Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2343	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$	0.7298	0.9024	0.8087	[M:[1.0232, 1.0953, 0.7862, 0.9768, 0.8327, 1.0, 0.8094, 0.9768], q:[0.5, 0.4768], qb:[0.5232, 0.6906], phi:[0.4524]]	[M:[[1, 0], [0, 2], [-1, -4], [-1, 0], [1, -4], [0, 0], [0, -4], [-1, 0]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$	${}$	-3	t^2.359 + t^2.428 + t^2.498 + 2*t^2.93 + t^3. + t^3.286 + t^4.218 + t^4.287 + 2*t^4.357 + t^4.427 + t^4.496 + t^4.717 + t^4.787 + 2*t^4.857 + t^4.859 + t^4.926 + t^4.929 + t^4.996 + t^4.998 + 2*t^5.289 + 2*t^5.359 + 2*t^5.428 + t^5.5 + t^5.645 + t^5.714 + t^5.784 + 2*t^5.861 - 3*t^6. - 2*t^6.07 - t^6.139 + 2*t^6.216 + t^6.286 - t^6.502 - t^6.572 + t^6.576 - t^6.641 + 2*t^6.646 + 3*t^6.716 + 3*t^6.785 + 3*t^6.855 + 2*t^6.925 + t^6.994 + t^7.076 + t^7.146 + 2*t^7.148 + 2*t^7.215 + 3*t^7.218 + 2*t^7.285 + 4*t^7.287 + 2*t^7.355 + 3*t^7.357 + t^7.424 + 2*t^7.427 + t^7.494 + t^7.496 + 2*t^7.648 + 2*t^7.717 + 3*t^7.787 + t^7.789 + 2*t^7.857 + t^7.859 + t^7.926 - t^7.998 + t^8.003 - t^8.068 + t^8.073 + 2*t^8.143 + t^8.212 + 2*t^8.219 + t^8.282 - 3*t^8.359 - 6*t^8.428 + t^8.431 + t^8.436 - 6*t^8.498 + t^8.505 - 3*t^8.568 - t^8.57 + 4*t^8.575 - t^8.637 + 4*t^8.645 + 5*t^8.714 + 2*t^8.784 + 2*t^8.791 + 2*t^8.853 - 2*t^8.861 + t^8.923 - 8*t^8.93 + t^8.935 + t^8.993 - t^4.357/y - t^6.716/y - t^6.785/y - t^6.855/y - t^7.287/y + t^7.427/y + t^7.787/y + t^7.857/y + t^7.859/y + t^7.926/y + t^7.929/y + t^7.998/y + (2*t^8.289)/y + (3*t^8.359)/y + (3*t^8.428)/y + t^8.498/y + t^8.645/y + t^8.714/y + t^8.784/y + t^8.861/y + (2*t^8.93)/y - t^4.357*y - t^6.716*y - t^6.785*y - t^6.855*y - t^7.287*y + t^7.427*y + t^7.787*y + t^7.857*y + t^7.859*y + t^7.926*y + t^7.929*y + t^7.998*y + 2*t^8.289*y + 3*t^8.359*y + 3*t^8.428*y + t^8.498*y + t^8.645*y + t^8.714*y + t^8.784*y + t^8.861*y + 2*t^8.93*y	t^2.359/(g1*g2^4) + t^2.428/g2^4 + (g1*t^2.498)/g2^4 + (2*t^2.93)/g1 + t^3. + g2^2*t^3.286 + t^4.218/(g1^2*g2) + t^4.287/(g1*g2) + (2*t^4.357)/g2 + (g1*t^4.427)/g2 + (g1^2*t^4.496)/g2 + t^4.717/(g1^2*g2^8) + t^4.787/(g1*g2^8) + (2*t^4.857)/g2^8 + (g2^3*t^4.859)/g1 + (g1*t^4.926)/g2^8 + g2^3*t^4.929 + (g1^2*t^4.996)/g2^8 + g1*g2^3*t^4.998 + (2*t^5.289)/(g1^2*g2^4) + (2*t^5.359)/(g1*g2^4) + (2*t^5.428)/g2^4 + g2^7*t^5.5 + t^5.645/(g1*g2^2) + t^5.714/g2^2 + (g1*t^5.784)/g2^2 + (2*t^5.861)/g1^2 - 3*t^6. - 2*g1*t^6.07 - g1^2*t^6.139 + (2*g2^2*t^6.216)/g1 + g2^2*t^6.286 - (g2^4*t^6.502)/g1 - g2^4*t^6.572 + t^6.576/(g1^3*g2^5) - g1*g2^4*t^6.641 + (2*t^6.646)/(g1^2*g2^5) + (3*t^6.716)/(g1*g2^5) + (3*t^6.785)/g2^5 + (3*g1*t^6.855)/g2^5 + (2*g1^2*t^6.925)/g2^5 + (g1^3*t^6.994)/g2^5 + t^7.076/(g1^3*g2^12) + t^7.146/(g1^2*g2^12) + (2*t^7.148)/(g1^3*g2) + (2*t^7.215)/(g1*g2^12) + (3*t^7.218)/(g1^2*g2) + (2*t^7.285)/g2^12 + (4*t^7.287)/(g1*g2) + (2*g1*t^7.355)/g2^12 + (3*t^7.357)/g2 + (g1^2*t^7.424)/g2^12 + (2*g1*t^7.427)/g2 + (g1^3*t^7.494)/g2^12 + (g1^2*t^7.496)/g2 + (2*t^7.648)/(g1^3*g2^8) + (2*t^7.717)/(g1^2*g2^8) + (3*t^7.787)/(g1*g2^8) + (g2^3*t^7.789)/g1^2 + (2*t^7.857)/g2^8 + (g2^3*t^7.859)/g1 + (g1*t^7.926)/g2^8 - g1*g2^3*t^7.998 + t^8.003/(g1^2*g2^6) - g1^2*g2^3*t^8.068 + t^8.073/(g1*g2^6) + (2*t^8.143)/g2^6 + (g1*t^8.212)/g2^6 + (2*t^8.219)/(g1^3*g2^4) + (g1^2*t^8.282)/g2^6 - (3*t^8.359)/(g1*g2^4) - (6*t^8.428)/g2^4 + (g2^7*t^8.431)/g1 + t^8.436/(g1^4*g2^2) - (6*g1*t^8.498)/g2^4 + t^8.505/(g1^3*g2^2) - (3*g1^2*t^8.568)/g2^4 - g1*g2^7*t^8.57 + (4*t^8.575)/(g1^2*g2^2) - (g1^3*t^8.637)/g2^4 + (4*t^8.645)/(g1*g2^2) + (5*t^8.714)/g2^2 + (2*g1*t^8.784)/g2^2 + (2*t^8.791)/g1^3 + (2*g1^2*t^8.853)/g2^2 - (2*t^8.861)/g1^2 + (g1^3*t^8.923)/g2^2 - (8*t^8.93)/g1 + t^8.935/(g1^4*g2^9) + (g1^4*t^8.993)/g2^2 - t^4.357/(g2*y) - t^6.716/(g1*g2^5*y) - t^6.785/(g2^5*y) - (g1*t^6.855)/(g2^5*y) - t^7.287/(g1*g2*y) + (g1*t^7.427)/(g2*y) + t^7.787/(g1*g2^8*y) + t^7.857/(g2^8*y) + (g2^3*t^7.859)/(g1*y) + (g1*t^7.926)/(g2^8*y) + (g2^3*t^7.929)/y + (g1*g2^3*t^7.998)/y + (2*t^8.289)/(g1^2*g2^4*y) + (3*t^8.359)/(g1*g2^4*y) + (3*t^8.428)/(g2^4*y) + (g1*t^8.498)/(g2^4*y) + t^8.645/(g1*g2^2*y) + t^8.714/(g2^2*y) + (g1*t^8.784)/(g2^2*y) + t^8.861/(g1^2*y) + (2*t^8.93)/(g1*y) - (t^4.357*y)/g2 - (t^6.716*y)/(g1*g2^5) - (t^6.785*y)/g2^5 - (g1*t^6.855*y)/g2^5 - (t^7.287*y)/(g1*g2) + (g1*t^7.427*y)/g2 + (t^7.787*y)/(g1*g2^8) + (t^7.857*y)/g2^8 + (g2^3*t^7.859*y)/g1 + (g1*t^7.926*y)/g2^8 + g2^3*t^7.929*y + g1*g2^3*t^7.998*y + (2*t^8.289*y)/(g1^2*g2^4) + (3*t^8.359*y)/(g1*g2^4) + (3*t^8.428*y)/g2^4 + (g1*t^8.498*y)/g2^4 + (t^8.645*y)/(g1*g2^2) + (t^8.714*y)/g2^2 + (g1*t^8.784*y)/g2^2 + (t^8.861*y)/g1^2 + (2*t^8.93*y)/g1

