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 |
|---|---|---|---|---|---|---|---|---|---|
| 577 | 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_1^2$ + $ M_4\phi_1^2$ + $ M_4M_5$ | 0.7168 | 0.8831 | 0.8116 | [X:[], M:[1.0, 0.8704, 0.8056, 1.0648, 0.9352], q:[0.5603, 0.4397], qb:[0.6341, 0.4955], phi:[0.4676]] | [X:[], M:[[0, 0], [-4, -4], [-6, -6], [2, 2], [-2, -2]], q:[[2, 6], [-2, -6]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -3 | t^2.42 + t^2.61 + 2*t^2.81 + t^3. + t^3.17 + t^3.22 + t^4.04 + t^4.21 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.76 + t^4.79 + t^4.83 + t^4.99 + t^5.03 + t^5.21 + 3*t^5.22 + 2*t^5.42 + 4*t^5.61 + t^5.81 + 2*t^5.97 - 3*t^6. + 2*t^6.03 - t^6.19 + t^6.33 - t^6.36 - t^6.42 + t^6.44 + t^6.46 - t^6.58 + t^6.63 + t^6.65 + t^6.79 + t^6.82 + 2*t^6.85 + t^6.99 + 3*t^7.01 + t^7.04 + 3*t^7.18 + 3*t^7.21 - t^7.24 + t^7.25 + t^7.26 + 4*t^7.38 - t^7.4 + 2*t^7.43 + t^7.44 + t^7.54 + t^7.57 + t^7.6 + t^7.62 + 3*t^7.64 + t^7.74 - t^7.76 + 2*t^7.79 - t^7.82 + 3*t^7.83 + t^7.85 + t^7.93 - t^7.96 - t^7.99 + 2*t^8.01 + 5*t^8.03 + t^8.08 - t^8.18 + t^8.21 + 3*t^8.22 - t^8.4 + 3*t^8.42 + t^8.43 + t^8.44 - t^8.61 - t^8.64 + t^8.67 + t^8.75 + 3*t^8.78 - 8*t^8.81 + 3*t^8.83 + t^8.87 + t^8.95 - t^8.97 - t^4.4/y - t^6.82/y - t^7.01/y - t^7.21/y + t^7.6/y + t^7.79/y + t^7.99/y + t^8.03/y + (2*t^8.22)/y + (3*t^8.42)/y + t^8.58/y + (2*t^8.61)/y + t^8.64/y + t^8.78/y + (2*t^8.81)/y + t^8.83/y + (2*t^8.97)/y - t^4.4*y - t^6.82*y - t^7.01*y - t^7.21*y + t^7.6*y + t^7.79*y + t^7.99*y + t^8.03*y + 2*t^8.22*y + 3*t^8.42*y + t^8.58*y + 2*t^8.61*y + t^8.64*y + t^8.78*y + 2*t^8.81*y + t^8.83*y + 2*t^8.97*y | t^2.42/(g1^6*g2^6) + t^2.61/(g1^4*g2^4) + (2*t^2.81)/(g1^2*g2^2) + t^3. + g1^2*g2^10*t^3.17 + (g1^2*t^3.22)/g2^6 + t^4.04/(g1^5*g2^13) + t^4.21/(g1^3*g2^3) + (g2^7*t^4.38)/g1 + t^4.4/(g1*g2) + g1*g2^9*t^4.57 + (g1*t^4.62)/g2^7 + g1^3*g2^11*t^4.76 + g1^3*g2^3*t^4.79 + t^4.83/(g1^12*g2^12) + g1^5*g2^5*t^4.99 + t^5.03/(g1^10*g2^10) + (g1^7*t^5.21)/g2 + (3*t^5.22)/(g1^8*g2^8) + (2*t^5.42)/(g1^6*g2^6) + (4*t^5.61)/(g1^4*g2^4) + t^5.81/(g1^2*g2^2) + 2*g2^8*t^5.97 - 3*t^6. + (2*t^6.03)/g2^8 - g1^2*g2^2*t^6.19 + g1^4*g2^20*t^6.33 - g1^4*g2^12*t^6.36 - (g1^4*t^6.42)/g2^4 + (g1^4*t^6.44)/g2^12 + t^6.46/(g1^11*g2^19) - g1^6*g2^6*t^6.58 + t^6.63/(g1^9*g2^9) + t^6.65/(g1^9*g2^17) + (g2*t^6.79)/g1^7 + t^6.82/(g1^7*g2^7) + (2*t^6.85)/(g1^7*g2^15) + (g2^3*t^6.99)/g1^5 + (3*t^7.01)/(g1^5*g2^5) + t^7.04/(g1^5*g2^13) + (3*g2^5*t^7.18)/g1^3 + (3*t^7.21)/(g1^3*g2^3) - t^7.24/(g1^3*g2^11) + t^7.25/(g1^18*g2^18) + t^7.26/(g1^3*g2^19) + (4*g2^7*t^7.38)/g1 - t^7.4/(g1*g2) + (2*t^7.43)/(g1*g2^9) + t^7.44/(g1^16*g2^16) + g1*g2^17*t^7.54 + g1*g2^9*t^7.57 + g1*g2*t^7.6 + (g1*t^7.62)/g2^7 + (3*t^7.64)/(g1^14*g2^14) + g1^3*g2^19*t^7.74 - g1^3*g2^11*t^7.76 + 2*g1^3*g2^3*t^7.79 - (g1^3*t^7.82)/g2^5 + (3*t^7.83)/(g1^12*g2^12) + (g1^3*t^7.85)/g2^13 + g1^5*g2^21*t^7.93 - g1^5*g2^13*t^7.96 - g1^5*g2^5*t^7.99 + (2*g1^5*t^8.01)/g2^3 + (5*t^8.03)/(g1^10*g2^10) + t^8.08/(g1^10*g2^26) - g1^7*g2^7*t^8.18 + (g1^7*t^8.21)/g2 + (3*t^8.22)/(g1^8*g2^8) - g1^9*g2*t^8.4 + (3*t^8.42)/(g1^6*g2^6) + (g1^9*t^8.43)/g2^7 + t^8.44/(g1^6*g2^14) - t^8.61/(g1^4*g2^4) - t^8.64/(g1^4*g2^12) + t^8.67/(g1^4*g2^20) + (g2^14*t^8.75)/g1^2 + (3*g2^6*t^8.78)/g1^2 - (8*t^8.81)/(g1^2*g2^2) + (3*t^8.83)/(g1^2*g2^10) + t^8.87/(g1^17*g2^25) + g2^16*t^8.95 - g2^8*t^8.97 - t^4.4/(g1*g2*y) - t^6.82/(g1^7*g2^7*y) - t^7.01/(g1^5*g2^5*y) - t^7.21/(g1^3*g2^3*y) + (g1*g2*t^7.6)/y + (g1^3*g2^3*t^7.79)/y + (g1^5*g2^5*t^7.99)/y + t^8.03/(g1^10*g2^10*y) + (2*t^8.22)/(g1^8*g2^8*y) + (3*t^8.42)/(g1^6*g2^6*y) + (g2^4*t^8.58)/(g1^4*y) + (2*t^8.61)/(g1^4*g2^4*y) + t^8.64/(g1^4*g2^12*y) + (g2^6*t^8.78)/(g1^2*y) + (2*t^8.81)/(g1^2*g2^2*y) + t^8.83/(g1^2*g2^10*y) + (2*g2^8*t^8.97)/y - (t^4.4*y)/(g1*g2) - (t^6.82*y)/(g1^7*g2^7) - (t^7.01*y)/(g1^5*g2^5) - (t^7.21*y)/(g1^3*g2^3) + g1*g2*t^7.6*y + g1^3*g2^3*t^7.79*y + g1^5*g2^5*t^7.99*y + (t^8.03*y)/(g1^10*g2^10) + (2*t^8.22*y)/(g1^8*g2^8) + (3*t^8.42*y)/(g1^6*g2^6) + (g2^4*t^8.58*y)/g1^4 + (2*t^8.61*y)/(g1^4*g2^4) + (t^8.64*y)/(g1^4*g2^12) + (g2^6*t^8.78*y)/g1^2 + (2*t^8.81*y)/(g1^2*g2^2) + (t^8.83*y)/(g1^2*g2^10) + 2*g2^8*t^8.97*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1927 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5768 | 0.7018 | 0.8219 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 2307/4000, c: 2807/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, M5: 4/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 364 | 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_1^2$ + $ M_4\phi_1^2$ | 0.7111 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | t^2.48 + t^2.65 + t^2.83 + t^3. + t^3.15 + t^3.17 + t^3.19 + t^4.09 + t^4.24 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.74 + t^4.76 + t^4.93 + t^4.96 + t^5.13 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.65 + t^5.83 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail |