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
57632	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.3357	1.5044	0.8879	[X:[1.4001], M:[0.8998], q:[0.6555, 0.389], qb:[0.7446, 0.4113], phi:[0.2999]]	[X:[[0, 4]], M:[[0, -6]], q:[[1, -3], [-2, 8]], qb:[[-1, 7], [2, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.4 + 2*t^2.7 + t^3.2 + t^3.4 + t^4.1 + 3*t^4.2 + t^4.3 + t^4.8 + 3*t^5.1 + t^5.2 + 3*t^5.4 + 2*t^5.6 + t^5.8 + t^5.9 - 2*t^6. + 2*t^6.1 + t^6.2 + 2*t^6.4 + 2*t^6.5 + 5*t^6.6 + t^6.7 + t^6.8 + 3*t^6.9 + t^7.2 + t^7.3 + 3*t^7.4 + 4*t^7.5 + 4*t^7.6 + 3*t^7.8 - t^7.9 + t^8. + 4*t^8.1 + t^8.2 + 4*t^8.3 + 3*t^8.4 + 5*t^8.5 + 4*t^8.6 - 3*t^8.7 + 3*t^8.8 + 3*t^8.9 + t^8.7/y^2 - t^3.9/y - t^4.8/y - t^6.3/y - (2*t^6.6)/y - t^7.1/y - t^7.3/y - (2*t^7.5)/y - t^8./y + t^8.1/y - t^8.2/y + t^8.4/y + t^8.6/y - t^8.7/y + t^8.8/y + (2*t^8.9)/y - t^3.9*y - t^4.8*y - t^6.3*y - 2*t^6.6*y - t^7.1*y - t^7.3*y - 2*t^7.5*y - t^8.*y + t^8.1*y - t^8.2*y + t^8.4*y + t^8.6*y - t^8.7*y + t^8.8*y + 2*t^8.9*y + t^8.7*y^2	g2^8*t^2.4 + (2*t^2.7)/g2^6 + (g1^3*t^3.2)/g2^3 + (g2^15*t^3.4)/g1^3 + (g1^3*t^4.1)/g2^5 + 3*g2^4*t^4.2 + (g2^13*t^4.3)/g1^3 + g2^16*t^4.8 + 3*g2^2*t^5.1 + (g2^11*t^5.2)/g1^3 + (3*t^5.4)/g2^12 + 2*g1^3*g2^5*t^5.6 + (g2^23*t^5.8)/g1^3 + (g1^3*t^5.9)/g2^9 - 2*t^6. + (2*g2^9*t^6.1)/g1^3 + (g2^18*t^6.2)/g1^6 + (2*g1^6*t^6.4)/g2^6 + 2*g1^3*g2^3*t^6.5 + 5*g2^12*t^6.6 + (g2^21*t^6.7)/g1^3 + (g2^30*t^6.8)/g1^6 + (3*t^6.9)/g2^2 + g2^24*t^7.2 + (g1^6*t^7.3)/g2^8 + 3*g1^3*g2*t^7.4 + 4*g2^10*t^7.5 + (4*g2^19*t^7.6)/g1^3 - (g1^3*t^7.7)/g2^13 + (g2^28*t^7.7)/g1^6 + (3*t^7.8)/g2^4 - (g2^5*t^7.9)/g1^3 + 2*g1^3*g2^13*t^8. - (g2^14*t^8.)/g1^6 + (4*t^8.1)/g2^18 + (g2^31*t^8.2)/g1^3 + (4*g1^3*t^8.3)/g2 + 3*g2^8*t^8.4 + (5*g2^17*t^8.5)/g1^3 + (g1^3*t^8.6)/g2^15 + (3*g2^26*t^8.6)/g1^6 - (3*t^8.7)/g2^6 + 3*g1^6*g2^2*t^8.8 + 2*g1^3*g2^11*t^8.9 + (g2^12*t^8.9)/g1^6 + t^8.7/(g2^6*y^2) - t^3.9/(g2^2*y) - t^4.8/(g2^4*y) - (g2^6*t^6.3)/y - (2*t^6.6)/(g2^8*y) - (g1^3*t^7.1)/(g2^5*y) - (g2^13*t^7.3)/(g1^3*y) - (2*t^7.5)/(g2^10*y) - (g1^3*t^8.)/(g2^7*y) + (g2^2*t^8.1)/y - (g2^11*t^8.2)/(g1^3*y) + t^8.4/(g2^12*y) + (g1^3*g2^5*t^8.6)/y - (g2^14*t^8.7)/y + (g2^23*t^8.8)/(g1^3*y) + (2*g1^3*t^8.9)/(g2^9*y) - (t^3.9*y)/g2^2 - (t^4.8*y)/g2^4 - g2^6*t^6.3*y - (2*t^6.6*y)/g2^8 - (g1^3*t^7.1*y)/g2^5 - (g2^13*t^7.3*y)/g1^3 - (2*t^7.5*y)/g2^10 - (g1^3*t^8.*y)/g2^7 + g2^2*t^8.1*y - (g2^11*t^8.2*y)/g1^3 + (t^8.4*y)/g2^12 + g1^3*g2^5*t^8.6*y - g2^14*t^8.7*y + (g2^23*t^8.8*y)/g1^3 + (2*g1^3*t^8.9*y)/g2^9 + (t^8.7*y^2)/g2^6

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
59001	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.3494	1.5258	0.8844	[X:[1.4134], M:[0.8799, 0.8177], q:[0.6459, 0.4148], qb:[0.7675, 0.412], phi:[0.2933]]	t^2.45 + t^2.48 + 2*t^2.64 + t^3.17 + t^4.05 + 3*t^4.24 + t^4.43 + t^4.91 + t^4.93 + t^4.96 + 2*t^5.09 + 3*t^5.12 + 3*t^5.28 + t^5.31 + t^5.63 + 2*t^5.65 + t^5.81 - 2*t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*y	detail
59373	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.26	1.41	0.8936	[X:[1.4667], M:[0.8], q:[0.5778, 0.5778], qb:[0.8889, 0.3556], phi:[0.2667]]	2*t^2.4 + 2*t^2.8 + t^3.6 + 4*t^4.4 + 3*t^4.8 + 5*t^5.2 + 5*t^5.6 - t^6. - t^3.8/y - t^4.6/y - t^3.8*y - t^4.6*y	detail	{a: 63/50, c: 141/100, X1: 22/15, M1: 4/5, q1: 26/45, q2: 26/45, qb1: 8/9, qb2: 16/45, phi1: 4/15}
58816	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	1.3345	1.4994	0.89	[X:[1.4138], M:[0.8793], q:[0.6494, 0.408], qb:[0.7644, 0.4196], phi:[0.2931]]	t^2.48 + 2*t^2.64 + t^3.21 + t^3.52 + t^4.09 + 3*t^4.24 + t^4.4 + t^4.97 + 3*t^5.12 + 4*t^5.28 + 2*t^5.69 + t^5.84 - t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*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
47932	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$	1.3274	1.4947	0.8881	[X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]]	t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. - t^3.919/y - t^4.839/y - t^3.919*y - t^4.839*y	detail