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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5445 | 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_2M_8$ | 0.6072 | 0.7542 | 0.8051 | [X:[1.453], M:[0.547, 1.151, 0.7483, 1.0503, 0.9497, 0.9497, 1.0721, 0.849], q:[0.7878, 0.6653], qb:[0.5864, 0.2626], phi:[0.4245]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [-4], [-34], [-12]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_8$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ X_1$, $ M_3^2$, $ M_3M_8$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_3M_6$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_5M_8$, $ M_6M_8$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_7M_8$, $ M_7\phi_1^2$ | . | -3 | t^2.24 + 2*t^2.55 + 2*t^2.85 + t^3.22 + t^3.82 + t^4.06 + t^4.12 + t^4.36 + t^4.49 + 2*t^4.79 + 5*t^5.09 + t^5.27 + 4*t^5.4 + t^5.46 + 2*t^5.7 + t^5.76 - 3*t^6. + 2*t^6.07 - t^6.24 - t^6.3 + 2*t^6.37 + t^6.43 + t^6.6 + 3*t^6.67 + t^6.73 + 2*t^6.91 + 2*t^7.04 - 2*t^7.27 + 6*t^7.34 - t^7.51 - t^7.58 + 8*t^7.64 + t^7.71 + t^7.81 - t^7.88 + 8*t^7.94 + 2*t^8.01 + 2*t^8.11 + t^8.24 + 3*t^8.31 - 5*t^8.55 + 3*t^8.61 + t^8.68 - 2*t^8.78 - 9*t^8.85 + 6*t^8.91 + 2*t^8.98 - t^4.27/y - t^6.52/y - t^6.82/y + t^7.06/y - t^7.12/y + t^7.42/y - t^7.49/y + t^7.73/y + (2*t^7.79)/y + t^8.03/y + (3*t^8.09)/y + (4*t^8.4)/y + t^8.46/y + t^8.7/y + t^8.76/y - t^4.27*y - t^6.52*y - t^6.82*y + t^7.06*y - t^7.12*y + t^7.42*y - t^7.49*y + t^7.73*y + 2*t^7.79*y + t^8.03*y + 3*t^8.09*y + 4*t^8.4*y + t^8.46*y + t^8.7*y + t^8.76*y | t^2.24/g1^20 + (2*t^2.55)/g1^12 + (2*t^2.85)/g1^4 + t^3.22/g1^34 + t^3.82/g1^18 + g1^28*t^4.06 + t^4.12/g1^10 + g1^36*t^4.36 + t^4.49/g1^40 + (2*t^4.79)/g1^32 + (5*t^5.09)/g1^24 + g1^60*t^5.27 + (4*t^5.4)/g1^16 + t^5.46/g1^54 + (2*t^5.7)/g1^8 + t^5.76/g1^46 - 3*t^6. + (2*t^6.07)/g1^38 - g1^46*t^6.24 - g1^8*t^6.3 + (2*t^6.37)/g1^30 + t^6.43/g1^68 + g1^16*t^6.6 + (3*t^6.67)/g1^22 + t^6.73/g1^60 + 2*g1^24*t^6.91 + (2*t^7.04)/g1^52 - (2*t^7.27)/g1^6 + (6*t^7.34)/g1^44 - g1^40*t^7.51 - g1^2*t^7.58 + (8*t^7.64)/g1^36 + t^7.71/g1^74 + g1^48*t^7.81 - g1^10*t^7.88 + (8*t^7.94)/g1^28 + (2*t^8.01)/g1^66 + 2*g1^56*t^8.11 + t^8.24/g1^20 + (3*t^8.31)/g1^58 - (5*t^8.55)/g1^12 + (3*t^8.61)/g1^50 + t^8.68/g1^88 - 2*g1^34*t^8.78 - (9*t^8.85)/g1^4 + (6*t^8.91)/g1^42 + (2*t^8.98)/g1^80 - t^4.27/(g1^6*y) - t^6.52/(g1^26*y) - t^6.82/(g1^18*y) + (g1^28*t^7.06)/y - t^7.12/(g1^10*y) + t^7.42/(g1^2*y) - t^7.49/(g1^40*y) + (g1^6*t^7.73)/y + (2*t^7.79)/(g1^32*y) + (g1^14*t^8.03)/y + (3*t^8.09)/(g1^24*y) + (4*t^8.4)/(g1^16*y) + t^8.46/(g1^54*y) + t^8.7/(g1^8*y) + t^8.76/(g1^46*y) - (t^4.27*y)/g1^6 - (t^6.52*y)/g1^26 - (t^6.82*y)/g1^18 + g1^28*t^7.06*y - (t^7.12*y)/g1^10 + (t^7.42*y)/g1^2 - (t^7.49*y)/g1^40 + g1^6*t^7.73*y + (2*t^7.79*y)/g1^32 + g1^14*t^8.03*y + (3*t^8.09*y)/g1^24 + (4*t^8.4*y)/g1^16 + (t^8.46*y)/g1^54 + (t^8.7*y)/g1^8 + (t^8.76*y)/g1^46 |
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 |
---|---|---|---|---|---|---|---|---|
6910 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_2M_8$ + $ M_3M_7$ | 0.5981 | 0.7393 | 0.809 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852, 0.8889], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.44 + 2*t^2.67 + 2*t^2.89 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + 2*t^5.11 + 5*t^5.33 + 4*t^5.56 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 20929/34992, c: 12935/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, M8: 8/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6911 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_2M_8$ + $ M_3M_9$ | 0.5883 | 0.7193 | 0.8179 | [X:[1.4331], M:[0.5669, 1.1444, 0.7594, 1.0481, 0.9519, 0.9519, 1.091, 0.8556, 1.2406], q:[0.7861, 0.647], qb:[0.5936, 0.262], phi:[0.4278]] | 2*t^2.57 + 2*t^2.86 + t^3.27 + t^3.72 + t^3.85 + t^4.01 + t^4.14 + t^4.3 + 3*t^5.13 + t^5.17 + 4*t^5.42 + 2*t^5.71 + t^5.84 - 3*t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
3845 | 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ | 0.5943 | 0.7313 | 0.8126 | [X:[1.4327], M:[0.5673, 1.1442, 0.7596, 1.0481, 0.9519, 0.9519, 1.0913], q:[0.7861, 0.6467], qb:[0.5937, 0.262], phi:[0.4279]] | t^2.28 + t^2.57 + 2*t^2.86 + t^3.27 + t^3.43 + t^3.85 + t^4.01 + t^4.14 + t^4.3 + t^4.56 + t^4.85 + 3*t^5.13 + t^5.16 + 2*t^5.42 + t^5.55 + 3*t^5.71 - 2*t^6. - t^4.28/y - t^4.28*y | detail |