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 |
---|---|---|---|---|---|---|---|---|---|
50883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6476 | 0.8122 | 0.7972 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7651, 0.8], q:[0.4175, 0.3825], qb:[0.8175, 0.7825], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [2], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_5\phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_5q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | 0 | t^2.3 + 4*t^2.4 + 2*t^3.5 + t^3.6 + t^3.7 + t^4.59 + 4*t^4.7 + 11*t^4.8 + 2*t^5.79 + 7*t^5.9 + 2*t^6.1 + t^6.89 + 7*t^6.99 + 9*t^7.1 + 18*t^7.2 - 3*t^7.3 + t^7.41 + 2*t^8.09 + 7*t^8.19 + 12*t^8.3 - 10*t^8.4 + t^8.5 - t^4.2/y - t^6.5/y - (3*t^6.6)/y + (4*t^7.7)/y + (9*t^7.8)/y + t^7.9/y + t^8.79/y + (6*t^8.9)/y - t^4.2*y - t^6.5*y - 3*t^6.6*y + 4*t^7.7*y + 9*t^7.8*y + t^7.9*y + t^8.79*y + 6*t^8.9*y | g1^2*t^2.3 + 4*t^2.4 + 2*g1^2*t^3.5 + t^3.6 + t^3.7/g1^2 + g1^4*t^4.59 + 4*g1^2*t^4.7 + 11*t^4.8 + 2*g1^4*t^5.79 + 7*g1^2*t^5.9 + (2*t^6.1)/g1^2 + g1^6*t^6.89 + 7*g1^4*t^6.99 + 9*g1^2*t^7.1 + 18*t^7.2 - (3*t^7.3)/g1^2 + t^7.41/g1^4 + 2*g1^6*t^8.09 + 7*g1^4*t^8.19 + 12*g1^2*t^8.3 - 10*t^8.4 + t^8.5/g1^2 - t^4.2/y - (g1^2*t^6.5)/y - (3*t^6.6)/y + (4*g1^2*t^7.7)/y + (9*t^7.8)/y + t^7.9/(g1^2*y) + (g1^4*t^8.79)/y + (6*g1^2*t^8.9)/y - t^4.2*y - g1^2*t^6.5*y - 3*t^6.6*y + 4*g1^2*t^7.7*y + 9*t^7.8*y + (t^7.9*y)/g1^2 + g1^4*t^8.79*y + 6*g1^2*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
56178 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6641 | 0.8412 | 0.7894 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7651, 0.8, 0.8], q:[0.4175, 0.3825], qb:[0.8175, 0.7825], phi:[0.4]] | t^2.3 + 5*t^2.4 + 2*t^3.5 + t^3.7 + t^4.59 + 5*t^4.7 + 16*t^4.8 + 2*t^5.79 + 8*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
48116 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.648 | 0.8137 | 0.7964 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7748, 0.7748], q:[0.4126, 0.3874], qb:[0.8378, 0.7622], phi:[0.4]] | 2*t^2.32 + 3*t^2.4 + t^3.45 + 2*t^3.52 + t^3.75 + 3*t^4.65 + 6*t^4.72 + 7*t^4.8 + 2*t^5.77 + 6*t^5.85 + 4*t^5.92 - 3*t^6. - t^4.2/y - t^4.2*y | detail |