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 |
---|---|---|---|---|---|---|---|---|---|
2257 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_2M_7$ | 0.6146 | 0.7514 | 0.8179 | [X:[], M:[0.8102, 0.7761, 1.1898, 0.8273, 1.2068, 0.7591, 1.2239], q:[0.8017, 0.8017], qb:[0.3881, 0.4222], phi:[0.3966]] | [X:[], M:[[6], [-14], [-6], [16], [4], [-24], [14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_1M_6$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_3M_6$, $ M_6q_1\tilde{q}_1$, $ M_5M_6$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.28 + t^2.43 + t^2.48 + 2*t^3.57 + 2*t^3.62 + 2*t^3.67 + t^4.55 + t^4.71 + t^4.76 + t^4.81 + t^4.86 + t^4.91 + t^4.96 + 2*t^5.85 + t^5.9 - t^6. + 2*t^6.05 + 3*t^6.1 + 2*t^6.15 + t^6.83 + t^6.99 + t^7.04 + t^7.14 + t^7.19 + 4*t^7.24 + 3*t^7.29 + 3*t^7.34 + t^7.39 + t^7.45 + 2*t^8.12 + t^8.17 - t^8.28 + t^8.38 - t^8.43 - t^8.48 + 2*t^8.53 + 3*t^8.58 + 2*t^8.64 - t^4.19/y - t^6.47/y - t^6.67/y + (2*t^7.71)/y + t^7.76/y + (2*t^7.91)/y - t^8.74/y + (2*t^8.85)/y + (2*t^8.9)/y + t^8.95/y - t^4.19*y - t^6.47*y - t^6.67*y + 2*t^7.71*y + t^7.76*y + 2*t^7.91*y - t^8.74*y + 2*t^8.85*y + 2*t^8.9*y + t^8.95*y | t^2.28/g1^24 + g1^6*t^2.43 + g1^16*t^2.48 + (2*t^3.57)/g1^6 + 2*g1^4*t^3.62 + 2*g1^14*t^3.67 + t^4.55/g1^48 + t^4.71/g1^18 + t^4.76/g1^8 + g1^2*t^4.81 + g1^12*t^4.86 + g1^22*t^4.91 + g1^32*t^4.96 + (2*t^5.85)/g1^30 + t^5.9/g1^20 - t^6. + 2*g1^10*t^6.05 + 3*g1^20*t^6.1 + 2*g1^30*t^6.15 + t^6.83/g1^72 + t^6.99/g1^42 + t^7.04/g1^32 + t^7.14/g1^12 + t^7.19/g1^2 + 4*g1^8*t^7.24 + 3*g1^18*t^7.29 + 3*g1^28*t^7.34 + g1^38*t^7.39 + g1^48*t^7.45 + (2*t^8.12)/g1^54 + t^8.17/g1^44 - t^8.28/g1^24 + t^8.38/g1^4 - g1^6*t^8.43 - g1^16*t^8.48 + 2*g1^26*t^8.53 + 3*g1^36*t^8.58 + 2*g1^46*t^8.64 - t^4.19/(g1^2*y) - t^6.47/(g1^26*y) - (g1^14*t^6.67)/y + (2*t^7.71)/(g1^18*y) + t^7.76/(g1^8*y) + (2*g1^22*t^7.91)/y - t^8.74/(g1^50*y) + (2*t^8.85)/(g1^30*y) + (2*t^8.9)/(g1^20*y) + t^8.95/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.47*y)/g1^26 - g1^14*t^6.67*y + (2*t^7.71*y)/g1^18 + (t^7.76*y)/g1^8 + 2*g1^22*t^7.91*y - (t^8.74*y)/g1^50 + (2*t^8.85*y)/g1^30 + (2*t^8.9*y)/g1^20 + (t^8.95*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
4256 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_2M_7$ + $ M_6^2$ + $ M_4X_1$ | 0.5578 | 0.6776 | 0.8232 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.1667, 1.0, 1.0833], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + t^5.25 + t^5.5 - t^4.25/y - t^4.25*y | detail | {a: 3427/6144, c: 4163/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 7/6, M6: 1, M7: 13/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
1217 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6327 | 0.784 | 0.807 | [X:[], M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]] | t^2.21 + t^2.29 + t^2.45 + t^2.52 + 2*t^3.55 + 2*t^3.63 + t^3.71 + t^4.43 + t^4.51 + t^4.58 + t^4.66 + 2*t^4.74 + 2*t^4.82 + t^4.89 + t^4.97 + t^5.05 + 2*t^5.77 + 3*t^5.85 + t^5.92 - t^4.18/y - t^4.18*y | detail |