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 |
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972 | 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_5\phi_1^2$ + $ M_1^2$ + $ M_5M_6$ | 0.7126 | 0.8749 | 0.8145 | [X:[], M:[1.0, 0.8716, 0.9435, 0.928, 1.0642, 0.9358], q:[0.5603, 0.4397], qb:[0.4961, 0.6323], phi:[0.4679]] | [X:[], M:[[0, 0], [-4, -4], [-10, -2], [6, -2], [2, 2], [-2, -2]], q:[[6, 2], [-6, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_4^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1M_6$, $ M_1\phi_1^2$ | . | -3 | t^2.61 + t^2.78 + 2*t^2.81 + t^2.83 + t^3. + t^3.58 + t^4.04 + t^4.21 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + t^4.79 + t^4.98 + t^5.2 + t^5.23 + t^5.4 + t^5.42 + t^5.45 + t^5.57 + t^5.59 + 5*t^5.61 + t^5.64 + t^5.66 + t^5.81 - 3*t^6. - t^6.17 - t^6.22 + t^6.39 + t^6.66 + t^6.83 + 2*t^6.85 + t^6.87 + t^7. + 3*t^7.02 + t^7.04 + 2*t^7.16 + 3*t^7.19 + 2*t^7.21 + t^7.36 + 3*t^7.38 + t^7.43 + t^7.45 + t^7.55 + t^7.57 + t^7.6 + t^7.62 + t^7.79 + t^7.84 - t^7.96 + t^8. + t^8.01 + t^8.03 + t^8.04 + t^8.06 + t^8.08 - t^8.17 + t^8.18 + t^8.2 + t^8.21 + 3*t^8.23 + t^8.25 + t^8.28 + t^8.34 + t^8.35 + t^8.38 - t^8.39 + 2*t^8.4 + 6*t^8.42 + 3*t^8.45 + t^8.47 + t^8.49 + t^8.56 - t^8.61 - t^8.64 + t^8.66 + t^8.76 - 2*t^8.78 - 5*t^8.81 - 3*t^8.83 - 2*t^8.98 - t^4.4/y - t^7.02/y - t^7.19/y - t^7.21/y - t^7.23/y + t^7.57/y + t^7.6/y + t^7.62/y + t^7.79/y + t^8.4/y + (2*t^8.42)/y + t^8.45/y + (2*t^8.59)/y + (3*t^8.61)/y + (2*t^8.64)/y + t^8.78/y + (2*t^8.81)/y + t^8.83/y - t^4.4*y - t^7.02*y - t^7.19*y - t^7.21*y - t^7.23*y + t^7.57*y + t^7.6*y + t^7.62*y + t^7.79*y + t^8.4*y + 2*t^8.42*y + t^8.45*y + 2*t^8.59*y + 3*t^8.61*y + 2*t^8.64*y + t^8.78*y + 2*t^8.81*y + t^8.83*y | t^2.61/(g1^4*g2^4) + (g1^6*t^2.78)/g2^2 + (2*t^2.81)/(g1^2*g2^2) + t^2.83/(g1^10*g2^2) + t^3. + g1^6*g2^6*t^3.58 + t^4.04/(g1^13*g2^5) + t^4.21/(g1^3*g2^3) + (g1^7*t^4.38)/g2 + t^4.4/(g1*g2) + g1^9*g2*t^4.57 + (g2*t^4.62)/g1^7 + g1^11*g2^3*t^4.77 + g1^3*g2^3*t^4.79 + g1^5*g2^5*t^4.98 + (g2^7*t^5.2)/g1 + t^5.23/(g1^8*g2^8) + (g1^2*t^5.4)/g2^6 + t^5.42/(g1^6*g2^6) + t^5.45/(g1^14*g2^6) + (g1^12*t^5.57)/g2^4 + (g1^4*t^5.59)/g2^4 + (5*t^5.61)/(g1^4*g2^4) + t^5.64/(g1^12*g2^4) + t^5.66/(g1^20*g2^4) + t^5.81/(g1^2*g2^2) - 3*t^6. - g1^10*g2^2*t^6.17 - (g2^2*t^6.22)/g1^6 + g1^4*g2^4*t^6.39 + t^6.66/(g1^17*g2^9) + t^6.83/(g1^7*g2^7) + (2*t^6.85)/(g1^15*g2^7) + t^6.87/(g1^23*g2^7) + (g1^3*t^7.)/g2^5 + (3*t^7.02)/(g1^5*g2^5) + t^7.04/(g1^13*g2^5) + (g1^13*t^7.16)/g2^3 + g1^12*g2^12*t^7.16 + (3*g1^5*t^7.19)/g2^3 + (2*t^7.21)/(g1^3*g2^3) + (g1^15*t^7.36)/g2 + (3*g1^7*t^7.38)/g2 + t^7.43/(g1^9*g2) + t^7.45/(g1^17*g2) + g1^17*g2*t^7.55 + g1^9*g2*t^7.57 + g1*g2*t^7.6 + (g2*t^7.62)/g1^7 + g1^3*g2^3*t^7.79 + t^7.84/(g1^12*g2^12) - g1^13*g2^5*t^7.96 + (g2^5*t^8.)/g1^3 + t^8.01/(g1^2*g2^10) + (g2^5*t^8.03)/g1^11 + t^8.04/(g1^10*g2^10) + t^8.06/(g1^18*g2^10) + t^8.08/(g1^26*g2^10) - g1^7*g2^7*t^8.17 + (g1^8*t^8.18)/g2^8 + (g2^7*t^8.2)/g1 + t^8.21/g2^8 + (3*t^8.23)/(g1^8*g2^8) + t^8.25/(g1^16*g2^8) + t^8.28/(g1^24*g2^8) + g1^17*g2^9*t^8.34 + (g1^18*t^8.35)/g2^6 + (g1^10*t^8.38)/g2^6 - g1*g2^9*t^8.39 + (2*g1^2*t^8.4)/g2^6 + (6*t^8.42)/(g1^6*g2^6) + (3*t^8.45)/(g1^14*g2^6) + t^8.47/(g1^22*g2^6) + t^8.49/(g1^30*g2^6) + g1^11*g2^11*t^8.56 - t^8.61/(g1^4*g2^4) - t^8.64/(g1^12*g2^4) + t^8.66/(g1^20*g2^4) + (g1^14*t^8.76)/g2^2 - (3*g1^6*t^8.78)/g2^2 + g1^5*g2^13*t^8.78 - (5*t^8.81)/(g1^2*g2^2) - (3*t^8.83)/(g1^10*g2^2) - 2*g1^8*t^8.98 - t^4.4/(g1*g2*y) - t^7.02/(g1^5*g2^5*y) - (g1^5*t^7.19)/(g2^3*y) - t^7.21/(g1^3*g2^3*y) - t^7.23/(g1^11*g2^3*y) + (g1^9*g2*t^7.57)/y + (g1*g2*t^7.6)/y + (g2*t^7.62)/(g1^7*y) + (g1^3*g2^3*t^7.79)/y + (g1^2*t^8.4)/(g2^6*y) + (2*t^8.42)/(g1^6*g2^6*y) + t^8.45/(g1^14*g2^6*y) + (2*g1^4*t^8.59)/(g2^4*y) + (3*t^8.61)/(g1^4*g2^4*y) + (2*t^8.64)/(g1^12*g2^4*y) + (g1^6*t^8.78)/(g2^2*y) + (2*t^8.81)/(g1^2*g2^2*y) + t^8.83/(g1^10*g2^2*y) - (t^4.4*y)/(g1*g2) - (t^7.02*y)/(g1^5*g2^5) - (g1^5*t^7.19*y)/g2^3 - (t^7.21*y)/(g1^3*g2^3) - (t^7.23*y)/(g1^11*g2^3) + g1^9*g2*t^7.57*y + g1*g2*t^7.6*y + (g2*t^7.62*y)/g1^7 + g1^3*g2^3*t^7.79*y + (g1^2*t^8.4*y)/g2^6 + (2*t^8.42*y)/(g1^6*g2^6) + (t^8.45*y)/(g1^14*g2^6) + (2*g1^4*t^8.59*y)/g2^4 + (3*t^8.61*y)/(g1^4*g2^4) + (2*t^8.64*y)/(g1^12*g2^4) + (g1^6*t^8.78*y)/g2^2 + (2*t^8.81*y)/(g1^2*g2^2) + (t^8.83*y)/(g1^10*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|---|
603 | 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_5\phi_1^2$ + $ M_1^2$ | 0.7071 | 0.865 | 0.8174 | [X:[], M:[1.0, 0.8897, 0.9506, 0.9391, 1.0552], q:[0.5523, 0.4477], qb:[0.4971, 0.6132], phi:[0.4724]] | t^2.67 + t^2.82 + t^2.83 + t^2.85 + t^3. + t^3.17 + t^3.5 + t^4.1 + t^4.25 + t^4.4 + t^4.42 + t^4.57 + t^4.6 + t^4.73 + t^4.75 + t^4.91 + t^5.1 + t^5.34 + t^5.49 + t^5.52 + t^5.63 + 3*t^5.67 + t^5.7 + t^5.83 + t^5.98 - 2*t^6. - t^4.42/y - t^4.42*y | detail |