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
3175	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6294	0.8148	0.7724	[M:[0.8901, 0.8242, 1.0, 0.7143, 1.2857, 0.7143, 0.7472], q:[0.6978, 0.4121], qb:[0.3022, 0.8736], phi:[0.4286]]	[M:[[2], [-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
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	-1	2*t^2.143 + t^2.242 + t^2.473 + t^2.571 + t^2.67 + t^3. + t^3.099 + t^3.429 + 3*t^4.286 + 2*t^4.384 + t^4.483 + 2*t^4.616 + 4*t^4.714 + 3*t^4.813 + t^4.912 + t^4.945 + t^5.044 + 4*t^5.143 + 4*t^5.242 + 2*t^5.34 + t^5.473 + 3*t^5.571 + 2*t^5.67 + t^5.769 - t^6. + t^6.099 + t^6.198 - t^6.33 + 3*t^6.429 + 3*t^6.527 + 2*t^6.626 + t^6.725 + 2*t^6.758 + 4*t^6.857 + 5*t^6.956 + 3*t^7.055 + 2*t^7.088 + t^7.153 + 2*t^7.187 + 6*t^7.286 + 9*t^7.384 + t^7.418 + 6*t^7.483 + t^7.517 + 2*t^7.582 + 3*t^7.616 + 7*t^7.714 + 7*t^7.813 + 5*t^7.912 + t^7.945 + 2*t^8.011 - 2*t^8.143 + t^8.242 + 4*t^8.34 + 2*t^8.439 - 5*t^8.473 + t^8.67 + 4*t^8.769 - t^8.802 + 3*t^8.868 - t^8.901 + t^8.966 - t^4.286/y - t^6.429/y - t^6.527/y - t^6.758/y - t^6.857/y - t^6.956/y + t^7.286/y + (2*t^7.384)/y + (3*t^7.616)/y + (4*t^7.714)/y + (4*t^7.813)/y + t^7.912/y + (2*t^8.044)/y + (4*t^8.143)/y + (4*t^8.242)/y + t^8.34/y + t^8.473/y + (3*t^8.571)/y + (2*t^8.67)/y - t^4.286*y - t^6.429*y - t^6.527*y - t^6.758*y - t^6.857*y - t^6.956*y + t^7.286*y + 2*t^7.384*y + 3*t^7.616*y + 4*t^7.714*y + 4*t^7.813*y + t^7.912*y + 2*t^8.044*y + 4*t^8.143*y + 4*t^8.242*y + t^8.34*y + t^8.473*y + 3*t^8.571*y + 2*t^8.67*y	2*t^2.143 + g1^2*t^2.242 + t^2.473/g1^2 + t^2.571 + g1^2*t^2.67 + t^3. + g1^2*t^3.099 + t^3.429 + 3*t^4.286 + 2*g1^2*t^4.384 + g1^4*t^4.483 + (2*t^4.616)/g1^2 + 4*t^4.714 + 3*g1^2*t^4.813 + g1^4*t^4.912 + t^4.945/g1^4 + t^5.044/g1^2 + 4*t^5.143 + 4*g1^2*t^5.242 + 2*g1^4*t^5.34 + t^5.473/g1^2 + 3*t^5.571 + 2*g1^2*t^5.67 + g1^4*t^5.769 - t^6. + g1^2*t^6.099 + g1^4*t^6.198 - t^6.33/g1^2 + 3*t^6.429 + 3*g1^2*t^6.527 + 2*g1^4*t^6.626 + g1^6*t^6.725 + (2*t^6.758)/g1^2 + 4*t^6.857 + 5*g1^2*t^6.956 + 3*g1^4*t^7.055 + (2*t^7.088)/g1^4 + g1^6*t^7.153 + (2*t^7.187)/g1^2 + 6*t^7.286 + 9*g1^2*t^7.384 + t^7.418/g1^6 + 6*g1^4*t^7.483 + t^7.517/g1^4 + 2*g1^6*t^7.582 + (3*t^7.616)/g1^2 + 7*t^7.714 + 7*g1^2*t^7.813 + 5*g1^4*t^7.912 + t^7.945/g1^4 + 2*g1^6*t^8.011 - 2*t^8.143 + g1^2*t^8.242 + 4*g1^4*t^8.34 + 2*g1^6*t^8.439 - (5*t^8.473)/g1^2 + g1^2*t^8.67 + 4*g1^4*t^8.769 - t^8.802/g1^4 + 3*g1^6*t^8.868 - t^8.901/g1^2 + g1^8*t^8.966 - t^4.286/y - t^6.429/y - (g1^2*t^6.527)/y - t^6.758/(g1^2*y) - t^6.857/y - (g1^2*t^6.956)/y + t^7.286/y + (2*g1^2*t^7.384)/y + (3*t^7.616)/(g1^2*y) + (4*t^7.714)/y + (4*g1^2*t^7.813)/y + (g1^4*t^7.912)/y + (2*t^8.044)/(g1^2*y) + (4*t^8.143)/y + (4*g1^2*t^8.242)/y + (g1^4*t^8.34)/y + t^8.473/(g1^2*y) + (3*t^8.571)/y + (2*g1^2*t^8.67)/y - t^4.286*y - t^6.429*y - g1^2*t^6.527*y - (t^6.758*y)/g1^2 - t^6.857*y - g1^2*t^6.956*y + t^7.286*y + 2*g1^2*t^7.384*y + (3*t^7.616*y)/g1^2 + 4*t^7.714*y + 4*g1^2*t^7.813*y + g1^4*t^7.912*y + (2*t^8.044*y)/g1^2 + 4*t^8.143*y + 4*g1^2*t^8.242*y + g1^4*t^8.34*y + (t^8.473*y)/g1^2 + 3*t^8.571*y + 2*g1^2*t^8.67*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
5050	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$	0.5717	0.7234	0.7902	[X:[1.3571], M:[1.0714, 0.6429, 1.0, 0.7143, 1.2857, 0.7143, 0.9286], q:[0.6071, 0.3214], qb:[0.3929, 0.9643], phi:[0.4286]]	2*t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^4.071 + 3*t^4.286 + 3*t^4.714 + 2*t^4.929 + 3*t^5.143 + 2*t^5.357 + 3*t^5.571 + 3*t^5.786 - t^4.286/y - t^4.286*y	detail	{a: 12549/21952, c: 15881/21952, X1: 19/14, M1: 15/14, M2: 9/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 13/14, q1: 17/28, q2: 9/28, qb1: 11/28, qb2: 27/28, 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
2100	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.6106	0.7803	0.7826	[M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]]	2*t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 3*t^4.714 + t^4.821 + 2*t^4.875 + t^4.982 + 4*t^5.143 + 3*t^5.304 + t^5.411 + t^5.464 + 3*t^5.571 + t^5.732 + 2*t^5.839 + t^5.893 - t^6. - t^4.286/y - t^4.286*y	detail	{a: 53619/87808, c: 68515/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7}