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 |
---|---|---|---|---|---|---|---|---|---|
45136 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2$ | 1.7687 | 1.8815 | 0.94 | [X:[], M:[1.2, 0.7943, 1.2], q:[0.4057, 0.3943], qb:[], phi:[0.4]] | [X:[], M:[[0], [1], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2^2$, $ M_2$, $ q_1^2$, $ \phi_1^2q_2$, $ M_1$, $ M_3$, $ \phi_1q_1q_2$, $ q_2^4$, $ M_2q_2^2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ q_1^2q_2^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_2^3$, $ M_2\phi_1^2q_2$, $ M_3q_2^2$, $ \phi_1q_1q_2^3$, $ M_1M_2$, $ M_2M_3$, $ M_2\phi_1q_1q_2$ | $\phi_1^3q_1q_2$ | -1 | t^2.37 + t^2.38 + t^2.43 + t^3.58 + 3*t^3.6 + t^4.73 + t^4.75 + 2*t^4.77 + 3*t^4.8 + t^4.82 + t^4.83 + t^4.87 + t^5.95 + 3*t^5.97 + 3*t^5.98 - t^6. + t^6.02 + 2*t^6.03 + t^7.1 + t^7.11 + 2*t^7.13 + 2*t^7.15 + 3*t^7.17 + 5*t^7.18 + 7*t^7.2 + 2*t^7.23 + t^7.25 + t^7.27 + t^7.3 + t^8.31 + 3*t^8.33 + 4*t^8.35 + 3*t^8.37 + t^8.38 + 6*t^8.4 + 2*t^8.42 + t^8.45 + 2*t^8.47 - t^4.2/y - t^5.38/y - t^5.42/y - t^6.57/y - t^6.58/y - t^6.6/y - t^6.63/y - t^7.77/y - (2*t^7.78)/y - (2*t^7.8)/y - t^7.85/y - t^8.93/y + t^8.97/y + t^8.98/y - t^4.2*y - t^5.38*y - t^5.42*y - t^6.57*y - t^6.58*y - t^6.6*y - t^6.63*y - t^7.77*y - 2*t^7.78*y - 2*t^7.8*y - t^7.85*y - t^8.93*y + t^8.97*y + t^8.98*y | g1^2*t^2.37 + g1*t^2.38 + t^2.43/g1^2 + g1*t^3.58 + 3*t^3.6 + g1^4*t^4.73 + g1^3*t^4.75 + 2*g1^2*t^4.77 + 3*t^4.8 + t^4.82/g1 + t^4.83/g1^2 + t^4.87/g1^4 + g1^3*t^5.95 + 3*g1^2*t^5.97 + 3*g1*t^5.98 - t^6. + t^6.02/g1 + (2*t^6.03)/g1^2 + g1^6*t^7.1 + g1^5*t^7.11 + 2*g1^4*t^7.13 + 2*g1^3*t^7.15 + 3*g1^2*t^7.17 + 5*g1*t^7.18 + 7*t^7.2 + (2*t^7.23)/g1^2 + t^7.25/g1^3 + t^7.27/g1^4 + t^7.3/g1^6 + g1^5*t^8.31 + 3*g1^4*t^8.33 + 4*g1^3*t^8.35 + 3*g1^2*t^8.37 + g1*t^8.38 + 6*t^8.4 + (2*t^8.42)/g1 + t^8.45/g1^3 + (2*t^8.47)/g1^4 - t^4.2/y - (g1*t^5.38)/y - t^5.42/(g1*y) - (g1^2*t^6.57)/y - (g1*t^6.58)/y - t^6.6/y - t^6.63/(g1^2*y) - (g1^2*t^7.77)/y - (2*g1*t^7.78)/y - (2*t^7.8)/y - t^7.85/(g1^3*y) - (g1^4*t^8.93)/y + (g1^2*t^8.97)/y + (g1*t^8.98)/y - t^4.2*y - g1*t^5.38*y - (t^5.42*y)/g1 - g1^2*t^6.57*y - g1*t^6.58*y - t^6.6*y - (t^6.63*y)/g1^2 - g1^2*t^7.77*y - 2*g1*t^7.78*y - 2*t^7.8*y - (t^7.85*y)/g1^3 - g1^4*t^8.93*y + g1^2*t^8.97*y + g1*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
45380 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2$ + $ q_1^4$ + $ q_2^2X_1$ | 1.7024 | 1.7962 | 0.9478 | [X:[1.4], M:[1.2, 0.7, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^2.1 + t^3. + t^3.3 + 3*t^3.6 + 3*t^4.2 + 2*t^4.8 + t^5.1 + t^5.4 + 3*t^5.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 54477/32000, c: 57477/32000, X1: 7/5, M1: 6/5, M2: 7/10, M3: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5} |
45259 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2$ + $ q_2^4$ + $ q_1^2X_1$ | 1.691 | 1.7722 | 0.9542 | [X:[1.4], M:[1.2, 0.9, 1.2], q:[0.3, 0.5], qb:[], phi:[0.4]] | t^2.7 + t^3. + 3*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.8 + t^5.4 + t^5.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 54111/32000, c: 56711/32000, X1: 7/5, M1: 6/5, M2: 9/10, M3: 6/5, q1: 3/10, q2: 1/2, 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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
44987 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ | 1.7852 | 1.9105 | 0.9344 | [X:[], M:[1.2, 0.7943], q:[0.4057, 0.3943], qb:[], phi:[0.4]] | t^2.37 + t^2.38 + t^2.4 + t^2.43 + t^3.58 + 2*t^3.6 + t^4.73 + t^4.75 + 3*t^4.77 + t^4.78 + 4*t^4.8 + t^4.82 + 2*t^4.83 + t^4.87 + t^5.95 + 2*t^5.97 + 3*t^5.98 + t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y | detail | |
45098 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ | 1.752 | 1.852 | 0.946 | [X:[], M:[1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | 2*t^2.4 + 5*t^3.6 + 7*t^4.8 + 7*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 219/125, c: 463/250, M1: 6/5, M2: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |