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 |
---|---|---|---|---|---|---|---|---|---|
4025 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{6}M_{7}$ | 0.6166 | 0.7783 | 0.7922 | [M:[1.0, 1.1765, 0.7059, 0.7647, 0.8235, 1.0588, 0.9412], q:[0.7941, 0.2647], qb:[0.7353, 0.5588], phi:[0.4118]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12117/19652, c: 3824/4913, M1: 1, M2: 20/17, M3: 12/17, M4: 13/17, M5: 14/17, M6: 18/17, M7: 16/17, q1: 27/34, q2: 9/34, qb1: 25/34, qb2: 19/34, phi1: 7/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.118 + t^2.294 + 2*t^2.471 + t^2.824 + t^3. + t^3.176 + t^4.059 + 2*t^4.235 + t^4.412 + 4*t^4.588 + 2*t^4.765 + 4*t^4.941 + 2*t^5.118 + 4*t^5.294 + 2*t^5.471 + 3*t^5.647 - t^6. + t^6.176 + 2*t^6.353 + 2*t^6.529 + 3*t^6.706 + 3*t^6.882 + 8*t^7.059 + 4*t^7.235 + 8*t^7.412 + 5*t^7.588 + 6*t^7.765 + 2*t^7.941 + 3*t^8.118 - t^8.294 + 3*t^8.647 - t^4.235/y - t^6.353/y - t^6.529/y - t^6.706/y + t^7.412/y + (2*t^7.588)/y + (3*t^7.765)/y + (3*t^7.941)/y + (3*t^8.118)/y + (4*t^8.294)/y + (2*t^8.471)/y + t^8.647/y - t^8.824/y - t^4.235*y - t^6.353*y - t^6.529*y - t^6.706*y + t^7.412*y + 2*t^7.588*y + 3*t^7.765*y + 3*t^7.941*y + 3*t^8.118*y + 4*t^8.294*y + 2*t^8.471*y + t^8.647*y - t^8.824*y | t^2.118 + t^2.294 + 2*t^2.471 + t^2.824 + t^3. + t^3.176 + t^4.059 + 2*t^4.235 + t^4.412 + 4*t^4.588 + 2*t^4.765 + 4*t^4.941 + 2*t^5.118 + 4*t^5.294 + 2*t^5.471 + 3*t^5.647 - t^6. + t^6.176 + 2*t^6.353 + 2*t^6.529 + 3*t^6.706 + 3*t^6.882 + 8*t^7.059 + 4*t^7.235 + 8*t^7.412 + 5*t^7.588 + 6*t^7.765 + 2*t^7.941 + 3*t^8.118 - t^8.294 + 3*t^8.647 - t^4.235/y - t^6.353/y - t^6.529/y - t^6.706/y + t^7.412/y + (2*t^7.588)/y + (3*t^7.765)/y + (3*t^7.941)/y + (3*t^8.118)/y + (4*t^8.294)/y + (2*t^8.471)/y + t^8.647/y - t^8.824/y - t^4.235*y - t^6.353*y - t^6.529*y - t^6.706*y + t^7.412*y + 2*t^7.588*y + 3*t^7.765*y + 3*t^7.941*y + 3*t^8.118*y + 4*t^8.294*y + 2*t^8.471*y + t^8.647*y - t^8.824*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 |
---|---|---|---|---|---|---|---|---|
5572 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}M_{8}$ | 0.5962 | 0.7395 | 0.8061 | [M:[1.0, 1.1765, 0.7059, 0.7647, 0.8235, 1.0588, 0.9412, 1.2941], q:[0.7941, 0.2647], qb:[0.7353, 0.5588], phi:[0.4118]] | t^2.294 + 2*t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.882 + t^4.059 + t^4.235 + 2*t^4.588 + 2*t^4.765 + 3*t^4.941 + t^5.118 + 3*t^5.294 + 2*t^5.471 + 3*t^5.647 - t^6. - t^4.235/y - t^4.235*y | detail | {a: 46863/78608, c: 29067/39304, M1: 1, M2: 20/17, M3: 12/17, M4: 13/17, M5: 14/17, M6: 18/17, M7: 16/17, M8: 22/17, q1: 27/34, q2: 9/34, qb1: 25/34, qb2: 19/34, phi1: 7/17} |
5575 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{6}M_{8}$ | 0.622 | 0.7875 | 0.7899 | [M:[1.0, 1.1765, 0.7059, 0.7647, 0.8235, 1.0588, 0.9412, 0.9412], q:[0.7941, 0.2647], qb:[0.7353, 0.5588], phi:[0.4118]] | t^2.118 + t^2.294 + 2*t^2.471 + 2*t^2.824 + t^3. + t^4.059 + 2*t^4.235 + t^4.412 + 4*t^4.588 + 2*t^4.765 + 5*t^4.941 + 3*t^5.118 + 5*t^5.294 + t^5.471 + 3*t^5.647 + t^5.824 - 2*t^6. - t^4.235/y - t^4.235*y | detail | {a: 48897/78608, c: 30951/39304, M1: 1, M2: 20/17, M3: 12/17, M4: 13/17, M5: 14/17, M6: 18/17, M7: 16/17, M8: 16/17, q1: 27/34, q2: 9/34, qb1: 25/34, qb2: 19/34, phi1: 7/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
1632 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7184 | 0.9121 | 0.7876 | [M:[1.0, 1.1126, 0.9933, 0.6689, 0.8874, 0.6756, 0.7815], q:[0.7782, 0.4403], qb:[0.5597, 0.4471], phi:[0.4437]] | t^2.007 + t^2.027 + t^2.345 + 2*t^2.662 + t^2.98 + t^3. + t^3.676 + 3*t^4.013 + t^4.034 + t^4.054 + t^4.331 + 2*t^4.351 + t^4.371 + 2*t^4.669 + 4*t^4.689 + t^4.987 + 4*t^5.007 + t^5.027 + 4*t^5.324 + t^5.345 + t^5.642 + t^5.662 + t^5.682 + t^5.703 + t^5.96 - 2*t^6. - t^4.331/y - t^4.331*y | detail |