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 |
---|---|---|---|---|---|---|---|---|---|
50908 | 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_5\phi_1^2$ + $ M_2^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3X_1$ | 0.6343 | 0.7707 | 0.8231 | [X:[1.3636], M:[1.1818, 1.0, 0.6364, 0.8182, 1.0909], q:[0.4091, 0.4091], qb:[0.5909, 0.7727], phi:[0.4545]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 13509/21296, c: 16413/21296, X1: 15/11, M1: 13/11, M2: 1, M3: 7/11, M4: 9/11, M5: 12/11, q1: 9/22, q2: 9/22, qb1: 13/22, qb2: 17/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ X_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$ | $M_2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$ | 0 | t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 2*t^4.91 + t^5.73 + 3*t^6.27 + 2*t^6.55 + 5*t^6.82 + 3*t^7.09 + 6*t^7.36 + 7*t^7.64 + 3*t^7.91 + 4*t^8.18 - t^8.45 + 3*t^8.73 - t^4.36/y + (2*t^8.45)/y + t^8.73/y - t^4.36*y + 2*t^8.45*y + t^8.73*y | t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 2*t^4.91 + t^5.73 + 3*t^6.27 + 2*t^6.55 + 5*t^6.82 + 3*t^7.09 + 6*t^7.36 + 7*t^7.64 + 3*t^7.91 + 4*t^8.18 - t^8.45 + 3*t^8.73 - t^4.36/y + (2*t^8.45)/y + t^8.73/y - t^4.36*y + 2*t^8.45*y + t^8.73*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 |
---|---|---|---|---|---|---|---|---|
56295 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_2^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3X_1$ + $ M_6\phi_1q_1^2$ | 0.6542 | 0.8076 | 0.81 | [X:[1.3636], M:[1.1818, 1.0, 0.6364, 0.8182, 1.0909, 0.7273], q:[0.4091, 0.4091], qb:[0.5909, 0.7727], phi:[0.4545]] | t^2.18 + t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + t^4.64 + 2*t^4.91 + 2*t^5.18 + t^5.45 + 3*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3483/5324, c: 17199/21296, X1: 15/11, M1: 13/11, M2: 1, M3: 7/11, M4: 9/11, M5: 12/11, M6: 8/11, q1: 9/22, q2: 9/22, qb1: 13/22, qb2: 17/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
47122 | 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_5\phi_1^2$ + $ M_2^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[1.1545, 1.0, 0.6911, 0.8455, 1.0772], q:[0.4604, 0.3852], qb:[0.5396, 0.7693], phi:[0.4614]] | t^2.07 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.7 + t^3.92 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.61 + t^4.62 + t^4.85 + 2*t^5.07 + t^5.3 + t^5.31 + t^5.54 + t^5.55 + 2*t^5.77 + t^5.99 - t^6. - t^4.38/y - t^4.38*y | detail |