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 |
---|---|---|---|---|---|---|---|---|---|
1374 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6929 | 0.9101 | 0.7613 | [X:[], M:[0.811, 1.189, 0.811, 0.7075, 1.1463, 0.689, 0.6706], q:[0.75, 0.439], qb:[0.3963, 0.4147], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0], [-1, -1], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6M_7$, $ M_6^2$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_4^2$, $ M_1M_7$, $ M_3M_7$, $ M_1M_6$, $ M_3M_6$, $ M_7q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_6q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7\phi_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_5M_7$, $ M_7q_1\tilde{q}_1$, $ M_5M_6$, $ M_6q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_4M_5$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | . | -2 | t^2.01 + t^2.07 + t^2.12 + 2*t^2.43 + t^2.51 + t^3. + 2*t^3.44 + t^3.49 + t^4.01 + t^4.02 + t^4.06 + t^4.08 + 3*t^4.13 + t^4.19 + t^4.24 + 2*t^4.44 + 2*t^4.5 + t^4.52 + 2*t^4.56 + t^4.57 + t^4.63 + 3*t^4.87 + 2*t^4.94 + 2*t^5.01 + t^5.07 + t^5.12 + 2*t^5.43 + 2*t^5.45 + 4*t^5.51 + 3*t^5.56 + t^5.62 + 3*t^5.87 + t^5.93 + t^5.94 - 2*t^6. + t^6.02 + t^6.04 - t^6.06 + t^6.07 + t^6.09 + t^6.13 + 3*t^6.15 + t^6.18 + 3*t^6.2 + 3*t^6.26 + t^6.31 + t^6.37 + 2*t^6.44 + 2*t^6.46 + t^6.49 + 3*t^6.51 + t^6.53 + 5*t^6.57 + t^6.58 + 2*t^6.62 + 3*t^6.64 + 2*t^6.68 + t^6.7 + t^6.75 + 5*t^6.88 + 3*t^6.93 + 2*t^6.95 + 3*t^6.99 + t^7.01 + 2*t^7.02 + t^7.06 + 2*t^7.08 + 3*t^7.13 + t^7.19 + t^7.24 + 4*t^7.3 + t^7.37 - 2*t^7.43 + 4*t^7.44 + 2*t^7.46 + t^7.5 + 5*t^7.52 + t^7.56 + 6*t^7.57 + 4*t^7.63 + 3*t^7.68 + t^7.74 + 2*t^7.87 + 3*t^7.88 + 4*t^7.94 + t^7.96 + 2*t^7.99 + t^8.03 + 2*t^8.05 - 3*t^8.07 + t^8.08 + t^8.1 - 3*t^8.12 + 2*t^8.14 + 3*t^8.16 - t^8.18 + 2*t^8.2 + 3*t^8.21 + t^8.25 + 6*t^8.27 + 4*t^8.3 + t^8.31 + 3*t^8.32 + t^8.36 + 4*t^8.38 - 4*t^8.43 + 3*t^8.45 + 2*t^8.47 - t^8.49 - t^8.51 + 3*t^8.52 + t^8.54 + 5*t^8.58 + t^8.6 + t^8.62 + 5*t^8.63 + 3*t^8.65 + 5*t^8.69 + 3*t^8.71 + 2*t^8.74 + 3*t^8.76 + 2*t^8.8 + t^8.82 + 3*t^8.87 + 5*t^8.89 + 6*t^8.94 + 2*t^8.96 - t^4.5/y - t^6.51/y - t^6.57/y - t^6.62/y - t^6.93/y + t^7.06/y + t^7.08/y + t^7.13/y + t^7.19/y + (2*t^7.44)/y + (2*t^7.5)/y + t^7.52/y + (2*t^7.56)/y + t^7.57/y + t^7.63/y + t^7.87/y + t^7.94/y + t^8.01/y + (2*t^8.07)/y + t^8.12/y + t^8.38/y + (3*t^8.43)/y + (2*t^8.45)/y + t^8.49/y + (4*t^8.51)/y - t^8.52/y + (3*t^8.56)/y - t^8.58/y + t^8.62/y - (2*t^8.63)/y - t^8.69/y - t^8.74/y + (4*t^8.87)/y + (2*t^8.93)/y + t^8.94/y - t^4.5*y - t^6.51*y - t^6.57*y - t^6.62*y - t^6.93*y + t^7.06*y + t^7.08*y + t^7.13*y + t^7.19*y + 2*t^7.44*y + 2*t^7.5*y + t^7.52*y + 2*t^7.56*y + t^7.57*y + t^7.63*y + t^7.87*y + t^7.94*y + t^8.01*y + 2*t^8.07*y + t^8.12*y + t^8.38*y + 3*t^8.43*y + 2*t^8.45*y + t^8.49*y + 4*t^8.51*y - t^8.52*y + 3*t^8.56*y - t^8.58*y + t^8.62*y - 2*t^8.63*y - t^8.69*y - t^8.74*y + 4*t^8.87*y + 2*t^8.93*y + t^8.94*y | t^2.01/g2^2 + t^2.07/(g1*g2) + t^2.12/g1^2 + 2*g1*g2*t^2.43 + t^2.51/g2 + t^3. + 2*g1*t^3.44 + g2*t^3.49 + t^4.01/g2 + t^4.02/g2^4 + t^4.06/g1 + t^4.08/(g1*g2^3) + (3*t^4.13)/(g1^2*g2^2) + t^4.19/(g1^3*g2) + t^4.24/g1^4 + (2*g1*t^4.44)/g2 + 2*t^4.5 + t^4.52/g2^3 + (2*g2*t^4.56)/g1 + t^4.57/(g1*g2^2) + t^4.63/(g1^2*g2) + 3*g1^2*g2^2*t^4.87 + 2*g1*t^4.94 + (2*t^5.01)/g2^2 + t^5.07/(g1*g2) + t^5.12/g1^2 + 2*g1*g2*t^5.43 + (2*g1*t^5.45)/g2^2 + (4*t^5.51)/g2 + (3*t^5.56)/g1 + (g2*t^5.62)/g1^2 + 3*g1^2*g2*t^5.87 + g1*g2^2*t^5.93 + (g1*t^5.94)/g2 - 2*t^6. + t^6.02/g2^3 + t^6.04/g2^6 - (g2*t^6.06)/g1 + t^6.07/(g1*g2^2) + t^6.09/(g1*g2^5) + t^6.13/(g1^2*g2) + (3*t^6.15)/(g1^2*g2^4) + t^6.18/g1^3 + (3*t^6.2)/(g1^3*g2^3) + (3*t^6.26)/(g1^4*g2^2) + t^6.31/(g1^5*g2) + t^6.37/g1^6 + 2*g1*t^6.44 + (2*g1*t^6.46)/g2^3 + g2*t^6.49 + (3*t^6.51)/g2^2 + t^6.53/g2^5 + (5*t^6.57)/(g1*g2) + t^6.58/(g1*g2^4) + (2*t^6.62)/g1^2 + (3*t^6.64)/(g1^2*g2^3) + (2*g2*t^6.68)/g1^3 + t^6.7/(g1^3*g2^2) + t^6.75/(g1^4*g2) + 5*g1^2*t^6.88 + 3*g1*g2*t^6.93 + (2*g1*t^6.95)/g2^2 + 3*g2^2*t^6.99 + t^7.01/g2 + (2*t^7.02)/g2^4 + t^7.06/g1 + (2*t^7.08)/(g1*g2^3) + (3*t^7.13)/(g1^2*g2^2) + t^7.19/(g1^3*g2) + t^7.24/g1^4 + 4*g1^3*g2^3*t^7.3 + g1^2*g2*t^7.37 - 2*g1*g2^2*t^7.43 + (4*g1*t^7.44)/g2 + (2*g1*t^7.46)/g2^4 + t^7.5 + (5*t^7.52)/g2^3 + (g2*t^7.56)/g1 + (6*t^7.57)/(g1*g2^2) + (4*t^7.63)/(g1^2*g2) + (3*t^7.68)/g1^3 + (g2*t^7.74)/g1^4 + 2*g1^2*g2^2*t^7.87 + (3*g1^2*t^7.88)/g2 + 4*g1*t^7.94 + (g1*t^7.96)/g2^3 + 2*g2*t^7.99 + t^8.03/g2^5 + t^8.05/g2^8 + (g2^2*t^8.05)/g1 - (3*t^8.07)/(g1*g2) + t^8.08/(g1*g2^4) + t^8.1/(g1*g2^7) - (3*t^8.12)/g1^2 + (2*t^8.14)/(g1^2*g2^3) + (3*t^8.16)/(g1^2*g2^6) - (g2*t^8.18)/g1^3 + (2*t^8.2)/(g1^3*g2^2) + (3*t^8.21)/(g1^3*g2^5) + t^8.25/(g1^4*g2) + (6*t^8.27)/(g1^4*g2^4) + 4*g1^3*g2^2*t^8.3 + t^8.31/g1^5 + (3*t^8.32)/(g1^5*g2^3) + g1^2*g2^3*t^8.36 + g1^2*t^8.38 + (3*t^8.38)/(g1^6*g2^2) + t^8.43/(g1^7*g2) - 5*g1*g2*t^8.43 + (3*g1*t^8.45)/g2^2 + (2*g1*t^8.47)/g2^5 + t^8.49/g1^8 - 2*g2^2*t^8.49 - t^8.51/g2 + (3*t^8.52)/g2^4 + t^8.54/g2^7 + (5*t^8.58)/(g1*g2^3) + t^8.6/(g1*g2^6) + (g2*t^8.62)/g1^2 + (5*t^8.63)/(g1^2*g2^2) + (3*t^8.65)/(g1^2*g2^5) + (5*t^8.69)/(g1^3*g2) + (3*t^8.71)/(g1^3*g2^4) + (2*t^8.74)/g1^4 + (3*t^8.76)/(g1^4*g2^3) + (2*g2*t^8.8)/g1^5 + t^8.82/(g1^5*g2^2) + t^8.87/(g1^6*g2) + 2*g1^2*g2*t^8.87 + (5*g1^2*t^8.89)/g2^2 + (6*g1*t^8.94)/g2 + (2*g1*t^8.96)/g2^4 - t^4.5/y - t^6.51/(g2^2*y) - t^6.57/(g1*g2*y) - t^6.62/(g1^2*y) - (g1*g2*t^6.93)/y + t^7.06/(g1*y) + t^7.08/(g1*g2^3*y) + t^7.13/(g1^2*g2^2*y) + t^7.19/(g1^3*g2*y) + (2*g1*t^7.44)/(g2*y) + (2*t^7.5)/y + t^7.52/(g2^3*y) + (2*g2*t^7.56)/(g1*y) + t^7.57/(g1*g2^2*y) + t^7.63/(g1^2*g2*y) + (g1^2*g2^2*t^7.87)/y + (g1*t^7.94)/y + t^8.01/(g2^2*y) + (2*t^8.07)/(g1*g2*y) + t^8.12/(g1^2*y) + (g1^2*t^8.38)/y + (3*g1*g2*t^8.43)/y + (2*g1*t^8.45)/(g2^2*y) + (g2^2*t^8.49)/y + (4*t^8.51)/(g2*y) - t^8.52/(g2^4*y) + (3*t^8.56)/(g1*y) - t^8.58/(g1*g2^3*y) + (g2*t^8.62)/(g1^2*y) - (2*t^8.63)/(g1^2*g2^2*y) - t^8.69/(g1^3*g2*y) - t^8.74/(g1^4*y) + (4*g1^2*g2*t^8.87)/y + (2*g1*g2^2*t^8.93)/y + (g1*t^8.94)/(g2*y) - t^4.5*y - (t^6.51*y)/g2^2 - (t^6.57*y)/(g1*g2) - (t^6.62*y)/g1^2 - g1*g2*t^6.93*y + (t^7.06*y)/g1 + (t^7.08*y)/(g1*g2^3) + (t^7.13*y)/(g1^2*g2^2) + (t^7.19*y)/(g1^3*g2) + (2*g1*t^7.44*y)/g2 + 2*t^7.5*y + (t^7.52*y)/g2^3 + (2*g2*t^7.56*y)/g1 + (t^7.57*y)/(g1*g2^2) + (t^7.63*y)/(g1^2*g2) + g1^2*g2^2*t^7.87*y + g1*t^7.94*y + (t^8.01*y)/g2^2 + (2*t^8.07*y)/(g1*g2) + (t^8.12*y)/g1^2 + g1^2*t^8.38*y + 3*g1*g2*t^8.43*y + (2*g1*t^8.45*y)/g2^2 + g2^2*t^8.49*y + (4*t^8.51*y)/g2 - (t^8.52*y)/g2^4 + (3*t^8.56*y)/g1 - (t^8.58*y)/(g1*g2^3) + (g2*t^8.62*y)/g1^2 - (2*t^8.63*y)/(g1^2*g2^2) - (t^8.69*y)/(g1^3*g2) - (t^8.74*y)/g1^4 + 4*g1^2*g2*t^8.87*y + 2*g1*g2^2*t^8.93*y + (g1*t^8.94*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|---|
882 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6721 | 0.8687 | 0.7736 | [X:[], M:[0.8103, 1.1897, 0.8103, 0.7064, 1.1468, 0.6897], q:[0.75, 0.4397], qb:[0.3968, 0.4135], phi:[0.5]] | t^2.07 + t^2.12 + 2*t^2.43 + t^2.51 + t^3. + 2*t^3.44 + t^3.49 + t^3.98 + t^4.01 + t^4.06 + 2*t^4.14 + t^4.19 + t^4.24 + 2*t^4.5 + 2*t^4.55 + t^4.58 + t^4.63 + 3*t^4.86 + 2*t^4.94 + t^5.02 + t^5.07 + t^5.12 + 2*t^5.43 + 3*t^5.51 + 3*t^5.56 + t^5.61 + 3*t^5.87 + t^5.92 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |