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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55241 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.6396 | 0.787 | 0.8126 | [X:[], M:[1.1595, 0.8811, 0.8405, 0.7189, 0.7595, 1.2811], q:[0.3595, 0.4811], qb:[0.7595, 0.8], phi:[0.4]] | [X:[], M:[[1], [-2], [-1], [2], [1], [-2]], q:[[1], [-2]], qb:[[1], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ M_6$, $ \phi_1q_2^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_1M_5$, $ \phi_1^3q_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.28 + t^2.4 + t^2.52 + t^2.64 + t^3.36 + t^3.48 + t^3.72 + t^3.84 + t^4.09 + 2*t^4.56 + 2*t^4.68 + t^4.8 + 3*t^4.92 + 2*t^5.04 + t^5.29 + 3*t^5.76 + t^5.88 - t^6. + 2*t^6.12 + t^6.24 + t^6.36 + 2*t^6.49 + t^6.61 + t^6.71 + t^6.73 + t^6.84 + 2*t^6.96 + 2*t^7.08 + 2*t^7.2 + 3*t^7.32 + 3*t^7.44 + 3*t^7.56 + t^7.69 + t^7.81 + t^7.91 + 2*t^7.93 + 2*t^8.04 + t^8.16 + t^8.17 - t^8.28 + t^8.4 - t^8.52 - t^8.64 + 3*t^8.76 + t^8.89 - t^4.2/y - t^6.48/y - t^6.6/y - t^6.84/y + t^7.56/y + t^7.68/y + (2*t^7.8)/y + (3*t^7.92)/y + t^8.04/y + t^8.16/y + t^8.64/y + t^8.76/y + t^8.88/y - t^4.2*y - t^6.48*y - t^6.6*y - t^6.84*y + t^7.56*y + t^7.68*y + 2*t^7.8*y + 3*t^7.92*y + t^8.04*y + t^8.16*y + t^8.64*y + t^8.76*y + t^8.88*y | g1*t^2.28 + t^2.4 + t^2.52/g1 + t^2.64/g1^2 + g1^2*t^3.36 + g1*t^3.48 + t^3.72/g1 + t^3.84/g1^2 + t^4.09/g1^4 + 2*g1^2*t^4.56 + 2*g1*t^4.68 + t^4.8 + (3*t^4.92)/g1 + (2*t^5.04)/g1^2 + t^5.29/g1^4 + 3*g1^2*t^5.76 + g1*t^5.88 - t^6. + (2*t^6.12)/g1 + t^6.24/g1^2 + t^6.36/g1^3 + (2*t^6.49)/g1^4 + t^6.61/g1^5 + g1^4*t^6.71 + t^6.73/g1^6 + g1^3*t^6.84 + 2*g1^2*t^6.96 + 2*g1*t^7.08 + 2*t^7.2 + (3*t^7.32)/g1 + (3*t^7.44)/g1^2 + (3*t^7.56)/g1^3 + t^7.69/g1^4 + t^7.81/g1^5 + g1^4*t^7.91 + (2*t^7.93)/g1^6 + 2*g1^3*t^8.04 + g1^2*t^8.16 + t^8.17/g1^8 - g1*t^8.28 + t^8.4 - t^8.52/g1 - t^8.64/g1^2 + (3*t^8.76)/g1^3 + t^8.89/g1^4 - t^4.2/y - (g1*t^6.48)/y - t^6.6/y - t^6.84/(g1^2*y) + (g1^2*t^7.56)/y + (g1*t^7.68)/y + (2*t^7.8)/y + (3*t^7.92)/(g1*y) + t^8.04/(g1^2*y) + t^8.16/(g1^3*y) + (g1^3*t^8.64)/y + (g1^2*t^8.76)/y + (g1*t^8.88)/y - t^4.2*y - g1*t^6.48*y - t^6.6*y - (t^6.84*y)/g1^2 + g1^2*t^7.56*y + g1*t^7.68*y + 2*t^7.8*y + (3*t^7.92*y)/g1 + (t^8.04*y)/g1^2 + (t^8.16*y)/g1^3 + g1^3*t^8.64*y + g1^2*t^8.76*y + g1*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
56909 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_7$ | 0.6536 | 0.8118 | 0.8051 | [X:[], M:[1.1657, 0.8686, 0.8343, 0.7314, 0.7657, 1.2686, 0.8343], q:[0.3657, 0.4686], qb:[0.7657, 0.8], phi:[0.4]] | t^2.3 + t^2.4 + 2*t^2.5 + t^2.61 + t^3.39 + t^3.7 + t^3.81 + t^4.01 + 2*t^4.59 + 2*t^4.7 + 2*t^4.8 + 4*t^4.9 + 4*t^5.01 + t^5.11 + t^5.21 + 2*t^5.79 + t^5.9 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
56908 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7\phi_1^2$ | 0.6231 | 0.758 | 0.8219 | [X:[], M:[1.1595, 0.8811, 0.8405, 0.7189, 0.7595, 1.2811, 1.2], q:[0.3595, 0.4811], qb:[0.7595, 0.8], phi:[0.4]] | t^2.28 + t^2.52 + t^2.64 + t^3.36 + t^3.48 + t^3.6 + t^3.72 + t^3.84 + t^4.09 + 2*t^4.56 + t^4.68 + 2*t^4.92 + t^5.04 + t^5.29 + 2*t^5.76 + t^5.88 - t^6. - t^4.2/y - t^4.2*y | detail | |
56910 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_1$ | 0.6583 | 0.8208 | 0.802 | [X:[], M:[1.1556, 0.8889, 0.8444, 0.7111, 0.7556, 1.2889, 0.7556], q:[0.3556, 0.4889], qb:[0.7556, 0.8], phi:[0.4]] | 2*t^2.27 + t^2.4 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.87 + t^4.13 + 4*t^4.53 + 3*t^4.67 + 2*t^4.8 + 4*t^4.93 + 2*t^5.07 + t^5.33 + t^5.6 + 4*t^5.73 + t^5.87 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 11849/18000, c: 7387/9000, M1: 52/45, M2: 8/9, M3: 38/45, M4: 32/45, M5: 34/45, M6: 58/45, M7: 34/45, q1: 16/45, q2: 22/45, qb1: 34/45, qb2: 4/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47066 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ | 0.6598 | 0.8251 | 0.7997 | [X:[], M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.13 + t^2.27 + t^2.4 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.73 + t^4.14 + t^4.26 + t^4.4 + 3*t^4.53 + 3*t^4.67 + 2*t^4.8 + 3*t^4.93 + 2*t^5.07 + t^5.34 + t^5.46 + t^5.6 + 3*t^5.73 + 2*t^5.87 - t^6. - t^4.2/y - t^4.2*y | detail |