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
4373	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6051	0.7719	0.7839	[M:[0.7592, 1.1429, 0.9551, 0.7143, 1.0, 1.2857, 0.7143, 0.902], q:[0.9061, 0.3347], qb:[0.3796, 0.6653], phi:[0.4286]]	[M:[[2], [0], [-2], [0], [0], [0], [0], [2]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{8}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	${}$	-2	2*t^2.143 + t^2.277 + t^2.706 + t^2.865 + t^3. + 2*t^3.429 + t^3.563 + 3*t^4.286 + 2*t^4.42 + t^4.555 + t^4.714 + 2*t^4.849 + t^4.984 + 2*t^5.008 + 3*t^5.143 + t^5.277 + t^5.412 + 4*t^5.571 + 4*t^5.706 + t^5.731 + t^5.841 - 2*t^6. + t^6.135 + t^6.269 + t^6.294 + 5*t^6.429 + 3*t^6.563 + 2*t^6.698 - t^6.723 + t^6.832 + t^6.857 + 4*t^6.992 + 3*t^7.126 + t^7.151 + t^7.261 + 2*t^7.286 + 3*t^7.42 + 3*t^7.555 + t^7.69 + 5*t^7.714 + 6*t^7.849 + 2*t^7.874 + 4*t^7.984 + 2*t^8.118 - 4*t^8.143 + 3*t^8.412 + t^8.437 + t^8.547 + 6*t^8.571 + t^8.596 + 2*t^8.706 + 4*t^8.841 - 5*t^8.865 + 3*t^8.975 - t^4.286/y - t^6.429/y - t^6.563/y - t^6.992/y - t^7.151/y + t^7.286/y + (3*t^7.42)/y + t^7.58/y + (2*t^7.849)/y + t^7.984/y + (3*t^8.008)/y + (4*t^8.143)/y + t^8.277/y + (4*t^8.571)/y + (4*t^8.706)/y + t^8.865/y - t^4.286*y - t^6.429*y - t^6.563*y - t^6.992*y - t^7.151*y + t^7.286*y + 3*t^7.42*y + t^7.58*y + 2*t^7.849*y + t^7.984*y + 3*t^8.008*y + 4*t^8.143*y + t^8.277*y + 4*t^8.571*y + 4*t^8.706*y + t^8.865*y	2*t^2.143 + g1^2*t^2.277 + g1^2*t^2.706 + t^2.865/g1^2 + t^3. + 2*t^3.429 + g1^2*t^3.563 + 3*t^4.286 + 2*g1^2*t^4.42 + g1^4*t^4.555 + t^4.714 + 2*g1^2*t^4.849 + g1^4*t^4.984 + (2*t^5.008)/g1^2 + 3*t^5.143 + g1^2*t^5.277 + g1^4*t^5.412 + 4*t^5.571 + 4*g1^2*t^5.706 + t^5.731/g1^4 + g1^4*t^5.841 - 2*t^6. + g1^2*t^6.135 + g1^4*t^6.269 + t^6.294/g1^2 + 5*t^6.429 + 3*g1^2*t^6.563 + 2*g1^4*t^6.698 - t^6.723/g1^2 + g1^6*t^6.832 + t^6.857 + 4*g1^2*t^6.992 + 3*g1^4*t^7.126 + t^7.151/g1^2 + g1^6*t^7.261 + 2*t^7.286 + 3*g1^2*t^7.42 + 3*g1^4*t^7.555 + g1^6*t^7.69 + 5*t^7.714 + 6*g1^2*t^7.849 + (2*t^7.874)/g1^4 + 4*g1^4*t^7.984 + 2*g1^6*t^8.118 - 4*t^8.143 + 3*g1^4*t^8.412 + t^8.437/g1^2 + g1^6*t^8.547 + 6*t^8.571 + t^8.596/g1^6 + 2*g1^2*t^8.706 + 4*g1^4*t^8.841 - (5*t^8.865)/g1^2 + 3*g1^6*t^8.975 - t^4.286/y - t^6.429/y - (g1^2*t^6.563)/y - (g1^2*t^6.992)/y - t^7.151/(g1^2*y) + t^7.286/y + (3*g1^2*t^7.42)/y + t^7.58/(g1^2*y) + (2*g1^2*t^7.849)/y + (g1^4*t^7.984)/y + (3*t^8.008)/(g1^2*y) + (4*t^8.143)/y + (g1^2*t^8.277)/y + (4*t^8.571)/y + (4*g1^2*t^8.706)/y + t^8.865/(g1^2*y) - t^4.286*y - t^6.429*y - g1^2*t^6.563*y - g1^2*t^6.992*y - (t^7.151*y)/g1^2 + t^7.286*y + 3*g1^2*t^7.42*y + (t^7.58*y)/g1^2 + 2*g1^2*t^7.849*y + g1^4*t^7.984*y + (3*t^8.008*y)/g1^2 + 4*t^8.143*y + g1^2*t^8.277*y + 4*t^8.571*y + 4*g1^2*t^8.706*y + (t^8.865*y)/g1^2

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
5852	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$	0.5764	0.7327	0.7867	[M:[0.9286, 1.1429, 0.7857, 0.7143, 1.0, 1.2857, 0.7143, 1.0714], q:[0.8214, 0.25], qb:[0.4643, 0.75], phi:[0.4286]]	2*t^2.143 + t^2.357 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^4.071 + 3*t^4.286 + 2*t^4.5 + 2*t^4.714 + 2*t^4.929 + 3*t^5.143 + 2*t^5.357 + 5*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y	detail	{a: 50613/87808, c: 64333/87808, M1: 13/14, M2: 8/7, M3: 11/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, M8: 15/14, q1: 23/28, q2: 1/4, qb1: 13/28, qb2: 3/4, phi1: 3/7}
5842	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.6217	0.8002	0.7769	[M:[0.7857, 1.1429, 0.9286, 0.7143, 1.0, 1.2857, 0.7143, 0.9286, 0.7857], q:[0.8929, 0.3214], qb:[0.3929, 0.6786], phi:[0.4286]]	2*t^2.143 + 2*t^2.357 + 2*t^2.786 + t^3. + 2*t^3.429 + 3*t^4.286 + 4*t^4.5 + 4*t^4.714 + 4*t^4.929 + 6*t^5.143 + 2*t^5.357 + 6*t^5.571 + 4*t^5.786 - 2*t^6. - t^4.286/y - t^4.286*y	detail	{a: 13647/21952, c: 17567/21952, M1: 11/14, M2: 8/7, M3: 13/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, M8: 13/14, M9: 11/14, q1: 25/28, q2: 9/28, qb1: 11/28, qb2: 19/28, phi1: 3/7}

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
2364	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.5981	0.7588	0.7882	[M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]]	2*t^2.143 + t^2.411 + t^2.732 + t^3. + t^3.161 + 2*t^3.429 + t^3.696 + 3*t^4.286 + 2*t^4.554 + t^4.714 + t^4.821 + 2*t^4.875 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 4*t^5.571 + 3*t^5.839 + t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y	detail	{a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7}