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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53690 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ | 0.5835 | 0.7308 | 0.7984 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7857], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 51237/87808, c: 64173/87808, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 11/14, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_5$, $ \phi_1^2$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ X_1$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 3*t^4.71 + t^4.93 + 2*t^5.14 + 3*t^5.36 + 3*t^5.57 + 2*t^5.79 + t^6. + 2*t^6.21 + 4*t^6.43 + 2*t^6.64 + 3*t^6.86 + 2*t^7.07 + 3*t^7.29 + 3*t^7.5 + 5*t^7.71 + 4*t^7.93 + t^8.14 + t^8.36 + 5*t^8.57 + 2*t^8.79 - t^4.29/y - t^6.64/y - t^6.86/y + t^7.5/y + (2*t^7.71)/y + (2*t^7.93)/y + t^8.14/y + (3*t^8.36)/y + (4*t^8.57)/y + (4*t^8.79)/y - t^4.29*y - t^6.64*y - t^6.86*y + t^7.5*y + 2*t^7.71*y + 2*t^7.93*y + t^8.14*y + 3*t^8.36*y + 4*t^8.57*y + 4*t^8.79*y | t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 3*t^4.71 + t^4.93 + 2*t^5.14 + 3*t^5.36 + 3*t^5.57 + 2*t^5.79 + t^6. + 2*t^6.21 + 4*t^6.43 + 2*t^6.64 + 3*t^6.86 + 2*t^7.07 + 3*t^7.29 + 3*t^7.5 + 5*t^7.71 + 4*t^7.93 + t^8.14 + t^8.36 + 5*t^8.57 + 2*t^8.79 - t^4.29/y - t^6.64/y - t^6.86/y + t^7.5/y + (2*t^7.71)/y + (2*t^7.93)/y + t^8.14/y + (3*t^8.36)/y + (4*t^8.57)/y + (4*t^8.79)/y - t^4.29*y - t^6.64*y - t^6.86*y + t^7.5*y + 2*t^7.71*y + 2*t^7.93*y + t^8.14*y + 3*t^8.36*y + 4*t^8.57*y + 4*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 |
---|---|---|---|---|---|---|---|---|
56475 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ | 0.6037 | 0.7689 | 0.7852 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7857, 0.7143], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | 2*t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.64 + 3*t^4.29 + 2*t^4.5 + 4*t^4.71 + t^4.93 + 3*t^5.14 + 5*t^5.36 + 4*t^5.57 + 3*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 53013/87808, c: 67517/87808, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 11/14, M6: 5/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
56474 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5961 | 0.7523 | 0.7923 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7857, 0.8571], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | t^2.14 + t^2.36 + 2*t^2.57 + t^3. + 2*t^3.21 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 4*t^4.71 + 2*t^4.93 + 4*t^5.14 + 3*t^5.36 + 3*t^5.57 + 3*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 52341/87808, c: 66061/87808, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 11/14, M6: 6/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
56472 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.5709 | 0.7093 | 0.8049 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7857, 1.1429], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | t^2.14 + t^2.36 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 2*t^4.71 + t^5.14 + 3*t^5.36 + 3*t^5.57 + t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 50133/87808, c: 62285/87808, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 11/14, M6: 8/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
47121 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.5843 | 0.7335 | 0.7966 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7557], q:[0.6936, 0.8779], qb:[0.3064, 0.4079], phi:[0.4286]] | t^2.14 + t^2.27 + t^2.57 + t^3. + t^3.12 + t^3.3 + t^3.43 + t^3.55 + t^3.86 + t^4.29 + t^4.41 + t^4.53 + 2*t^4.71 + t^4.84 + 2*t^5.14 + 2*t^5.27 + t^5.39 + t^5.45 + 2*t^5.57 + 2*t^5.7 + t^5.82 - t^4.29/y - t^4.29*y | detail |