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 |
---|---|---|---|---|---|---|---|---|---|
44993 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ | 1.711 | 1.7879 | 0.957 | [X:[1.3846], M:[0.9231], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 3759/2197, c: 3928/2197, X1: 18/13, M1: 12/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_1^2$, $ q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2$, $ q_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1q_1^2$, $ \phi_1^2q_2^2$ | $\phi_1^3q_1q_2$ | 0 | 2*t^2.77 + t^3.23 + 3*t^3.69 + 2*t^4.15 + t^4.62 + t^5.08 + 3*t^5.54 + 4*t^6.46 + 6*t^6.92 + 8*t^7.38 + 8*t^7.85 + 7*t^8.31 + 2*t^8.77 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - (2*t^6.69)/y - t^7.15/y - (3*t^7.62)/y - (2*t^8.08)/y - (3*t^8.54)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y - 2*t^6.69*y - t^7.15*y - 3*t^7.62*y - 2*t^8.08*y - 3*t^8.54*y | 2*t^2.77 + t^3.23 + 3*t^3.69 + 2*t^4.15 + t^4.62 + t^5.08 + 3*t^5.54 + 4*t^6.46 + 6*t^6.92 + 8*t^7.38 + 8*t^7.85 + 7*t^8.31 + 2*t^8.77 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - (2*t^6.69)/y - t^7.15/y - (3*t^7.62)/y - (2*t^8.08)/y - (3*t^8.54)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y - 2*t^6.69*y - t^7.15*y - 3*t^7.62*y - 2*t^8.08*y - 3*t^8.54*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 |
---|---|---|---|---|---|---|---|---|
45220 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ M_2q_1q_2$ | 1.7181 | 1.7998 | 0.9546 | [X:[1.3846], M:[0.9231, 0.9231], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | 3*t^2.77 + 3*t^3.69 + 2*t^4.15 + t^4.62 + t^5.08 + 6*t^5.54 - 2*t^6. - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 60393/35152, c: 31633/17576, X1: 18/13, M1: 12/13, M2: 12/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
45122 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ M_2q_1^2$ | 1.7039 | 1.776 | 0.9594 | [X:[1.3846], M:[0.9231, 1.0769], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | t^2.77 + 2*t^3.23 + 3*t^3.69 + 2*t^4.15 + t^4.62 + t^5.08 + t^5.54 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 59895/35152, c: 31215/17576, X1: 18/13, M1: 12/13, M2: 14/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
45155 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ | 1.7291 | 1.8205 | 0.9498 | [X:[1.3846], M:[0.9231, 0.7692], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | t^2.31 + 2*t^2.77 + t^3.23 + 2*t^3.69 + 2*t^4.15 + 2*t^4.62 + 3*t^5.08 + 4*t^5.54 + 2*t^6. - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 60783/35152, c: 31997/17576, X1: 18/13, M1: 12/13, M2: 10/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
44945 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ | 1.8057 | 1.9263 | 0.9374 | [X:[], M:[0.7935], q:[0.5171, 0.4487], qb:[], phi:[0.3447]] | t^2.07 + t^2.38 + t^2.69 + t^2.9 + t^3.1 + t^3.41 + t^3.93 + 2*t^4.14 + t^4.45 + 3*t^4.76 + 2*t^4.97 + t^5.07 + 2*t^5.17 + t^5.28 + t^5.38 + 2*t^5.48 + t^5.59 + 2*t^5.79 + t^6. - t^4.03/y - t^5.38/y - t^5.59/y - t^4.03*y - t^5.38*y - t^5.59*y | detail |