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 |
|---|---|---|---|---|---|---|---|---|---|
| 46126 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1M_3$ | 0.6101 | 0.7833 | 0.7789 | [X:[], M:[0.9726, 0.798, 1.0274], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | [X:[], M:[[4], [-7], [-4]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | 2*t^2.23 + t^2.39 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.61 + 2*t^3.77 + 3*t^4.29 + 3*t^4.46 + 2*t^4.62 + t^4.79 + 2*t^4.98 + t^5.15 + 4*t^5.31 + 2*t^5.48 + t^5.51 + t^5.64 + 3*t^5.84 + 3*t^6.16 + 2*t^6.33 + t^6.36 + t^6.49 + 4*t^6.52 + 5*t^6.69 + 4*t^6.85 + 2*t^7.02 + 3*t^7.05 + t^7.18 + t^7.21 + 5*t^7.38 + 5*t^7.54 + 3*t^7.71 + 2*t^7.74 + 2*t^7.87 + 2*t^7.9 + t^8.03 + 5*t^8.06 - 3*t^8.23 + t^8.26 + 2*t^8.39 + 3*t^8.56 + 8*t^8.59 + 2*t^8.72 + t^8.75 + t^8.89 + 5*t^8.92 - t^4.54/y - t^6.94/y + (2*t^7.46)/y + t^7.62/y + (2*t^7.98)/y + (2*t^8.15)/y + (4*t^8.31)/y + (4*t^8.48)/y + t^8.64/y + (4*t^8.84)/y - t^4.54*y - t^6.94*y + 2*t^7.46*y + t^7.62*y + 2*t^7.98*y + 2*t^8.15*y + 4*t^8.31*y + 4*t^8.48*y + t^8.64*y + 4*t^8.84*y | 2*g1*t^2.23 + t^2.39/g1^7 + g1^12*t^2.75 + (2*t^3.08)/g1^4 + t^3.25/g1^12 + g1^7*t^3.61 + (2*t^3.77)/g1 + 3*g1^10*t^4.29 + 3*g1^2*t^4.46 + (2*t^4.62)/g1^6 + t^4.79/g1^14 + 2*g1^13*t^4.98 + g1^5*t^5.15 + (4*t^5.31)/g1^3 + (2*t^5.48)/g1^11 + g1^24*t^5.51 + t^5.64/g1^19 + 3*g1^8*t^5.84 + (3*t^6.16)/g1^8 + (2*t^6.33)/g1^16 + g1^19*t^6.36 + t^6.49/g1^24 + 4*g1^11*t^6.52 + 5*g1^3*t^6.69 + (4*t^6.85)/g1^5 + (2*t^7.02)/g1^13 + 3*g1^22*t^7.05 + t^7.18/g1^21 + g1^14*t^7.21 + 5*g1^6*t^7.38 + (5*t^7.54)/g1^2 + (3*t^7.71)/g1^10 + 2*g1^25*t^7.74 + (2*t^7.87)/g1^18 + 2*g1^17*t^7.9 + t^8.03/g1^26 + 5*g1^9*t^8.06 - 3*g1*t^8.23 + g1^36*t^8.26 + (2*t^8.39)/g1^7 + (3*t^8.56)/g1^15 + 8*g1^20*t^8.59 + (2*t^8.72)/g1^23 + g1^12*t^8.75 + t^8.89/g1^31 + 5*g1^4*t^8.92 - t^4.54/(g1^2*y) - t^6.94/(g1^9*y) + (2*g1^2*t^7.46)/y + t^7.62/(g1^6*y) + (2*g1^13*t^7.98)/y + (2*g1^5*t^8.15)/y + (4*t^8.31)/(g1^3*y) + (4*t^8.48)/(g1^11*y) + t^8.64/(g1^19*y) + (4*g1^8*t^8.84)/y - (t^4.54*y)/g1^2 - (t^6.94*y)/g1^9 + 2*g1^2*t^7.46*y + (t^7.62*y)/g1^6 + 2*g1^13*t^7.98*y + 2*g1^5*t^8.15*y + (4*t^8.31*y)/g1^3 + (4*t^8.48*y)/g1^11 + (t^8.64*y)/g1^19 + 4*g1^8*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 46526 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1M_3$ + $ M_2\phi_1q_2^2$ | 0.6057 | 0.7801 | 0.7765 | [X:[], M:[0.9474, 0.8421, 1.0526], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.21 + 2*t^2.53 + 2*t^3.16 + 2*t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 4*t^4.74 + 3*t^5.05 + 4*t^5.37 + 5*t^5.68 + 2*t^6. - t^4.58/y - t^4.58*y | detail | {a: 66477/109744, c: 42805/54872, M1: 18/19, M2: 16/19, M3: 20/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 46501 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6294 | 0.8187 | 0.7688 | [X:[], M:[0.9719, 0.7992, 1.0281, 0.743], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]] | 3*t^2.23 + t^2.4 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.6 + t^3.77 + 3*t^4.29 + 6*t^4.46 + 3*t^4.63 + t^4.8 + 3*t^4.98 + t^5.14 + 6*t^5.31 + 3*t^5.48 + t^5.49 + t^5.65 + 4*t^5.83 - t^6. - t^4.54/y - t^4.54*y | detail | |
| 46789 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ | 0.62 | 0.8023 | 0.7727 | [X:[], M:[0.9554, 0.828, 1.0446, 0.8663], q:[0.7389, 0.3057], qb:[0.4331, 0.4331], phi:[0.5223]] | 2*t^2.22 + t^2.48 + 2*t^2.6 + 2*t^3.13 + t^3.52 + 2*t^3.78 + 3*t^4.17 + 3*t^4.43 + 2*t^4.7 + 4*t^4.82 + t^4.97 + 2*t^5.08 + 3*t^5.2 + 4*t^5.35 + 5*t^5.73 - t^6. - t^4.57/y - t^4.57*y | detail | |
| 46433 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1M_3$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6053 | 0.7762 | 0.7798 | [X:[], M:[0.9931, 0.7621, 1.0069, 1.0207], q:[0.7483, 0.2586], qb:[0.4897, 0.4897], phi:[0.5034]] | 2*t^2.24 + t^2.29 + 2*t^3.02 + 2*t^3.06 + t^3.71 + 2*t^3.76 + 3*t^4.45 + 3*t^4.49 + 2*t^4.53 + t^4.57 + 4*t^5.27 + 4*t^5.31 + 2*t^5.35 + t^5.96 - t^6. - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45973 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 0.613 | 0.7886 | 0.7773 | [X:[], M:[0.9658, 0.8098], q:[0.7415, 0.2927], qb:[0.4487, 0.4487], phi:[0.5171]] | 2*t^2.22 + t^2.43 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.57 + 2*t^3.78 + 3*t^4.24 + 3*t^4.45 + 2*t^4.65 + t^4.86 + 2*t^4.92 + 3*t^5.12 + 3*t^5.33 + t^5.38 + t^5.53 + t^5.59 + t^5.74 + 3*t^5.79 + t^6. - t^4.55/y - t^4.55*y | detail |