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
55229	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6704	0.8481	0.7904	[M:[1.1562, 0.7343, 0.8438, 0.8073, 0.8438, 0.6978], q:[0.4037, 0.4402], qb:[0.8621, 0.7525], phi:[0.3854]]	[M:[[12], [18], [-12], [-2], [-12], [28]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$	0	t^2.093 + t^2.203 + t^2.312 + t^2.422 + 2*t^2.531 + t^3.578 + t^3.688 + t^3.797 + t^4.187 + t^4.296 + 2*t^4.406 + 2*t^4.515 + 4*t^4.625 + 3*t^4.734 + 4*t^4.844 + 2*t^4.953 + 3*t^5.063 + t^5.671 + t^5.781 + t^5.89 + 2*t^6.11 + 2*t^6.219 + t^6.28 + 2*t^6.329 + t^6.389 + 2*t^6.499 + 3*t^6.609 + 5*t^6.718 + 5*t^6.828 + 7*t^6.937 + 5*t^7.047 + 7*t^7.156 + 4*t^7.266 + 5*t^7.375 + 2*t^7.485 + 4*t^7.594 + t^7.765 + t^7.874 + t^7.984 - t^8.093 - t^8.312 + t^8.373 - t^8.422 + t^8.483 - 2*t^8.531 + 2*t^8.592 + 2*t^8.641 + 3*t^8.702 + 2*t^8.751 + 6*t^8.811 + 3*t^8.86 + 6*t^8.921 - t^4.156/y - t^6.249/y - t^6.359/y - t^6.469/y - t^6.578/y - t^6.688/y + t^7.296/y + t^7.406/y + (2*t^7.515)/y + (4*t^7.625)/y + (4*t^7.734)/y + (3*t^7.844)/y + (3*t^7.953)/y + (2*t^8.063)/y - t^8.343/y - t^8.452/y - (2*t^8.562)/y - t^8.671/y - t^8.781/y + t^8.89/y - t^4.156*y - t^6.249*y - t^6.359*y - t^6.469*y - t^6.578*y - t^6.688*y + t^7.296*y + t^7.406*y + 2*t^7.515*y + 4*t^7.625*y + 4*t^7.734*y + 3*t^7.844*y + 3*t^7.953*y + 2*t^8.063*y - t^8.343*y - t^8.452*y - 2*t^8.562*y - t^8.671*y - t^8.781*y + t^8.89*y	g1^28*t^2.093 + g1^18*t^2.203 + g1^8*t^2.312 + t^2.422/g1^2 + (2*t^2.531)/g1^12 + g1^2*t^3.578 + t^3.688/g1^8 + t^3.797/g1^18 + g1^56*t^4.187 + g1^46*t^4.296 + 2*g1^36*t^4.406 + 2*g1^26*t^4.515 + 4*g1^16*t^4.625 + 3*g1^6*t^4.734 + (4*t^4.844)/g1^4 + (2*t^4.953)/g1^14 + (3*t^5.063)/g1^24 + g1^30*t^5.671 + g1^20*t^5.781 + g1^10*t^5.89 + (2*t^6.11)/g1^10 + (2*t^6.219)/g1^20 + g1^84*t^6.28 + (2*t^6.329)/g1^30 + g1^74*t^6.389 + 2*g1^64*t^6.499 + 3*g1^54*t^6.609 + 5*g1^44*t^6.718 + 5*g1^34*t^6.828 + 7*g1^24*t^6.937 + 5*g1^14*t^7.047 + 7*g1^4*t^7.156 + (4*t^7.266)/g1^6 + (5*t^7.375)/g1^16 + (2*t^7.485)/g1^26 + (4*t^7.594)/g1^36 + g1^58*t^7.765 + g1^48*t^7.874 + g1^38*t^7.984 - g1^28*t^8.093 - g1^8*t^8.312 + g1^112*t^8.373 - t^8.422/g1^2 + g1^102*t^8.483 - (2*t^8.531)/g1^12 + 2*g1^92*t^8.592 + (2*t^8.641)/g1^22 + 3*g1^82*t^8.702 + (2*t^8.751)/g1^32 + 6*g1^72*t^8.811 + (3*t^8.86)/g1^42 + 6*g1^62*t^8.921 - (g1^4*t^4.156)/y - (g1^32*t^6.249)/y - (g1^22*t^6.359)/y - (g1^12*t^6.469)/y - (g1^2*t^6.578)/y - t^6.688/(g1^8*y) + (g1^46*t^7.296)/y + (g1^36*t^7.406)/y + (2*g1^26*t^7.515)/y + (4*g1^16*t^7.625)/y + (4*g1^6*t^7.734)/y + (3*t^7.844)/(g1^4*y) + (3*t^7.953)/(g1^14*y) + (2*t^8.063)/(g1^24*y) - (g1^60*t^8.343)/y - (g1^50*t^8.452)/y - (2*g1^40*t^8.562)/y - (g1^30*t^8.671)/y - (g1^20*t^8.781)/y + (g1^10*t^8.89)/y - g1^4*t^4.156*y - g1^32*t^6.249*y - g1^22*t^6.359*y - g1^12*t^6.469*y - g1^2*t^6.578*y - (t^6.688*y)/g1^8 + g1^46*t^7.296*y + g1^36*t^7.406*y + 2*g1^26*t^7.515*y + 4*g1^16*t^7.625*y + 4*g1^6*t^7.734*y + (3*t^7.844*y)/g1^4 + (3*t^7.953*y)/g1^14 + (2*t^8.063*y)/g1^24 - g1^60*t^8.343*y - g1^50*t^8.452*y - 2*g1^40*t^8.562*y - g1^30*t^8.671*y - g1^20*t^8.781*y + g1^10*t^8.89*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
56885	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$	0.6103	0.78	0.7825	[M:[1.2857, 0.9286, 0.7143, 0.7857, 0.7143, 1.0], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]]	2*t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 4*t^5.357 + 4*t^5.571 + 3*t^5.786 + t^6. - t^4.286/y - t^4.286*y	detail	{a: 957/1568, c: 1223/1568, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 5/7, M6: 1, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, 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
47037	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$	0.6499	0.8094	0.803	[M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]]	t^2.237 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + t^3.763 + t^3.854 + t^4.474 + t^4.564 + 2*t^4.655 + 3*t^4.746 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 - t^4.164/y - t^4.164*y	detail