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 |
---|---|---|---|---|---|---|---|---|---|
2700 | 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$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_5M_8$ | 0.7308 | 0.9154 | 0.7983 | [X:[], M:[1.0576, 0.8505, 0.9424, 0.9657, 1.0343, 0.9424, 0.6725, 0.9657], q:[0.5172, 0.4252], qb:[0.5405, 0.6091], phi:[0.477]] | [X:[], M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [-12, -4], [17, 19], [8, -8]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_8$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_7$, $ M_6M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_6$, $ M_7q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_2M_8$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_4M_6$, $ M_3M_8$, $ M_6M_8$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$ | . | -4 | t^2.02 + t^2.55 + 2*t^2.83 + t^2.86 + 2*t^2.9 + t^3.38 + t^4.03 + t^4.26 + t^4.33 + 2*t^4.53 + t^4.57 + t^4.6 + t^4.67 + t^4.81 + 2*t^4.84 + 2*t^4.88 + 2*t^4.91 + t^5.09 + t^5.1 + 2*t^5.38 + t^5.4 + t^5.41 + t^5.45 + 2*t^5.65 + 2*t^5.69 + 3*t^5.72 + 2*t^5.76 + 2*t^5.79 - 4*t^6. + t^6.05 - t^6.07 + t^6.21 + t^6.24 + t^6.55 + t^6.59 + t^6.62 + t^6.69 + t^6.76 + t^6.81 + t^6.83 + 2*t^6.86 + 2*t^6.9 + 2*t^6.93 + 3*t^7.09 + t^7.1 + t^7.12 + 2*t^7.16 + t^7.19 + 2*t^7.23 + 3*t^7.36 + 3*t^7.4 + t^7.41 + 3*t^7.43 + t^7.47 + 2*t^7.5 + t^7.54 + 2*t^7.57 + 2*t^7.64 + t^7.65 + t^7.67 + 2*t^7.71 + 3*t^7.74 + 2*t^7.78 + t^7.81 + 3*t^7.91 + 2*t^7.93 + t^7.97 + t^8. - 5*t^8.02 + t^8.07 - t^8.09 + t^8.19 + 2*t^8.21 + 2*t^8.24 + t^8.26 + t^8.28 + t^8.31 + t^8.35 + t^8.46 + 2*t^8.48 + 2*t^8.52 - t^8.55 + t^8.57 + 3*t^8.59 + t^8.6 + 3*t^8.62 + t^8.64 + 2*t^8.66 + 2*t^8.69 + t^8.71 + t^8.77 + t^8.79 - 9*t^8.83 + t^8.84 - 3*t^8.86 + 2*t^8.88 - 8*t^8.9 + 2*t^8.91 + 2*t^8.95 - 2*t^8.97 - t^4.43/y - t^6.45/y - t^6.98/y - t^7.26/y - t^7.29/y - t^7.33/y + t^7.53/y + (2*t^7.57)/y + t^7.6/y + (2*t^7.84)/y + (2*t^7.88)/y + (2*t^7.91)/y + (2*t^8.38)/y + t^8.4/y + (2*t^8.41)/y + (2*t^8.45)/y - t^8.47/y + t^8.65/y + (2*t^8.69)/y + (4*t^8.72)/y + (2*t^8.76)/y + t^8.79/y + t^8.93/y - t^4.43*y - t^6.45*y - t^6.98*y - t^7.26*y - t^7.29*y - t^7.33*y + t^7.53*y + 2*t^7.57*y + t^7.6*y + 2*t^7.84*y + 2*t^7.88*y + 2*t^7.91*y + 2*t^8.38*y + t^8.4*y + 2*t^8.41*y + 2*t^8.45*y - t^8.47*y + t^8.65*y + 2*t^8.69*y + 4*t^8.72*y + 2*t^8.76*y + t^8.79*y + t^8.93*y | g1^17*g2^19*t^2.02 + t^2.55/(g1^16*g2^16) + (2*t^2.83)/(g1^12*g2^4) + t^2.86/(g1^2*g2^6) + (2*g1^8*t^2.9)/g2^8 + (g2^20*t^3.38)/g1^4 + g1^34*g2^38*t^4.03 + t^4.26/(g1^13*g2^7) + (g1^7*t^4.33)/g2^11 + (2*g2^5*t^4.53)/g1^9 + g1*g2^3*t^4.57 + g1^11*g2*t^4.6 + (g1^31*t^4.67)/g2^3 + (g2^17*t^4.81)/g1^5 + 2*g1^5*g2^15*t^4.84 + 2*g1^15*g2^13*t^4.88 + 2*g1^25*g2^11*t^4.91 + (g2^29*t^5.09)/g1 + t^5.1/(g1^32*g2^32) + (2*t^5.38)/(g1^28*g2^20) + g1^13*g2^39*t^5.4 + t^5.41/(g1^18*g2^22) + t^5.45/(g1^8*g2^24) + (2*t^5.65)/(g1^24*g2^8) + (2*t^5.69)/(g1^14*g2^10) + (3*t^5.72)/(g1^4*g2^12) + (2*g1^6*t^5.76)/g2^14 + (2*g1^16*t^5.79)/g2^16 - 4*t^6. + g1^51*g2^57*t^6.05 - (g1^20*t^6.07)/g2^4 + (g2^16*t^6.21)/g1^16 + (g2^14*t^6.24)/g1^6 + g1^8*g2^24*t^6.55 + g1^18*g2^22*t^6.59 + g1^28*g2^20*t^6.62 + g1^48*g2^16*t^6.69 + (g2^40*t^6.76)/g1^8 + t^6.81/(g1^29*g2^23) + g1^12*g2^36*t^6.83 + 2*g1^22*g2^34*t^6.86 + 2*g1^32*g2^32*t^6.9 + 2*g1^42*g2^30*t^6.93 + (3*t^7.09)/(g1^25*g2^11) + g1^16*g2^48*t^7.1 + t^7.12/(g1^15*g2^13) + (2*t^7.16)/(g1^5*g2^15) + (g1^5*t^7.19)/g2^17 + (2*g1^15*t^7.23)/g2^19 + (3*g2*t^7.36)/g1^21 + (3*t^7.4)/(g1^11*g2) + g1^30*g2^58*t^7.41 + (3*t^7.43)/(g1*g2^3) + (g1^9*t^7.47)/g2^5 + (2*g1^19*t^7.5)/g2^7 + (g1^29*t^7.54)/g2^9 + (2*g1^39*t^7.57)/g2^11 + (2*g2^13*t^7.64)/g1^17 + t^7.65/(g1^48*g2^48) + (g2^11*t^7.67)/g1^7 + 2*g1^3*g2^9*t^7.71 + 3*g1^13*g2^7*t^7.74 + 2*g1^23*g2^5*t^7.78 + g1^33*g2^3*t^7.81 + (3*g2^25*t^7.91)/g1^13 + (2*t^7.93)/(g1^44*g2^36) + t^7.97/(g1^34*g2^38) + t^8./(g1^24*g2^40) - 5*g1^17*g2^19*t^8.02 + g1^68*g2^76*t^8.07 - g1^37*g2^15*t^8.09 + (g2^37*t^8.19)/g1^9 + (2*t^8.21)/(g1^40*g2^24) + (2*t^8.24)/(g1^30*g2^26) + g1^11*g2^33*t^8.26 + t^8.28/(g1^20*g2^28) + t^8.31/(g1^10*g2^30) + t^8.35/g2^32 + (g2^49*t^8.46)/g1^5 + (2*t^8.48)/(g1^36*g2^12) + (2*t^8.52)/(g1^26*g2^14) - t^8.55/(g1^16*g2^16) + g1^25*g2^43*t^8.57 + (3*t^8.59)/(g1^6*g2^18) + g1^35*g2^41*t^8.6 + (3*g1^4*t^8.62)/g2^20 + g1^45*g2^39*t^8.64 + (2*g1^14*t^8.66)/g2^22 + (2*g1^24*t^8.69)/g2^24 + g1^65*g2^35*t^8.71 + g1^9*g2^59*t^8.77 + t^8.79/(g1^22*g2^2) - (9*t^8.83)/(g1^12*g2^4) + g1^29*g2^55*t^8.84 - (3*t^8.86)/(g1^2*g2^6) + 2*g1^39*g2^53*t^8.88 - (8*g1^8*t^8.9)/g2^8 + 2*g1^49*g2^51*t^8.91 + 2*g1^59*g2^49*t^8.95 - (2*g1^28*t^8.97)/g2^12 - t^4.43/(g1*g2^3*y) - (g1^16*g2^16*t^6.45)/y - t^6.98/(g1^17*g2^19*y) - t^7.26/(g1^13*g2^7*y) - t^7.29/(g1^3*g2^9*y) - (g1^7*t^7.33)/(g2^11*y) + (g2^5*t^7.53)/(g1^9*y) + (2*g1*g2^3*t^7.57)/y + (g1^11*g2*t^7.6)/y + (2*g1^5*g2^15*t^7.84)/y + (2*g1^15*g2^13*t^7.88)/y + (2*g1^25*g2^11*t^7.91)/y + (2*t^8.38)/(g1^28*g2^20*y) + (g1^13*g2^39*t^8.4)/y + (2*t^8.41)/(g1^18*g2^22*y) + (2*t^8.45)/(g1^8*g2^24*y) - (g1^33*g2^35*t^8.47)/y + t^8.65/(g1^24*g2^8*y) + (2*t^8.69)/(g1^14*g2^10*y) + (4*t^8.72)/(g1^4*g2^12*y) + (2*g1^6*t^8.76)/(g2^14*y) + (g1^16*t^8.79)/(g2^16*y) + (g2^4*t^8.93)/(g1^20*y) - (t^4.43*y)/(g1*g2^3) - g1^16*g2^16*t^6.45*y - (t^6.98*y)/(g1^17*g2^19) - (t^7.26*y)/(g1^13*g2^7) - (t^7.29*y)/(g1^3*g2^9) - (g1^7*t^7.33*y)/g2^11 + (g2^5*t^7.53*y)/g1^9 + 2*g1*g2^3*t^7.57*y + g1^11*g2*t^7.6*y + 2*g1^5*g2^15*t^7.84*y + 2*g1^15*g2^13*t^7.88*y + 2*g1^25*g2^11*t^7.91*y + (2*t^8.38*y)/(g1^28*g2^20) + g1^13*g2^39*t^8.4*y + (2*t^8.41*y)/(g1^18*g2^22) + (2*t^8.45*y)/(g1^8*g2^24) - g1^33*g2^35*t^8.47*y + (t^8.65*y)/(g1^24*g2^8) + (2*t^8.69*y)/(g1^14*g2^10) + (4*t^8.72*y)/(g1^4*g2^12) + (2*g1^6*t^8.76*y)/g2^14 + (g1^16*t^8.79*y)/g2^16 + (g2^4*t^8.93*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|---|
1569 | 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$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.7289 | 0.9135 | 0.7979 | [X:[], M:[1.0715, 0.8502, 0.9285, 0.9933, 1.0067, 0.9285, 0.6694], q:[0.5033, 0.4251], qb:[0.5682, 0.5816], phi:[0.4804]] | t^2.01 + t^2.55 + 2*t^2.79 + t^2.88 + t^2.98 + t^3.02 + t^3.25 + t^4.02 + t^4.23 + t^4.42 + 2*t^4.46 + t^4.56 + t^4.66 + t^4.7 + 2*t^4.79 + t^4.85 + 2*t^4.89 + t^4.93 + t^4.99 + t^5.03 + t^5.1 + t^5.26 + 2*t^5.34 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.77 + 2*t^5.81 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |