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 |
---|---|---|---|---|---|---|---|---|---|
5339 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_6$ + $ M_5M_7$ | 0.4206 | 0.4975 | 0.8454 | [X:[1.5385, 1.8462, 1.3846], M:[1.2308, 0.4615, 0.7692, 0.1538, 1.0769, 0.9231, 0.9231], q:[0.3077, 1.3846], qb:[0.4615, 0.6154], phi:[0.3077]] | [X:[[0], [0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 924/2197, c: 1093/2197, X1: 20/13, X2: 24/13, X3: 18/13, M1: 16/13, M2: 6/13, M3: 10/13, M4: 2/13, M5: 14/13, M6: 12/13, M7: 12/13, q1: 4/13, q2: 18/13, qb1: 6/13, qb2: 8/13, phi1: 4/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_6$, $ M_7$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_3$, $ M_3^2$, $ X_1$, $ M_3M_6$, $ M_3M_7$, $ q_1q_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ X_2$ | . | -1 | t^2.31 + 2*t^2.77 + t^3.69 + t^4.15 + t^4.62 + 2*t^5.08 + 2*t^5.54 - t^6. + t^6.92 + t^7.38 + 2*t^7.85 + t^8.31 - 2*t^8.77 - t^3.92/y - t^6.69/y + t^7.15/y + (2*t^8.08)/y + t^8.54/y - t^3.92*y - t^6.69*y + t^7.15*y + 2*t^8.08*y + t^8.54*y | t^2.31 + 2*t^2.77 + t^3.69 + t^4.15 + t^4.62 + 2*t^5.08 + 2*t^5.54 - t^6. + t^6.92 + t^7.38 + 2*t^7.85 + t^8.31 - 2*t^8.77 - t^3.92/y - t^6.69/y + t^7.15/y + (2*t^8.08)/y + t^8.54/y - t^3.92*y - t^6.69*y + t^7.15*y + 2*t^8.08*y + 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 |
---|---|---|---|---|---|---|---|---|
6853 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_1M_8$ | 0.4388 | 0.5301 | 0.8277 | [X:[1.5385, 1.8462, 1.3846], M:[1.2308, 0.4615, 0.7692, 0.1538, 1.0769, 0.9231, 0.9231, 0.7692], q:[0.3077, 1.3846], qb:[0.4615, 0.6154], phi:[0.3077]] | 2*t^2.31 + 2*t^2.77 + t^4.15 + 3*t^4.62 + 4*t^5.08 + 2*t^5.54 - 2*t^6. - t^3.92/y - t^3.92*y | detail | {a: 15423/35152, c: 9317/17576, X1: 20/13, X2: 24/13, X3: 18/13, M1: 16/13, M2: 6/13, M3: 10/13, M4: 2/13, M5: 14/13, M6: 12/13, M7: 12/13, M8: 10/13, q1: 4/13, q2: 18/13, qb1: 6/13, qb2: 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 |
---|---|---|---|---|---|---|---|---|---|
3721 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_6$ | 0.4135 | 0.4856 | 0.8515 | [X:[1.5385, 1.8462, 1.3846], M:[1.2308, 0.4615, 0.7692, 0.1538, 1.0769, 0.9231], q:[0.3077, 1.3846], qb:[0.4615, 0.6154], phi:[0.3077]] | t^2.31 + t^2.77 + t^3.23 + t^3.69 + t^4.15 + t^4.62 + t^5.08 + t^5.54 - t^3.92/y - t^3.92*y | detail | {a: 14535/35152, c: 8535/17576, X1: 20/13, X2: 24/13, X3: 18/13, M1: 16/13, M2: 6/13, M3: 10/13, M4: 2/13, M5: 14/13, M6: 12/13, q1: 4/13, q2: 18/13, qb1: 6/13, qb2: 8/13, phi1: 4/13} |