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 |
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2222 | 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_1M_3$ + $ M_2^2$ + $ M_4q_1q_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.7324 | 0.9213 | 0.795 | [X:[], M:[1.0215, 1.0, 0.9785, 0.7358, 0.6928, 0.7143, 0.9785], q:[0.7857, 0.4785], qb:[0.5, 0.5215], phi:[0.4286]] | [X:[], M:[[1], [0], [-1], [1], [-1], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_7$, $ M_2$, $ M_5^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_5M_7$, $ M_2M_5$, $ M_3M_6$, $ M_6M_7$, $ M_3M_4$, $ M_2M_6$, $ M_4M_7$, $ \phi_1^4$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_2\phi_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -2 | t^2.08 + t^2.14 + t^2.21 + t^2.57 + 2*t^2.94 + t^3. + 2*t^4.16 + 2*t^4.22 + 4*t^4.29 + 2*t^4.35 + 2*t^4.41 + t^4.65 + t^4.71 + t^4.78 + 2*t^5.01 + 3*t^5.08 + 4*t^5.14 + t^5.21 + 2*t^5.51 + t^5.57 + 2*t^5.87 - 2*t^6. - 2*t^6.06 - t^6.13 + 2*t^6.23 + 3*t^6.3 + 5*t^6.36 + 5*t^6.43 + 5*t^6.49 + 3*t^6.56 + 2*t^6.62 + 2*t^6.73 + t^6.79 + 2*t^6.86 + t^6.92 + 2*t^6.99 + 4*t^7.09 + 5*t^7.16 + 8*t^7.22 + 6*t^7.29 + 4*t^7.35 + t^7.41 + t^7.59 + 2*t^7.65 + 2*t^7.71 - t^7.84 + 2*t^7.95 + t^8.01 - 5*t^8.14 - 7*t^8.21 - 4*t^8.27 + 3*t^8.31 - t^8.34 + 4*t^8.38 + 10*t^8.44 + 7*t^8.51 + 8*t^8.57 + 5*t^8.64 + 7*t^8.7 + 4*t^8.77 + 4*t^8.81 + 3*t^8.83 + t^8.87 - 3*t^8.94 - t^4.29/y - t^6.36/y - t^6.43/y - t^6.49/y - t^6.86/y + t^7.29/y + (2*t^7.35)/y + t^7.65/y + (2*t^7.71)/y + t^7.78/y + (2*t^8.01)/y + (4*t^8.08)/y + (4*t^8.14)/y + (2*t^8.21)/y - t^8.44/y + t^8.51/y - t^8.57/y - t^8.64/y - t^8.7/y + t^8.87/y + t^8.94/y - t^4.29*y - t^6.36*y - t^6.43*y - t^6.49*y - t^6.86*y + t^7.29*y + 2*t^7.35*y + t^7.65*y + 2*t^7.71*y + t^7.78*y + 2*t^8.01*y + 4*t^8.08*y + 4*t^8.14*y + 2*t^8.21*y - t^8.44*y + t^8.51*y - t^8.57*y - t^8.64*y - t^8.7*y + t^8.87*y + t^8.94*y | t^2.08/g1 + t^2.14 + g1*t^2.21 + t^2.57 + (2*t^2.94)/g1 + t^3. + (2*t^4.16)/g1^2 + (2*t^4.22)/g1 + 4*t^4.29 + 2*g1*t^4.35 + 2*g1^2*t^4.41 + t^4.65/g1 + t^4.71 + g1*t^4.78 + (2*t^5.01)/g1^2 + (3*t^5.08)/g1 + 4*t^5.14 + g1*t^5.21 + (2*t^5.51)/g1 + t^5.57 + (2*t^5.87)/g1^2 - 2*t^6. - 2*g1*t^6.06 - g1^2*t^6.13 + (2*t^6.23)/g1^3 + (3*t^6.3)/g1^2 + (5*t^6.36)/g1 + 5*t^6.43 + 5*g1*t^6.49 + 3*g1^2*t^6.56 + 2*g1^3*t^6.62 + (2*t^6.73)/g1^2 + t^6.79/g1 + 2*t^6.86 + g1*t^6.92 + 2*g1^2*t^6.99 + (4*t^7.09)/g1^3 + (5*t^7.16)/g1^2 + (8*t^7.22)/g1 + 6*t^7.29 + 4*g1*t^7.35 + g1^2*t^7.41 + t^7.59/g1^2 + (2*t^7.65)/g1 + 2*t^7.71 - g1^2*t^7.84 + (2*t^7.95)/g1^3 + t^8.01/g1^2 - 5*t^8.14 - 7*g1*t^8.21 - 4*g1^2*t^8.27 + (3*t^8.31)/g1^4 - g1^3*t^8.34 + (4*t^8.38)/g1^3 + (10*t^8.44)/g1^2 + (7*t^8.51)/g1 + 8*t^8.57 + 5*g1*t^8.64 + 7*g1^2*t^8.7 + 4*g1^3*t^8.77 + (4*t^8.81)/g1^3 + 3*g1^4*t^8.83 + t^8.87/g1^2 - (3*t^8.94)/g1 - t^4.29/y - t^6.36/(g1*y) - t^6.43/y - (g1*t^6.49)/y - t^6.86/y + t^7.29/y + (2*g1*t^7.35)/y + t^7.65/(g1*y) + (2*t^7.71)/y + (g1*t^7.78)/y + (2*t^8.01)/(g1^2*y) + (4*t^8.08)/(g1*y) + (4*t^8.14)/y + (2*g1*t^8.21)/y - t^8.44/(g1^2*y) + t^8.51/(g1*y) - t^8.57/y - (g1*t^8.64)/y - (g1^2*t^8.7)/y + t^8.87/(g1^2*y) + t^8.94/(g1*y) - t^4.29*y - (t^6.36*y)/g1 - t^6.43*y - g1*t^6.49*y - t^6.86*y + t^7.29*y + 2*g1*t^7.35*y + (t^7.65*y)/g1 + 2*t^7.71*y + g1*t^7.78*y + (2*t^8.01*y)/g1^2 + (4*t^8.08*y)/g1 + 4*t^8.14*y + 2*g1*t^8.21*y - (t^8.44*y)/g1^2 + (t^8.51*y)/g1 - t^8.57*y - g1*t^8.64*y - g1^2*t^8.7*y + (t^8.87*y)/g1^2 + (t^8.94*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1187 | 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_1M_3$ + $ M_2^2$ + $ M_4q_1q_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.7314 | 0.9189 | 0.796 | [X:[], M:[1.0, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^2.14 + t^2.57 + 3*t^3. + 12*t^4.29 + 3*t^4.71 + 10*t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 2007/2744, c: 5043/5488, M1: 1, M2: 1, M3: 1, M4: 5/7, M5: 5/7, M6: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |