.67*y + 2*t^8.84*y | t^2.04/(g1^7*g2^7) + g1^2*g2^4*t^2.13 + t^2.3/(g1^2*g2^2) + g1^7*g2^9*t^2.39 + t^2.46/(g1^6*g2^8) + g1^3*g2^3*t^2.55 + t^3.45/(g1^3*g2^3) + g1^2*g2^2*t^3.7 + g1^11*g2^13*t^3.79 + t^4.09/(g1^14*g2^14) + t^4.18/(g1^5*g2^3) + g1^4*g2^8*t^4.27 + t^4.34/(g1^9*g2^9) + 2*g2^2*t^4.43 + t^4.51/(g1^13*g2^15) + g1^9*g2^13*t^4.52 + (3*t^4.6)/(g1^4*g2^4) + 2*g1^5*g2^7*t^4.69 + t^4.76/(g1^8*g2^10) + g1^14*g2^18*t^4.78 + 3*g1*g2*t^4.85 + t^4.92/(g1^12*g2^16) + g1^10*g2^12*t^4.94 + t^5.01/(g1^3*g2^5) + g1^6*g2^6*t^5.1 + t^5.49/(g1^10*g2^10) + (g2*t^5.58)/g1 + t^5.75/(g1^5*g2^5) + 2*g1^4*g2^6*t^5.84 + g1^13*g2^17*t^5.93 - t^6. + g1^9*g2^11*t^6.09 + t^6.13/(g1^21*g2^21) + g1^18*g2^22*t^6.18 + t^6.22/(g1^12*g2^10) + g1^5*g2^5*t^6.25 + (g2*t^6.31)/g1^3 + g1^14*g2^16*t^6.34 + t^6.39/(g1^16*g2^16) + g1^6*g2^12*t^6.4 + (2*t^6.48)/(g1^7*g2^5) + t^6.55/(g1^20*g2^22) + 2*g1^2*g2^6*t^6.57 + (3*t^6.64)/(g1^11*g2^11) + g1^11*g2^17*t^6.66 + (4*t^6.73)/g1^2 + t^6.8/(g1^15*g2^17) + 3*g1^7*g2^11*t^6.82 + (5*t^6.9)/(g1^6*g2^6) + g1^16*g2^22*t^6.91 + t^6.97/(g1^19*g2^23) + 4*g1^3*g2^5*t^6.99 + (2*t^7.06)/(g1^10*g2^12) + 2*g1^12*g2^16*t^7.08 + (3*t^7.15)/(g1*g2) + g1^21*g2^27*t^7.17 + t^7.22/(g1^14*g2^18) + 3*g1^8*g2^10*t^7.24 + t^7.31/(g1^5*g2^7) + g1^17*g2^21*t^7.33 + t^7.39/(g1^18*g2^24) + t^7.48/(g1^9*g2^13) + g1^13*g2^15*t^7.49 + t^7.54/(g1^17*g2^17) + g1^22*g2^26*t^7.58 + t^7.63/(g1^8*g2^6) + g1*g2^5*t^7.72 + t^7.79/(g1^12*g2^12) + (2*t^7.88)/(g1^3*g2) + 2*g1^6*g2^10*t^7.97 - t^8.04/(g1^7*g2^7) + g1^15*g2^21*t^8.06 - g1^2*g2^4*t^8.13 + t^8.18/(g1^28*g2^28) - t^8.21/(g1^11*g2^13) + 2*g1^11*g2^15*t^8.23 + t^8.27/(g1^19*g2^17) - t^8.3/(g1^2*g2^2) + g1^20*g2^26*t^8.32 + t^8.36/(g1^10*g2^6) - g1^7*g2^9*t^8.39 + t^8.43/(g1^23*g2^23) + (g2^5*t^8.45)/g1 - (4*t^8.46)/(g1^6*g2^8) + 2*g1^16*g2^20*t^8.48 + (2*t^8.52)/(g1^14*g2^12) + g1^8*g2^16*t^8.54 - 3*g1^3*g2^3*t^8.55 + g1^25*g2^31*t^8.57 + t^8.59/(g1^27*g2^29) + (2*t^8.61)/(g1^5*g2) + g1^12*g2^14*t^8.64 + (3*t^8.69)/(g1^18*g2^18) + 2*g1^4*g2^10*t^8.7 - t^8.72/(g1*g2^3) + g1^21*g2^25*t^8.73 + (4*t^8.78)/(g1^9*g2^7) + g1^13*g2^21*t^8.79 + t^8.85/(g1^22*g2^24) + 5*g2^4*t^8.87 + g1^17*g2^19*t^8.9 + (5*t^8.94)/(g1^13*g2^13) + 3*g1^9*g2^15*t^8.96 - t^4.15/(g1*g2*y) - t^6.19/(g1^8*g2^8*y) - (g1*g2^3*t^6.28)/y - t^6.45/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.54)/y - t^6.61/(g1^7*g2^9*y) + t^7.18/(g1^5*g2^3*y) + t^7.34/(g1^9*g2^9*y) + (2*g2^2*t^7.43)/y + t^7.51/(g1^13*g2^15*y) + (g1^9*g2^13*t^7.52)/y + (2*t^7.6)/(g1^4*g2^4*y) + (3*g1^5*g2^7*t^7.69)/y + (2*t^7.76)/(g1^8*g2^10*y) + (3*g1*g2*t^7.85)/y + (g1^10*g2^12*t^7.94)/y + (2*t^8.01)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.1)/y - t^8.24/(g1^15*g2^15*y) - t^8.33/(g1^6*g2^4*y) - (g1^3*g2^7*t^8.42)/y - (g2*t^8.58)/(g1*y) - t^8.66/(g1^14*g2^16*y) - (g1^8*g2^12*t^8.67)/y + (2*g1^4*g2^6*t^8.84)/y - (t^4.15*y)/(g1*g2) - (t^6.19*y)/(g1^8*g2^8) - g1*g2^3*t^6.28*y - (t^6.45*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.54*y - (t^6.61*y)/(g1^7*g2^9) + (t^7.18*y)/(g1^5*g2^3) + (t^7.34*y)/(g1^9*g2^9) + 2*g2^2*t^7.43*y + (t^7.51*y)/(g1^13*g2^15) + g1^9*g2^13*t^7.52*y + (2*t^7.6*y)/(g1^4*g2^4) + 3*g1^5*g2^7*t^7.69*y + (2*t^7.76*y)/(g1^8*g2^10) + 3*g1*g2*t^7.85*y + g1^10*g2^12*t^7.94*y + (2*t^8.01*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.1*y - (t^8.24*y)/(g1^15*g2^15) - (t^8.33*y)/(g1^6*g2^4) - g1^3*g2^7*t^8.42*y - (g2*t^8.58*y)/g1 - (t^8.66*y)/(g1^14*g2^16) - g1^8*g2^12*t^8.67*y + 2*g1^4*g2^6*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
50867 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 0.6731 | 0.854 | 0.7881 | [X:[], M:[1.1481, 0.7221, 0.8519, 0.8087, 0.6789, 0.8087], q:[0.4043, 0.4476], qb:[0.8736, 0.7438], phi:[0.3827]] | t^2.04 + t^2.17 + t^2.3 + 2*t^2.43 + t^2.56 + t^3.44 + t^3.7 + t^3.83 + t^4.07 + t^4.2 + 2*t^4.33 + 3*t^4.46 + 4*t^4.59 + 3*t^4.72 + 5*t^4.85 + 2*t^4.98 + t^5.11 + t^5.48 + t^5.61 + t^5.74 + 2*t^5.87 - t^4.15/y - t^4.15*y | detail | |
55915 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_5^2$ | 0.6092 | 0.7767 | 0.7842 | [X:[], M:[1.2857, 0.8901, 0.7143, 0.8242, 1.0, 0.7472], q:[0.4121, 0.3022], qb:[0.6978, 0.8736], phi:[0.4286]] | t^2.14 + t^2.24 + t^2.47 + t^2.57 + t^2.67 + t^3. + t^3.1 + t^3.43 + t^3.86 + t^4.29 + t^4.38 + t^4.48 + t^4.62 + 3*t^4.71 + 2*t^4.81 + t^4.91 + t^4.95 + t^5.04 + 3*t^5.14 + 3*t^5.24 + 2*t^5.34 + t^5.47 + 2*t^5.57 + 2*t^5.67 + t^5.77 - t^4.29/y - t^4.29*y | detail | |
50948 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6644 | 0.8389 | 0.792 | [X:[], M:[1.1879, 0.8121, 0.8121, 0.7717, 0.7717, 0.8324], q:[0.3858, 0.4263], qb:[0.802, 0.802], phi:[0.396]] | 2*t^2.31 + t^2.38 + 2*t^2.44 + t^2.5 + t^3.56 + t^3.62 + t^3.75 + 3*t^4.63 + 2*t^4.69 + 5*t^4.75 + 5*t^4.81 + 4*t^4.87 + 2*t^4.93 + t^4.99 + t^5.88 + t^5.94 - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
46634 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[1.1451, 0.7351, 0.8549, 0.7916, 0.6718], q:[0.3958, 0.4591], qb:[0.8691, 0.7492], phi:[0.3817]] | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail |