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 |
|---|---|---|---|---|---|---|---|---|---|
| 46182 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ | 0.6721 | 0.8687 | 0.7736 | [X:[], M:[0.8103, 0.7064, 0.6897, 1.1468], q:[0.75, 0.4397], qb:[0.3968, 0.4135], phi:[0.5]] | [X:[], M:[[1, 1], [-2, 0], [-1, -1], [1, 0]], 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 |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_2M_3$, $ M_2^2$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_1M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | . | -2 | 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^6.1 + t^6.13 + t^6.18 + 2*t^6.21 + 2*t^6.26 + t^6.31 + t^6.36 + 2*t^6.41 + 2*t^6.44 + 2*t^6.49 + t^6.52 + 3*t^6.57 + 2*t^6.62 + 2*t^6.65 + 2*t^6.67 + t^6.7 + t^6.75 + 2*t^6.88 + 3*t^6.93 + 4*t^6.98 + t^7.01 + t^7.06 + t^7.09 + 2*t^7.14 + t^7.19 + t^7.24 + 4*t^7.29 + t^7.37 + 2*t^7.45 + t^7.47 + t^7.5 + t^7.53 + t^7.55 + 3*t^7.58 + 3*t^7.63 + 3*t^7.68 + t^7.73 + 2*t^7.86 + 3*t^7.94 + t^7.96 + 3*t^7.99 + 2*t^8.02 + 2*t^8.04 - 2*t^8.07 - t^8.12 + t^8.15 + t^8.2 + t^8.22 + t^8.25 + 3*t^8.28 + 5*t^8.3 + 2*t^8.33 + t^8.35 + 3*t^8.38 - 4*t^8.43 + t^8.46 + t^8.48 - 2*t^8.51 + 2*t^8.53 + t^8.56 + 2*t^8.61 + 3*t^8.64 + 3*t^8.69 + 2*t^8.72 + 2*t^8.74 + 2*t^8.77 + 2*t^8.79 + t^8.82 + 3*t^8.84 + 3*t^8.87 + 2*t^8.92 + 3*t^8.95 - t^4.5/y - t^6.57/y - t^6.62/y - t^6.93/y + t^7.06/y + t^7.19/y + (2*t^7.5)/y + (2*t^7.55)/y + t^7.58/y + t^7.63/y + t^7.86/y + t^7.94/y + (2*t^8.07)/y + t^8.12/y + t^8.38/y + (3*t^8.43)/y + (3*t^8.51)/y + (3*t^8.56)/y + t^8.61/y - t^8.64/y - t^8.69/y - t^8.74/y + (4*t^8.87)/y + (2*t^8.92)/y + (2*t^8.95)/y - t^4.5*y - t^6.57*y - t^6.62*y - t^6.93*y + t^7.06*y + t^7.19*y + 2*t^7.5*y + 2*t^7.55*y + t^7.58*y + t^7.63*y + t^7.86*y + t^7.94*y + 2*t^8.07*y + t^8.12*y + t^8.38*y + 3*t^8.43*y + 3*t^8.51*y + 3*t^8.56*y + t^8.61*y - t^8.64*y - t^8.69*y - t^8.74*y + 4*t^8.87*y + 2*t^8.92*y + 2*t^8.95*y | 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 + g2^2*t^3.98 + t^4.01/g2 + t^4.06/g1 + (2*t^4.14)/(g1^2*g2^2) + t^4.19/(g1^3*g2) + t^4.24/g1^4 + 2*t^4.5 + (2*g2*t^4.55)/g1 + t^4.58/(g1*g2^2) + t^4.63/(g1^2*g2) + 3*g1^2*g2^2*t^4.86 + 2*g1*t^4.94 + t^5.02/g2^2 + t^5.07/(g1*g2) + t^5.12/g1^2 + 2*g1*g2*t^5.43 + (3*t^5.51)/g2 + (3*t^5.56)/g1 + (g2*t^5.61)/g1^2 + 3*g1^2*g2*t^5.87 + g1*g2^2*t^5.92 + (g1*t^5.95)/g2 - 2*t^6. + (g2^2*t^6.1)/g1^2 + t^6.13/(g1^2*g2) + t^6.18/g1^3 + (2*t^6.21)/(g1^3*g2^3) + (2*t^6.26)/(g1^4*g2^2) + t^6.31/(g1^5*g2) + t^6.36/g1^6 + 2*g1*g2^3*t^6.41 + 2*g1*t^6.44 + 2*g2*t^6.49 + t^6.52/g2^2 + (3*t^6.57)/(g1*g2) + (2*t^6.62)/g1^2 + (2*t^6.65)/(g1^2*g2^3) + (2*g2*t^6.67)/g1^3 + t^6.7/(g1^3*g2^2) + t^6.75/(g1^4*g2) + 2*g1^2*t^6.88 + 3*g1*g2*t^6.93 + 4*g2^2*t^6.98 + t^7.01/g2 + t^7.06/g1 + t^7.09/(g1*g2^3) + (2*t^7.14)/(g1^2*g2^2) + t^7.19/(g1^3*g2) + t^7.24/g1^4 + 4*g1^3*g2^3*t^7.29 + g1^2*g2*t^7.37 + (2*g1*t^7.45)/g2 + g2^3*t^7.47 + t^7.5 + t^7.53/g2^3 + (g2*t^7.55)/g1 + (3*t^7.58)/(g1*g2^2) + (3*t^7.63)/(g1^2*g2) + (3*t^7.68)/g1^3 + (g2*t^7.73)/g1^4 + 2*g1^2*g2^2*t^7.86 + 3*g1*t^7.94 + g2^4*t^7.96 + 3*g2*t^7.99 + (2*t^8.02)/g2^2 + (2*g2^2*t^8.04)/g1 - (2*t^8.07)/(g1*g2) - t^8.12/g1^2 + t^8.15/(g1^2*g2^3) + t^8.2/(g1^3*g2^2) + (g2^2*t^8.22)/g1^4 + t^8.25/(g1^4*g2) + (3*t^8.28)/(g1^4*g2^4) + t^8.3/g1^5 + 4*g1^3*g2^2*t^8.3 + (2*t^8.33)/(g1^5*g2^3) + g1^2*g2^3*t^8.35 + g1^2*t^8.38 + (2*t^8.38)/(g1^6*g2^2) + t^8.43/(g1^7*g2) - 5*g1*g2*t^8.43 + (g1*t^8.46)/g2^2 + t^8.48/g1^8 - (2*t^8.51)/g2 + (2*g2^3*t^8.53)/g1 + t^8.56/g1 + (2*g2*t^8.61)/g1^2 + (3*t^8.64)/(g1^2*g2^2) + (3*t^8.69)/(g1^3*g2) + (2*t^8.72)/(g1^3*g2^4) + (2*t^8.74)/g1^4 + (2*t^8.77)/(g1^4*g2^3) + (2*g2*t^8.79)/g1^5 + t^8.82/(g1^5*g2^2) + 3*g1^2*g2^4*t^8.84 + t^8.87/(g1^6*g2) + 2*g1^2*g2*t^8.87 + 2*g1*g2^2*t^8.92 + (3*g1*t^8.95)/g2 - t^4.5/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^7.19/(g1^3*g2*y) + (2*t^7.5)/y + (2*g2*t^7.55)/(g1*y) + t^7.58/(g1*g2^2*y) + t^7.63/(g1^2*g2*y) + (g1^2*g2^2*t^7.86)/y + (g1*t^7.94)/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 + (3*t^8.51)/(g2*y) + (3*t^8.56)/(g1*y) + (g2*t^8.61)/(g1^2*y) - t^8.64/(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^8.92)/y + (2*g1*t^8.95)/(g2*y) - t^4.5*y - (t^6.57*y)/(g1*g2) - (t^6.62*y)/g1^2 - g1*g2*t^6.93*y + (t^7.06*y)/g1 + (t^7.19*y)/(g1^3*g2) + 2*t^7.5*y + (2*g2*t^7.55*y)/g1 + (t^7.58*y)/(g1*g2^2) + (t^7.63*y)/(g1^2*g2) + g1^2*g2^2*t^7.86*y + g1*t^7.94*y + (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 + (3*t^8.51*y)/g2 + (3*t^8.56*y)/g1 + (g2*t^8.61*y)/g1^2 - (t^8.64*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^8.92*y + (2*g1*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 46422 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6929 | 0.9101 | 0.7613 | [X:[], M:[0.811, 0.7075, 0.689, 1.1463, 0.6706], q:[0.75, 0.439], qb:[0.3963, 0.4147], phi:[0.5]] | 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^4.5/y - t^4.5*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45965 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6855 | 0.8931 | 0.7675 | [X:[], M:[0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]] | t^2.03 + t^2.05 + 2*t^2.45 + t^2.52 + t^2.53 + t^3. + t^3.47 + t^3.48 + t^3.93 + t^4.02 + t^4.03 + t^4.07 + t^4.08 + 2*t^4.1 + 2*t^4.48 + 2*t^4.5 + t^4.55 + 2*t^4.57 + t^4.59 + 3*t^4.9 + 2*t^4.97 + 2*t^4.98 + 2*t^5.03 + 2*t^5.05 + t^5.07 + 2*t^5.45 + t^5.5 + 3*t^5.52 + 2*t^5.53 + t^5.91 + t^5.93 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y | detail |