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 |
---|---|---|---|---|---|---|---|---|---|
4963 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_3X_2$ | 0.4782 | 0.597 | 0.8011 | [X:[1.7, 1.4], M:[1.0, 1.2, 0.6, 1.3, 0.3, 0.7, 0.9], q:[0.2, 0.8], qb:[0.5, 0.9], phi:[0.4]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 15303/32000, c: 19103/32000, X1: 17/10, X2: 7/5, M1: 1, M2: 6/5, M3: 3/5, M4: 13/10, M5: 3/10, M6: 7/10, M7: 9/10, q1: 1/5, q2: 4/5, qb1: 1/2, qb2: 9/10, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ \phi_1q_1^2$, $ M_7$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ X_2$, $ M_6\phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1^2q_1^4$, $ M_1M_6$, $ M_7\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_7^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_1M_7$, $ \phi_1q_1^3\tilde{q}_2$ | . | -2 | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + t^4.8 + t^5.1 + 3*t^5.4 + 2*t^5.7 - 2*t^6. + 2*t^6.3 + 6*t^6.6 + 2*t^6.9 + t^7.2 + 2*t^7.5 + 3*t^7.8 - t^8.1 + t^8.4 + t^8.7 - t^4.2/y - t^6.9/y + (2*t^7.5)/y + t^7.8/y + (2*t^8.1)/y + (2*t^8.4)/y + (3*t^8.7)/y - t^4.2*y - t^6.9*y + 2*t^7.5*y + t^7.8*y + 2*t^8.1*y + 2*t^8.4*y + 3*t^8.7*y | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + t^4.8 + t^5.1 + 3*t^5.4 + 2*t^5.7 - 2*t^6. + 2*t^6.3 + 6*t^6.6 + 2*t^6.9 + t^7.2 + 2*t^7.5 + 3*t^7.8 - t^8.1 + t^8.4 + t^8.7 - t^4.2/y - t^6.9/y + (2*t^7.5)/y + t^7.8/y + (2*t^8.1)/y + (2*t^8.4)/y + (3*t^8.7)/y - t^4.2*y - t^6.9*y + 2*t^7.5*y + t^7.8*y + 2*t^8.1*y + 2*t^8.4*y + 3*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
6575 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_3X_2$ + $ M_7M_8$ | 0.4691 | 0.5816 | 0.8066 | [X:[1.7, 1.4], M:[1.0, 1.2, 0.6, 1.3, 0.3, 0.7, 0.9, 1.1], q:[0.2, 0.8], qb:[0.5, 0.9], phi:[0.4]] | t^2.1 + t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + 3*t^5.4 + 2*t^5.7 - 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 3753/8000, c: 4653/8000, X1: 17/10, X2: 7/5, M1: 1, M2: 6/5, M3: 3/5, M4: 13/10, M5: 3/10, M6: 7/10, M7: 9/10, M8: 11/10, q1: 1/5, q2: 4/5, qb1: 1/2, qb2: 9/10, phi1: 2/5} |
6547 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_3X_2$ + $ M_8q_1\tilde{q}_2$ | 0.4873 | 0.6123 | 0.7959 | [X:[1.7, 1.4], M:[1.0, 1.2, 0.6, 1.3, 0.3, 0.7, 0.9, 0.9], q:[0.2, 0.8], qb:[0.5, 0.9], phi:[0.4]] | t^2.1 + t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 2*t^5.7 - 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 7797/16000, c: 9797/16000, X1: 17/10, X2: 7/5, M1: 1, M2: 6/5, M3: 3/5, M4: 13/10, M5: 3/10, M6: 7/10, M7: 9/10, M8: 9/10, q1: 1/5, q2: 4/5, qb1: 1/2, qb2: 9/10, 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 |
---|---|---|---|---|---|---|---|---|---|
3063 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6268 | 0.8143 | 0.7698 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 0.7678], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.09 + t^2.23 + t^2.3 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.77 + t^3.84 + t^4.18 + t^4.32 + t^4.39 + 3*t^4.46 + t^4.54 + 3*t^4.61 + t^4.68 + 2*t^4.75 + t^4.95 + t^5.02 + t^5.09 + 3*t^5.16 + 2*t^5.23 + 3*t^5.3 + 2*t^5.37 + t^5.45 + t^5.72 + t^5.79 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |