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 |
---|---|---|---|---|---|---|---|---|---|
3981 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6552 | 0.8044 | 0.8145 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5037/7688, c: 773/961, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_4M_7$, $ M_4M_6$, $ M_1M_7$, $ M_1M_6$, $ M_2M_7$, $ M_4^2$, $ M_2M_6$, $ M_3M_7$ | . | 0 | t^2.32 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.23 + t^5.42 + t^5.61 + 2*t^5.81 + 2*t^6.19 + 3*t^6.39 + 3*t^6.58 + 2*t^6.77 + 3*t^6.97 + 4*t^7.16 + 3*t^7.35 + 4*t^7.55 + 3*t^7.74 + 3*t^7.94 + 4*t^8.13 + t^8.32 + 2*t^8.52 + 2*t^8.71 + 2*t^8.9 - t^4.35/y - t^6.68/y + t^7.84/y + t^8.03/y + t^8.23/y + (2*t^8.42)/y + (2*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y + t^7.84*y + t^8.03*y + t^8.23*y + 2*t^8.42*y + 2*t^8.61*y + 2*t^8.81*y | t^2.32 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.23 + t^5.42 + t^5.61 + 2*t^5.81 + 2*t^6.19 + 3*t^6.39 + 3*t^6.58 + 2*t^6.77 + 3*t^6.97 + 4*t^7.16 + 3*t^7.35 + 4*t^7.55 + 3*t^7.74 + 3*t^7.94 + 4*t^8.13 + t^8.32 + 2*t^8.52 + 2*t^8.71 + 2*t^8.9 - t^4.35/y - t^6.68/y + t^7.84/y + t^8.03/y + t^8.23/y + (2*t^8.42)/y + (2*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y + t^7.84*y + t^8.03*y + t^8.23*y + 2*t^8.42*y + 2*t^8.61*y + 2*t^8.81*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 |
---|---|---|---|---|---|---|---|---|
5526 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6755 | 0.8429 | 0.8015 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742, 0.7097], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | t^2.13 + t^2.32 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.68 + 2*t^4.06 + 2*t^4.26 + 2*t^4.45 + 2*t^4.65 + 2*t^4.84 + 2*t^5.03 + 2*t^5.23 + 2*t^5.42 + 2*t^5.61 + 3*t^5.81 - t^4.35/y - t^4.35*y | detail | {a: 321987/476656, c: 200875/238328, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, M8: 22/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
5524 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6731 | 0.8364 | 0.8048 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742, 0.7742], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | 2*t^2.32 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + 3*t^4.65 + 3*t^4.84 + t^5.03 + 2*t^5.23 + 2*t^5.42 + 2*t^5.61 + 3*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 320841/476656, c: 199341/238328, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, M8: 24/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
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 |
---|---|---|---|---|---|---|---|---|---|
1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |