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 |
---|---|---|---|---|---|---|---|---|---|
4014 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6135 | 0.751 | 0.8169 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.9, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1227/2000, c: 751/1000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 9/10, M7: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$ | ${}M_{7}^{2}$ | 0 | t^2.1 + 2*t^2.7 + 2*t^3. + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 3*t^5.7 + 2*t^6.3 + 2*t^6.6 + 4*t^6.9 + 4*t^7.2 + 3*t^7.5 + 4*t^7.8 + 5*t^8.1 + 6*t^8.4 - 2*t^8.7 - t^4.2/y - t^6.3/y - t^6.9/y + t^7.5/y + (2*t^7.8)/y + (3*t^8.1)/y + (5*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.9*y + t^7.5*y + 2*t^7.8*y + 3*t^8.1*y + 5*t^8.7*y | t^2.1 + 2*t^2.7 + 2*t^3. + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 3*t^5.7 + 2*t^6.3 + 2*t^6.6 + 4*t^6.9 + 4*t^7.2 + 3*t^7.5 + 4*t^7.8 + 5*t^8.1 + 6*t^8.4 - 2*t^8.7 - t^4.2/y - t^6.3/y - t^6.9/y + t^7.5/y + (2*t^7.8)/y + (3*t^8.1)/y + (5*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.9*y + t^7.5*y + 2*t^7.8*y + 3*t^8.1*y + 5*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 |
---|---|---|---|---|---|---|---|---|
5569 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.634 | 0.7903 | 0.8023 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.9, 1.0, 0.7], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | 2*t^2.1 + 2*t^2.7 + 2*t^3. + t^3.6 + 5*t^4.2 + t^4.5 + 4*t^4.8 + 4*t^5.1 + 4*t^5.4 + 4*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 20289/32000, c: 25289/32000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 9/10, M7: 1, M8: 7/10, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, 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 |
---|---|---|---|---|---|---|---|---|---|
1622 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6708 | 0.8321 | 0.8061 | [M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] | t^2.285 + 2*t^2.485 + t^2.887 + t^3. + t^3.314 + t^3.628 + t^3.828 + t^3.942 + t^4.142 + t^4.343 + t^4.456 + t^4.57 + 2*t^4.77 + 4*t^4.971 + t^5.172 + t^5.285 + t^5.372 + t^5.485 + t^5.599 + t^5.773 + 2*t^5.799 + t^5.913 - 2*t^6. - t^4.343/y - t^4.343*y | detail |