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 |
---|---|---|---|---|---|---|---|---|---|
713 | 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_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.648 | 0.7954 | 0.8147 | [X:[], M:[1.1448, 1.0943, 0.931, 0.8552, 0.8805], q:[0.7736, 0.346], qb:[0.5093, 0.5598], phi:[0.4529]] | [X:[], M:[[8], [-4], [10], [-8], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_3M_5$, $ \phi_1^4$, $ M_3^2$, $ M_2M_5$ | . | -1 | t^2.57 + t^2.64 + t^2.72 + t^2.79 + t^3.28 + t^3.43 + t^3.85 + t^3.92 + t^4. + t^4.08 + t^4.41 + t^4.57 + t^4.72 + t^5.13 + t^5.21 + 2*t^5.28 + t^5.36 + 2*t^5.43 + t^5.59 + t^5.92 - t^6. + t^6.08 + t^6.23 + t^6.41 + t^6.49 + 2*t^6.57 + t^6.64 + t^6.72 + t^6.79 + t^6.87 + t^6.98 + t^7.06 + 2*t^7.13 + t^7.21 + t^7.28 + t^7.36 + t^7.43 + t^7.51 + 2*t^7.7 + t^7.77 + 3*t^7.85 + 2*t^7.92 + 2*t^8. + t^8.08 + 2*t^8.15 + t^8.23 + t^8.26 + t^8.34 + t^8.38 + t^8.41 - 2*t^8.64 - 2*t^8.79 + t^8.83 + t^8.87 + 2*t^8.98 - t^4.36/y - t^7./y - t^7.15/y + t^7.57/y + t^7.72/y + t^8.21/y + t^8.28/y + (2*t^8.36)/y + t^8.43/y + t^8.51/y + t^8.85/y + t^8.92/y - t^4.36*y - t^7.*y - t^7.15*y + t^7.57*y + t^7.72*y + t^8.21*y + t^8.28*y + 2*t^8.36*y + t^8.43*y + t^8.51*y + t^8.85*y + t^8.92*y | t^2.57/g1^8 + t^2.64/g1^2 + g1^4*t^2.72 + g1^10*t^2.79 + t^3.28/g1^4 + g1^8*t^3.43 + t^3.85/g1^12 + t^3.92/g1^6 + t^4. + g1^6*t^4.08 + t^4.41/g1^20 + t^4.57/g1^8 + g1^4*t^4.72 + t^5.13/g1^16 + t^5.21/g1^10 + (2*t^5.28)/g1^4 + g1^2*t^5.36 + 2*g1^8*t^5.43 + g1^20*t^5.59 + t^5.92/g1^6 - t^6. + g1^6*t^6.08 + g1^18*t^6.23 + t^6.41/g1^20 + t^6.49/g1^14 + (2*t^6.57)/g1^8 + t^6.64/g1^2 + g1^4*t^6.72 + g1^10*t^6.79 + g1^16*t^6.87 + t^6.98/g1^28 + t^7.06/g1^22 + (2*t^7.13)/g1^16 + t^7.21/g1^10 + t^7.28/g1^4 + g1^2*t^7.36 + g1^8*t^7.43 + g1^14*t^7.51 + (2*t^7.7)/g1^24 + t^7.77/g1^18 + (3*t^7.85)/g1^12 + (2*t^7.92)/g1^6 + 2*t^8. + g1^6*t^8.08 + 2*g1^12*t^8.15 + g1^18*t^8.23 + t^8.26/g1^32 + t^8.34/g1^26 + g1^30*t^8.38 + t^8.41/g1^20 - (2*t^8.64)/g1^2 - 2*g1^10*t^8.79 + t^8.83/g1^40 + g1^16*t^8.87 + (2*t^8.98)/g1^28 - (g1^2*t^4.36)/y - t^7./y - (g1^12*t^7.15)/y + t^7.57/(g1^8*y) + (g1^4*t^7.72)/y + t^8.21/(g1^10*y) + t^8.28/(g1^4*y) + (2*g1^2*t^8.36)/y + (g1^8*t^8.43)/y + (g1^14*t^8.51)/y + t^8.85/(g1^12*y) + t^8.92/(g1^6*y) - g1^2*t^4.36*y - t^7.*y - g1^12*t^7.15*y + (t^7.57*y)/g1^8 + g1^4*t^7.72*y + (t^8.21*y)/g1^10 + (t^8.28*y)/g1^4 + 2*g1^2*t^8.36*y + g1^8*t^8.43*y + g1^14*t^8.51*y + (t^8.85*y)/g1^12 + (t^8.92*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
1168 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ + $ M_3^2$ | 0.642 | 0.792 | 0.8106 | [X:[], M:[1.2, 1.0667, 1.0, 0.8, 0.8667], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 321/500, c: 99/125, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 13/15, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
1169 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.6683 | 0.8337 | 0.8015 | [X:[], M:[1.1367, 1.0983, 0.9209, 0.8633, 0.8825, 0.7051], q:[0.7746, 0.3429], qb:[0.5204, 0.5588], phi:[0.4508]] | t^2.12 + t^2.59 + t^2.65 + t^2.71 + t^2.76 + t^3.29 + t^3.41 + t^3.94 + t^4. + t^4.06 + t^4.23 + t^4.47 + t^4.59 + 2*t^4.71 + t^4.76 + t^4.82 + t^4.88 + t^5.18 + t^5.24 + 2*t^5.29 + t^5.35 + 3*t^5.41 + 2*t^5.53 + t^5.94 - t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
427 | 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_2^2$ + $ M_1M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |