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 |
---|---|---|---|---|---|---|---|---|---|
1075 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_1M_6$ | 0.6304 | 0.7813 | 0.8069 | [X:[], M:[0.8136, 1.2, 0.7864, 0.8, 0.8, 1.1864], q:[0.8, 0.3864], qb:[0.8, 0.4136], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_5$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_6$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_4$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_3M_6$, $ M_3q_1q_2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_4M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1q_2$ | $\phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$ | -2 | t^2.36 + 3*t^2.4 + t^3.52 + 2*t^3.56 + t^3.64 + t^3.68 + t^4.72 + 3*t^4.76 + 7*t^4.8 + t^5.88 + 4*t^5.92 + 4*t^5.96 - 2*t^6. + 2*t^6.04 + 2*t^6.08 + t^7.04 + 3*t^7.08 + 4*t^7.12 + 4*t^7.16 + 11*t^7.2 - 2*t^7.24 - t^7.28 + t^7.32 + t^7.36 + t^8.24 + 4*t^8.28 + 7*t^8.32 + 4*t^8.36 - 8*t^8.4 + t^8.44 + 3*t^8.48 - t^4.2/y - t^6.56/y - (2*t^6.6)/y + (3*t^7.76)/y + (5*t^7.8)/y + t^7.84/y + t^8.88/y + (4*t^8.92)/y + (4*t^8.96)/y - t^4.2*y - t^6.56*y - 2*t^6.6*y + 3*t^7.76*y + 5*t^7.8*y + t^7.84*y + t^8.88*y + 4*t^8.92*y + 4*t^8.96*y | t^2.36/g1 + 3*t^2.4 + t^3.52/g1^2 + (2*t^3.56)/g1 + g1*t^3.64 + g1^2*t^3.68 + t^4.72/g1^2 + (3*t^4.76)/g1 + 7*t^4.8 + t^5.88/g1^3 + (4*t^5.92)/g1^2 + (4*t^5.96)/g1 - 2*t^6. + 2*g1*t^6.04 + 2*g1^2*t^6.08 + t^7.04/g1^4 + (3*t^7.08)/g1^3 + (4*t^7.12)/g1^2 + (4*t^7.16)/g1 + 11*t^7.2 - 2*g1*t^7.24 - g1^2*t^7.28 + g1^3*t^7.32 + g1^4*t^7.36 + t^8.24/g1^4 + (4*t^8.28)/g1^3 + (7*t^8.32)/g1^2 + (4*t^8.36)/g1 - 8*t^8.4 + g1*t^8.44 + 3*g1^2*t^8.48 - t^4.2/y - t^6.56/(g1*y) - (2*t^6.6)/y + (3*t^7.76)/(g1*y) + (5*t^7.8)/y + (g1*t^7.84)/y + t^8.88/(g1^3*y) + (4*t^8.92)/(g1^2*y) + (4*t^8.96)/(g1*y) - t^4.2*y - (t^6.56*y)/g1 - 2*t^6.6*y + (3*t^7.76*y)/g1 + 5*t^7.8*y + g1*t^7.84*y + (t^8.88*y)/g1^3 + (4*t^8.92*y)/g1^2 + (4*t^8.96*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1671 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6468 | 0.81 | 0.7986 | [X:[], M:[0.7897, 1.2, 0.8103, 0.8, 0.8, 1.2103, 0.7793], q:[0.8, 0.4103], qb:[0.8, 0.3897], phi:[0.4]] | t^2.34 + 3*t^2.4 + t^2.43 + t^3.54 + t^3.57 + 2*t^3.63 + t^4.68 + 3*t^4.74 + t^4.77 + 7*t^4.8 + 3*t^4.83 + t^4.86 + t^5.88 + t^5.91 + 2*t^5.94 + 4*t^5.97 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
670 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ | 0.6465 | 0.809 | 0.7991 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 5*t^2.4 + 4*t^3.6 + 16*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1293/2000, c: 809/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |