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 |
|---|---|---|---|---|---|---|---|---|---|
| 46550 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6454 | 0.8481 | 0.761 | [X:[], M:[0.7302, 0.7038, 1.0, 0.7566], q:[0.7566, 0.5132], qb:[0.5396, 0.2434], phi:[0.4868]] | [X:[], M:[[3], [7], [0], [-1]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2M_4$, $ M_2q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | . | -2 | t^2.11 + t^2.19 + 2*t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.16 + t^3.81 + t^4.22 + t^4.3 + 3*t^4.38 + 3*t^4.46 + 5*t^4.54 + 3*t^4.62 + 2*t^4.7 + 2*t^5.03 + 2*t^5.11 + 4*t^5.19 + 5*t^5.27 + 2*t^5.35 + 2*t^5.43 + t^5.51 + 3*t^5.84 + t^5.92 - 2*t^6. + 2*t^6.08 + t^6.16 + t^6.32 + t^6.33 + t^6.41 + 3*t^6.49 + 3*t^6.57 + 5*t^6.65 + 7*t^6.73 + 8*t^6.81 + 5*t^6.89 + 5*t^6.97 + 2*t^7.05 + 2*t^7.14 + 2*t^7.22 + 5*t^7.3 + 6*t^7.38 + 8*t^7.46 + 8*t^7.54 + 7*t^7.62 + 5*t^7.7 + 2*t^7.78 + 2*t^7.86 + 3*t^7.95 + 2*t^8.03 + t^8.11 + 2*t^8.19 - 5*t^8.27 - 2*t^8.35 + t^8.43 + t^8.45 + 2*t^8.51 + t^8.52 + 2*t^8.59 + 3*t^8.6 + t^8.67 + 3*t^8.68 + 10*t^8.76 + 6*t^8.84 + 2*t^8.92 - t^4.46/y - t^6.57/y - t^6.65/y - t^6.73/y + t^7.3/y + t^7.38/y + (3*t^7.46)/y + (3*t^7.54)/y + (2*t^7.62)/y + (2*t^8.03)/y + (3*t^8.11)/y + (6*t^8.19)/y + (6*t^8.27)/y + (3*t^8.35)/y + (2*t^8.43)/y + t^8.51/y - t^8.68/y - t^8.76/y - t^8.84/y + (2*t^8.92)/y - t^4.46*y - t^6.57*y - t^6.65*y - t^6.73*y + t^7.3*y + t^7.38*y + 3*t^7.46*y + 3*t^7.54*y + 2*t^7.62*y + 2*t^8.03*y + 3*t^8.11*y + 6*t^8.19*y + 6*t^8.27*y + 3*t^8.35*y + 2*t^8.43*y + t^8.51*y - t^8.68*y - t^8.76*y - t^8.84*y + 2*t^8.92*y | g1^7*t^2.11 + g1^3*t^2.19 + (2*t^2.27)/g1 + t^2.35/g1^5 + 2*g1^4*t^2.92 + t^3. + t^3.16/g1^8 + t^3.81/g1^3 + g1^14*t^4.22 + g1^10*t^4.3 + 3*g1^6*t^4.38 + 3*g1^2*t^4.46 + (5*t^4.54)/g1^2 + (3*t^4.62)/g1^6 + (2*t^4.7)/g1^10 + 2*g1^11*t^5.03 + 2*g1^7*t^5.11 + 4*g1^3*t^5.19 + (5*t^5.27)/g1 + (2*t^5.35)/g1^5 + (2*t^5.43)/g1^9 + t^5.51/g1^13 + 3*g1^8*t^5.84 + g1^4*t^5.92 - 2*t^6. + (2*t^6.08)/g1^4 + t^6.16/g1^8 + t^6.32/g1^16 + g1^21*t^6.33 + g1^17*t^6.41 + 3*g1^13*t^6.49 + 3*g1^9*t^6.57 + 5*g1^5*t^6.65 + 7*g1*t^6.73 + (8*t^6.81)/g1^3 + (5*t^6.89)/g1^7 + (5*t^6.97)/g1^11 + (2*t^7.05)/g1^15 + 2*g1^18*t^7.14 + 2*g1^14*t^7.22 + 5*g1^10*t^7.3 + 6*g1^6*t^7.38 + 8*g1^2*t^7.46 + (8*t^7.54)/g1^2 + (7*t^7.62)/g1^6 + (5*t^7.7)/g1^10 + (2*t^7.78)/g1^14 + (2*t^7.86)/g1^18 + 3*g1^15*t^7.95 + 2*g1^11*t^8.03 + g1^7*t^8.11 + 2*g1^3*t^8.19 - (5*t^8.27)/g1 - (2*t^8.35)/g1^5 + t^8.43/g1^9 + g1^28*t^8.45 + (2*t^8.51)/g1^13 + g1^24*t^8.52 + (2*t^8.59)/g1^17 + 3*g1^20*t^8.6 + t^8.67/g1^21 + 3*g1^16*t^8.68 + 10*g1^12*t^8.76 + 6*g1^8*t^8.84 + 2*g1^4*t^8.92 - (g1^2*t^4.46)/y - (g1^9*t^6.57)/y - (g1^5*t^6.65)/y - (g1*t^6.73)/y + (g1^10*t^7.3)/y + (g1^6*t^7.38)/y + (3*g1^2*t^7.46)/y + (3*t^7.54)/(g1^2*y) + (2*t^7.62)/(g1^6*y) + (2*g1^11*t^8.03)/y + (3*g1^7*t^8.11)/y + (6*g1^3*t^8.19)/y + (6*t^8.27)/(g1*y) + (3*t^8.35)/(g1^5*y) + (2*t^8.43)/(g1^9*y) + t^8.51/(g1^13*y) - (g1^16*t^8.68)/y - (g1^12*t^8.76)/y - (g1^8*t^8.84)/y + (2*g1^4*t^8.92)/y - g1^2*t^4.46*y - g1^9*t^6.57*y - g1^5*t^6.65*y - g1*t^6.73*y + g1^10*t^7.3*y + g1^6*t^7.38*y + 3*g1^2*t^7.46*y + (3*t^7.54*y)/g1^2 + (2*t^7.62*y)/g1^6 + 2*g1^11*t^8.03*y + 3*g1^7*t^8.11*y + 6*g1^3*t^8.19*y + (6*t^8.27*y)/g1 + (3*t^8.35*y)/g1^5 + (2*t^8.43*y)/g1^9 + (t^8.51*y)/g1^13 - g1^16*t^8.68*y - g1^12*t^8.76*y - g1^8*t^8.84*y + 2*g1^4*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 48261 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6652 | 0.8849 | 0.7517 | [X:[], M:[0.7275, 0.6976, 1.0, 0.7575, 0.7275], q:[0.7575, 0.515], qb:[0.5449, 0.2425], phi:[0.485]] | t^2.09 + 2*t^2.18 + 2*t^2.27 + t^2.36 + 2*t^2.91 + t^3. + t^3.18 + t^4.19 + 2*t^4.28 + 5*t^4.37 + 5*t^4.46 + 6*t^4.54 + 3*t^4.63 + 2*t^4.72 + 2*t^5. + 4*t^5.09 + 5*t^5.18 + 5*t^5.27 + 3*t^5.36 + 2*t^5.45 + t^5.54 + 3*t^5.82 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 47149 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6436 | 0.8457 | 0.761 | [X:[], M:[0.7408, 0.7286, 1.0, 0.7531, 1.0122], q:[0.7531, 0.5061], qb:[0.5183, 0.2469], phi:[0.4939]] | t^2.19 + t^2.22 + 2*t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.07 + t^3.78 + t^4.37 + t^4.41 + 3*t^4.45 + 3*t^4.48 + 5*t^4.52 + 3*t^4.55 + 2*t^4.59 + t^5.15 + t^5.19 + 3*t^5.22 + 5*t^5.26 + 4*t^5.3 + 3*t^5.33 + t^5.37 + t^5.93 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 48197 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.6169 | 0.7948 | 0.7762 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 0.7692], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.08 + 2*t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 5*t^4.62 + 4*t^4.85 + 6*t^5.08 + 4*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 21687/35152, c: 6985/8788, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 10/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46277 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.1 + t^2.19 + t^2.27 + t^2.36 + 2*t^2.92 + t^3. + t^3.17 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.37 + 2*t^4.46 + 3*t^4.54 + 2*t^4.63 + 2*t^4.71 + 2*t^5.02 + 2*t^5.1 + 2*t^5.19 + 4*t^5.27 + 2*t^5.36 + t^5.44 + t^5.52 + 4*t^5.83 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |