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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6747 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6856 | 0.8881 | 0.7719 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.8276, 0.8276, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 133761/195112, c: 21661/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 24/29, M7: 24/29, M8: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_8$, $ q_2\tilde{q}_2$, $ M_6$, $ M_7$, $ M_1$, $ M_2$, $ M_5$, $ M_3$, $ q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_8$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_4M_7$, $ M_8^2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ M_6M_8$, $ M_7M_8$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_1M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ M_1M_6$, $ M_1M_7$, $ M_1^2$, $ M_3M_4$, $ M_2M_8$, $ M_5M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_2M_6$, $ M_5M_6$, $ M_2M_7$, $ M_5M_7$, $ M_3M_8$, $ M_3q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ M_3M_6$, $ M_3M_7$ | . | -1 | t^2.07 + 2*t^2.28 + 2*t^2.48 + t^2.69 + 2*t^3.1 + t^3.31 + t^3.93 + 2*t^4.14 + 3*t^4.34 + 5*t^4.55 + 6*t^4.76 + 5*t^4.97 + 4*t^5.17 + 5*t^5.38 + 5*t^5.59 + 3*t^5.79 - t^6. + 4*t^6.21 + 6*t^6.41 + 7*t^6.62 + 10*t^6.83 + 11*t^7.03 + 14*t^7.24 + 12*t^7.45 + 12*t^7.66 + 10*t^7.86 + 7*t^8.07 + 4*t^8.28 + 3*t^8.48 + 9*t^8.69 + 13*t^8.9 - t^4.45/y - t^6.52/y - t^6.72/y - (2*t^6.93)/y + (3*t^7.34)/y + (2*t^7.55)/y + (5*t^7.76)/y + (5*t^7.97)/y + (5*t^8.17)/y + (6*t^8.38)/y + (5*t^8.59)/y + (3*t^8.79)/y - t^4.45*y - t^6.52*y - t^6.72*y - 2*t^6.93*y + 3*t^7.34*y + 2*t^7.55*y + 5*t^7.76*y + 5*t^7.97*y + 5*t^8.17*y + 6*t^8.38*y + 5*t^8.59*y + 3*t^8.79*y | t^2.07 + 2*t^2.28 + 2*t^2.48 + t^2.69 + 2*t^3.1 + t^3.31 + t^3.93 + 2*t^4.14 + 3*t^4.34 + 5*t^4.55 + 6*t^4.76 + 5*t^4.97 + 4*t^5.17 + 5*t^5.38 + 5*t^5.59 + 3*t^5.79 - t^6. + 4*t^6.21 + 6*t^6.41 + 7*t^6.62 + 10*t^6.83 + 11*t^7.03 + 14*t^7.24 + 12*t^7.45 + 12*t^7.66 + 10*t^7.86 + 7*t^8.07 + 4*t^8.28 + 3*t^8.48 + 9*t^8.69 + 13*t^8.9 - t^4.45/y - t^6.52/y - t^6.72/y - (2*t^6.93)/y + (3*t^7.34)/y + (2*t^7.55)/y + (5*t^7.76)/y + (5*t^7.97)/y + (5*t^8.17)/y + (6*t^8.38)/y + (5*t^8.59)/y + (3*t^8.79)/y - t^4.45*y - t^6.52*y - t^6.72*y - 2*t^6.93*y + 3*t^7.34*y + 2*t^7.55*y + 5*t^7.76*y + 5*t^7.97*y + 5*t^8.17*y + 6*t^8.38*y + 5*t^8.59*y + 3*t^8.79*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
5187 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6669 | 0.8544 | 0.7805 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.8276, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + 2*t^2.48 + t^2.69 + 2*t^3.1 + t^3.31 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 3*t^4.55 + 4*t^4.76 + 4*t^4.97 + 4*t^5.17 + 3*t^5.38 + 4*t^5.59 + 4*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 260235/390224, c: 166701/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 24/29, M7: 24/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |