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
4759	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$	0.6735	0.8485	0.7937	[M:[0.8784, 0.7216, 0.7608, 0.8392, 1.1608, 0.7608, 0.8392, 1.2392], q:[0.7608, 0.3608], qb:[0.4784, 0.8], phi:[0.4]]	[M:[[2], [-2], [-1], [1], [-1], [-1], [1], [1]], q:[[-1], [-1]], qb:[[2], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.165 + t^2.282 + t^2.4 + 2*t^2.518 + t^2.635 + t^3.365 + t^3.718 + t^4.07 + t^4.33 + t^4.447 + 3*t^4.565 + 4*t^4.682 + 3*t^4.8 + 4*t^4.918 + 4*t^5.035 + t^5.153 + t^5.27 + t^5.53 + 2*t^5.765 + 2*t^5.882 - 2*t^6. + 2*t^6.235 + t^6.47 + t^6.495 + 2*t^6.588 + t^6.612 + t^6.705 + 4*t^6.73 + 4*t^6.847 + 4*t^6.965 + 8*t^7.082 + 6*t^7.2 + 5*t^7.318 + 8*t^7.435 + 5*t^7.553 + t^7.67 + t^7.695 + 2*t^7.788 + t^7.905 + 3*t^7.93 + 2*t^8.047 + t^8.141 - 3*t^8.165 - t^8.4 - 7*t^8.518 - t^8.635 + t^8.659 + 2*t^8.753 + t^8.777 + 4*t^8.895 + 3*t^8.988 - t^4.2/y - t^6.365/y - t^6.482/y - t^6.6/y - t^6.718/y - t^6.835/y + t^7.447/y + (2*t^7.565)/y + (4*t^7.682)/y + (4*t^7.8)/y + (4*t^7.918)/y + (3*t^8.035)/y + (2*t^8.153)/y - t^8.765/y + t^8.882/y - t^4.2*y - t^6.365*y - t^6.482*y - t^6.6*y - t^6.718*y - t^6.835*y + t^7.447*y + 2*t^7.565*y + 4*t^7.682*y + 4*t^7.8*y + 4*t^7.918*y + 3*t^8.035*y + 2*t^8.153*y - t^8.765*y + t^8.882*y	t^2.165/g1^2 + t^2.282/g1 + t^2.4 + 2*g1*t^2.518 + g1^2*t^2.635 + t^3.365/g1^2 + g1*t^3.718 + g1^4*t^4.07 + t^4.33/g1^4 + t^4.447/g1^3 + (3*t^4.565)/g1^2 + (4*t^4.682)/g1 + 3*t^4.8 + 4*g1*t^4.918 + 4*g1^2*t^5.035 + g1^3*t^5.153 + g1^4*t^5.27 + t^5.53/g1^4 + (2*t^5.765)/g1^2 + (2*t^5.882)/g1 - 2*t^6. + 2*g1^2*t^6.235 + g1^4*t^6.47 + t^6.495/g1^6 + 2*g1^5*t^6.588 + t^6.612/g1^5 + g1^6*t^6.705 + (4*t^6.73)/g1^4 + (4*t^6.847)/g1^3 + (4*t^6.965)/g1^2 + (8*t^7.082)/g1 + 6*t^7.2 + 5*g1*t^7.318 + 8*g1^2*t^7.435 + 5*g1^3*t^7.553 + g1^4*t^7.67 + t^7.695/g1^6 + 2*g1^5*t^7.788 + g1^6*t^7.905 + (3*t^7.93)/g1^4 + (2*t^8.047)/g1^3 + g1^8*t^8.141 - (3*t^8.165)/g1^2 - t^8.4 - 7*g1*t^8.518 - g1^2*t^8.635 + t^8.659/g1^8 + 2*g1^3*t^8.753 + t^8.777/g1^7 + (4*t^8.895)/g1^6 + 3*g1^5*t^8.988 - t^4.2/y - t^6.365/(g1^2*y) - t^6.482/(g1*y) - t^6.6/y - (g1*t^6.718)/y - (g1^2*t^6.835)/y + t^7.447/(g1^3*y) + (2*t^7.565)/(g1^2*y) + (4*t^7.682)/(g1*y) + (4*t^7.8)/y + (4*g1*t^7.918)/y + (3*g1^2*t^8.035)/y + (2*g1^3*t^8.153)/y - t^8.765/(g1^2*y) + t^8.882/(g1*y) - t^4.2*y - (t^6.365*y)/g1^2 - (t^6.482*y)/g1 - t^6.6*y - g1*t^6.718*y - g1^2*t^6.835*y + (t^7.447*y)/g1^3 + (2*t^7.565*y)/g1^2 + (4*t^7.682*y)/g1 + 4*t^7.8*y + 4*g1*t^7.918*y + 3*g1^2*t^8.035*y + 2*g1^3*t^8.153*y - (t^8.765*y)/g1^2 + (t^8.882*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
6364	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{9}$	0.6598	0.8251	0.7997	[M:[0.8894, 0.7106, 0.7553, 0.8447, 1.1553, 0.7553, 0.8447, 1.2447, 1.1553], q:[0.7553, 0.3553], qb:[0.4894, 0.8], phi:[0.4]]	t^2.132 + t^2.266 + t^2.4 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 3*t^4.532 + 3*t^4.666 + 2*t^4.8 + 3*t^4.934 + 2*t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. - t^4.2/y - t^4.2*y	detail
6365	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{8}M_{9}$	0.6921	0.8823	0.7845	[M:[0.885, 0.715, 0.7575, 0.8425, 1.1575, 0.7575, 0.8425, 1.2425, 0.7575], q:[0.7575, 0.3575], qb:[0.485, 0.8], phi:[0.4]]	t^2.145 + 2*t^2.273 + t^2.4 + 2*t^2.527 + t^2.655 + t^3.345 + t^4.11 + t^4.29 + 2*t^4.418 + 5*t^4.545 + 5*t^4.673 + 5*t^4.8 + 5*t^4.927 + 4*t^5.055 + t^5.182 + t^5.31 + t^5.49 + t^5.618 + 2*t^5.745 + t^5.873 - 3*t^6. - t^4.2/y - t^4.2*y	detail
6363	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$	0.657	0.8195	0.8017	[M:[0.8784, 0.7216, 0.7608, 0.8392, 1.1608, 0.7608, 0.8392, 1.2392, 1.2], q:[0.7608, 0.3608], qb:[0.4784, 0.8], phi:[0.4]]	t^2.165 + t^2.282 + 2*t^2.518 + t^2.635 + t^3.365 + t^3.6 + t^3.718 + t^4.07 + t^4.33 + t^4.447 + 2*t^4.565 + 3*t^4.682 + 2*t^4.8 + 2*t^4.918 + 3*t^5.035 + t^5.153 + t^5.27 + t^5.53 + 2*t^5.765 + 3*t^5.882 - 2*t^6. - t^4.2/y - t^4.2*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
2637	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$	0.6955	0.8765	0.7936	[M:[1.013, 0.7766, 0.9542, 0.8354, 1.1646, 0.7172, 0.8354, 1.0458], q:[0.5987, 0.3883], qb:[0.4471, 0.7763], phi:[0.4474]]	t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. - t^4.342/y - t^4.342*y	detail