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
4329	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$	0.6926	0.8483	0.8165	[M:[0.9751, 1.0062, 1.0125, 1.0249, 0.9626, 1.0, 0.9875, 1.0249], q:[0.5, 0.5249], qb:[0.4751, 0.5125], phi:[0.4969]]	t^2.888 + t^2.963 + t^3. + t^3.019 + t^3.037 + 2*t^3.075 + t^4.341 + t^4.416 + t^4.453 + 2*t^4.491 + t^4.528 + 2*t^4.565 + t^4.603 + t^4.64 + t^5.776 + t^5.907 + t^5.963 + t^5.981 - 2*t^6. - t^4.491/y - t^4.491*y	detail
4331	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{5}M_{7}$	0.7015	0.8648	0.8111	[M:[1.0697, 1.0174, 0.8955, 0.9303, 1.0348, 1.0, 0.9652, 0.9303], q:[0.5, 0.4303], qb:[0.5697, 0.5348], phi:[0.4913]]	t^2.686 + 2*t^2.791 + t^2.895 + t^3. + t^3.052 + t^3.105 + t^4.056 + t^4.265 + t^4.369 + 2*t^4.474 + t^4.578 + 2*t^4.683 + t^4.787 + t^4.892 + t^5.373 + 2*t^5.477 + 3*t^5.582 + 2*t^5.686 + t^5.739 + 2*t^5.791 + 2*t^5.843 + t^5.895 + t^5.948 - 2*t^6. - t^4.474/y - t^4.474*y	detail

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

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

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
1315	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7287	0.8998	0.8098	[M:[1.0, 1.0955, 0.809, 1.0, 0.809, 1.0, 0.809], q:[0.5, 0.5], qb:[0.5, 0.691], phi:[0.4523]]	3*t^2.427 + 3*t^3. + t^3.286 + 6*t^4.357 + 6*t^4.854 + 3*t^4.93 + 6*t^5.427 + t^5.503 + 3*t^5.714 - 4*t^6. - t^4.357/y - t^4.357*y	detail