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 |
---|---|---|---|---|---|---|---|---|---|
47097 | 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_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.7153 | 0.8822 | 0.8108 | [X:[], M:[0.9784, 0.822, 1.0216, 1.0593, 0.8597, 0.9407], q:[0.5297, 0.4919], qb:[0.6484, 0.4488], phi:[0.4703]] | [X:[], M:[[1, 1], [-6, 0], [-1, -1], [2, 0], [-3, 1], [-2, 0]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ M_5^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_3M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$ | . | -3 | t^2.47 + t^2.58 + 2*t^2.82 + t^2.94 + t^3.06 + t^3.29 + t^4.1 + t^4.23 + t^4.35 + t^4.36 + t^4.48 + t^4.59 + t^4.7 + t^4.83 + t^4.93 + t^4.95 + t^5.05 + t^5.16 + 2*t^5.29 + t^5.3 + 2*t^5.4 + t^5.51 + 3*t^5.64 + 2*t^5.76 + t^5.87 + t^5.89 - 3*t^6. + t^6.11 + t^6.23 - t^6.24 - t^6.36 - t^6.47 + t^6.57 + t^6.58 - t^6.6 + t^6.68 + t^6.7 + t^6.81 + t^6.83 + 3*t^6.93 + t^6.94 + t^7.04 + 3*t^7.05 + 4*t^7.17 + 2*t^7.18 + 3*t^7.3 + t^7.39 + t^7.4 + t^7.41 + t^7.43 + t^7.51 + 2*t^7.52 - t^7.54 + t^7.62 + t^7.64 + t^7.65 + t^7.74 + 2*t^7.75 + t^7.77 + 2*t^7.87 + 2*t^7.98 + t^7.99 - 2*t^8.01 + t^8.09 + 3*t^8.11 + t^8.12 + t^8.21 + 3*t^8.22 + t^8.24 + 2*t^8.34 - t^8.35 + 2*t^8.45 + t^8.47 - t^8.48 + t^8.59 + t^8.69 + t^8.71 + t^8.72 + 2*t^8.81 - 8*t^8.82 + t^8.84 - 2*t^8.94 - t^4.41/y - t^6.88/y - t^6.99/y - t^7.23/y + t^7.59/y + t^7.83/y + t^7.95/y + t^8.05/y + (2*t^8.29)/y + (3*t^8.4)/y + t^8.51/y + t^8.53/y + (2*t^8.64)/y + (3*t^8.76)/y + t^8.87/y + (2*t^8.89)/y - t^4.41*y - t^6.88*y - t^6.99*y - t^7.23*y + t^7.59*y + t^7.83*y + t^7.95*y + t^8.05*y + 2*t^8.29*y + 3*t^8.4*y + t^8.51*y + t^8.53*y + 2*t^8.64*y + 3*t^8.76*y + t^8.87*y + 2*t^8.89*y | t^2.47/g1^6 + (g2*t^2.58)/g1^3 + (2*t^2.82)/g1^2 + g1*g2*t^2.94 + t^3.06/(g1*g2) + g1^5*g2*t^3.29 + (g2^2*t^4.1)/g1 + t^4.23/g1^3 + g2*t^4.35 + t^4.36/(g1^5*g2^2) + t^4.48/(g1^2*g2) + g1*t^4.59 + g1^4*g2*t^4.7 + (g1^2*t^4.83)/g2 + t^4.93/g1^12 + g1^5*t^4.95 + (g2*t^5.05)/g1^9 + (g2^2*t^5.16)/g1^6 + (2*t^5.29)/g1^8 + g1^9*t^5.3 + (2*g2*t^5.4)/g1^5 + (g2^2*t^5.51)/g1^2 + (3*t^5.64)/g1^4 + (2*g2*t^5.76)/g1 + g1^2*g2^2*t^5.87 + t^5.89/(g1^3*g2) - 3*t^6. + g1^3*g2*t^6.11 + g1^6*g2^2*t^6.23 - (g1*t^6.24)/g2 - g1^4*t^6.36 - g1^7*g2*t^6.47 + (g2^2*t^6.57)/g1^7 + g1^10*g2^2*t^6.58 - (g1^5*t^6.6)/g2 + (g2^3*t^6.68)/g1^4 + t^6.7/g1^9 + (g2*t^6.81)/g1^6 + t^6.83/(g1^11*g2^2) + (3*g2^2*t^6.93)/g1^3 + t^6.94/(g1^8*g2) + g2^3*t^7.04 + (3*t^7.05)/g1^5 + (4*g2*t^7.17)/g1^2 + (2*t^7.18)/(g1^7*g2^2) + (3*t^7.3)/(g1^4*g2) + g1^4*g2^3*t^7.39 + t^7.4/g1^18 + t^7.41/g1 + t^7.43/(g1^6*g2^3) + (g2*t^7.51)/g1^15 + 2*g1^2*g2*t^7.52 - t^7.54/(g1^3*g2^2) + (g2^2*t^7.62)/g1^12 + g1^5*g2^2*t^7.64 + t^7.65/g2 + (g2^3*t^7.74)/g1^9 + (2*t^7.75)/g1^14 + g1^3*t^7.77 + (2*g2*t^7.87)/g1^11 + (2*g2^2*t^7.98)/g1^8 + g1^9*g2^2*t^7.99 - (2*g1^4*t^8.01)/g2 + (g2^3*t^8.09)/g1^5 + (3*t^8.11)/g1^10 + g1^7*t^8.12 + (g2^4*t^8.21)/g1^2 + (3*g2*t^8.22)/g1^7 + g1^10*g2*t^8.24 + (2*g2^2*t^8.34)/g1^4 - t^8.35/(g1^9*g2) + (2*g2^3*t^8.45)/g1 + t^8.47/g1^6 - g1^11*t^8.48 + g1^14*g2*t^8.59 + g2^2*t^8.69 + t^8.71/(g1^5*g2) + t^8.72/(g1^10*g2^4) + 2*g1^3*g2^3*t^8.81 - (8*t^8.82)/g1^2 + t^8.84/(g1^7*g2^3) - 2*g1*g2*t^8.94 - t^4.41/(g1*y) - t^6.88/(g1^7*y) - (g2*t^6.99)/(g1^4*y) - t^7.23/(g1^3*y) + (g1*t^7.59)/y + (g1^2*t^7.83)/(g2*y) + (g1^5*t^7.95)/y + (g2*t^8.05)/(g1^9*y) + (2*t^8.29)/(g1^8*y) + (3*g2*t^8.4)/(g1^5*y) + (g2^2*t^8.51)/(g1^2*y) + t^8.53/(g1^7*g2*y) + (2*t^8.64)/(g1^4*y) + (3*g2*t^8.76)/(g1*y) + (g1^2*g2^2*t^8.87)/y + (2*t^8.89)/(g1^3*g2*y) - (t^4.41*y)/g1 - (t^6.88*y)/g1^7 - (g2*t^6.99*y)/g1^4 - (t^7.23*y)/g1^3 + g1*t^7.59*y + (g1^2*t^7.83*y)/g2 + g1^5*t^7.95*y + (g2*t^8.05*y)/g1^9 + (2*t^8.29*y)/g1^8 + (3*g2*t^8.4*y)/g1^5 + (g2^2*t^8.51*y)/g1^2 + (t^8.53*y)/(g1^7*g2) + (2*t^8.64*y)/g1^4 + (3*g2*t^8.76*y)/g1 + g1^2*g2^2*t^8.87*y + (2*t^8.89*y)/(g1^3*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 |
---|---|---|---|---|---|---|---|---|
51774 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ | 0.6977 | 0.8546 | 0.8164 | [X:[], M:[1.0436, 0.9346, 0.9564, 1.0218, 1.0, 0.9782], q:[0.5109, 0.4455], qb:[0.5545, 0.5327], phi:[0.4891]] | t^2.8 + t^2.87 + 2*t^2.93 + t^3. + t^3.13 + t^3.26 + t^4.14 + t^4.34 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + 2*t^4.66 + t^4.73 + t^4.79 + t^5.61 + 2*t^5.74 + 2*t^5.8 + 3*t^5.87 + t^5.93 - 2*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
46681 | 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_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.7101 | 0.8727 | 0.8137 | [X:[], M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | t^2.53 + t^2.62 + t^2.84 + t^2.93 + t^3.07 + t^3.16 + t^3.25 + t^4.13 + t^4.26 + t^4.35 + t^4.4 + t^4.49 + t^4.58 + t^4.67 + t^4.8 + t^4.89 + t^5.06 + t^5.15 + t^5.21 + t^5.24 + t^5.37 + t^5.46 + t^5.55 + 2*t^5.69 + 2*t^5.78 + t^5.86 - 2*t^6. - t^4.42/y - t^4.42*y | detail |