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
5170	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{5}M_{8}$	0.5751	0.7179	0.801	[M:[0.8569, 1.1428, 0.8575, 0.7142, 1.0002, 1.2858, 0.9998, 0.9998], q:[0.8574, 0.2858], qb:[0.4284, 0.7141], phi:[0.4286]]	[M:[[12], [2], [-16], [3], [-7], [-3], [7], [7]], q:[[-9], [-3]], qb:[[6], [10]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	${}$	-2	t^2.143 + t^2.571 + t^2.573 + 2*t^3. + 2*t^3.428 + t^3.856 + t^3.857 + t^4.285 + t^4.713 + t^4.714 + t^4.715 + t^5.141 + 2*t^5.142 + t^5.143 + t^5.145 + 2*t^5.57 + t^5.571 + t^5.572 + 5*t^5.999 - 2*t^6. + t^6.001 + t^6.427 + 4*t^6.428 - t^6.429 + t^6.43 + 2*t^6.856 + 2*t^6.857 - t^6.858 + t^7.284 + 3*t^7.285 + t^7.288 + t^7.712 + 3*t^7.713 + 3*t^7.714 + t^7.716 + t^7.718 + 2*t^8.141 + 3*t^8.142 - t^8.143 - t^8.144 + t^8.145 + 5*t^8.57 - t^8.571 + t^8.572 - 2*t^8.573 + t^8.574 + t^8.998 + 7*t^8.999 - t^4.286/y - t^6.856/y - t^6.858/y - t^7.285/y + t^7.286/y + (2*t^7.713)/y + (2*t^7.715)/y + (2*t^8.142)/y + t^8.143/y + (2*t^8.57)/y + (2*t^8.571)/y + (2*t^8.572)/y + (4*t^8.999)/y - t^4.286*y - t^6.856*y - t^6.858*y - t^7.285*y + t^7.286*y + 2*t^7.713*y + 2*t^7.715*y + 2*t^8.142*y + t^8.143*y + 2*t^8.57*y + 2*t^8.571*y + 2*t^8.572*y + 4*t^8.999*y	g1^3*t^2.143 + g1^12*t^2.571 + t^2.573/g1^16 + 2*g1^7*t^3. + 2*g1^2*t^3.428 + g1^11*t^3.856 + t^3.857/g1^3 + g1^6*t^4.285 + g1^15*t^4.713 + g1*t^4.714 + t^4.715/g1^13 + g1^24*t^5.141 + 2*g1^10*t^5.142 + t^5.143/g1^4 + t^5.145/g1^32 + 2*g1^19*t^5.57 + g1^5*t^5.571 + t^5.572/g1^9 + 5*g1^14*t^5.999 - 2*t^6. + t^6.001/g1^14 + g1^23*t^6.427 + 4*g1^9*t^6.428 - t^6.429/g1^5 + t^6.43/g1^19 + 2*g1^18*t^6.856 + 2*g1^4*t^6.857 - t^6.858/g1^10 + g1^27*t^7.284 + 3*g1^13*t^7.285 + t^7.288/g1^29 + g1^36*t^7.712 + 3*g1^22*t^7.713 + 3*g1^8*t^7.714 + t^7.716/g1^20 + t^7.718/g1^48 + 2*g1^31*t^8.141 + 3*g1^17*t^8.142 - g1^3*t^8.143 - t^8.144/g1^11 + t^8.145/g1^25 + 5*g1^26*t^8.57 - g1^12*t^8.571 + t^8.572/g1^2 - (2*t^8.573)/g1^16 + t^8.574/g1^30 + g1^35*t^8.998 + 7*g1^21*t^8.999 - t^4.286/(g1*y) - (g1^11*t^6.856)/y - t^6.858/(g1^17*y) - (g1^6*t^7.285)/y + t^7.286/(g1^8*y) + (2*g1^15*t^7.713)/y + (2*t^7.715)/(g1^13*y) + (2*g1^10*t^8.142)/y + t^8.143/(g1^4*y) + (2*g1^19*t^8.57)/y + (2*g1^5*t^8.571)/y + (2*t^8.572)/(g1^9*y) + (4*g1^14*t^8.999)/y - (t^4.286*y)/g1 - g1^11*t^6.856*y - (t^6.858*y)/g1^17 - g1^6*t^7.285*y + (t^7.286*y)/g1^8 + 2*g1^15*t^7.713*y + (2*t^7.715*y)/g1^13 + 2*g1^10*t^8.142*y + (t^8.143*y)/g1^4 + 2*g1^19*t^8.57*y + 2*g1^5*t^8.571*y + (2*t^8.572*y)/g1^9 + 4*g1^14*t^8.999*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
6717	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}^{2}$	0.5624	0.7108	0.7912	[M:[0.75, 1.125, 1.0, 0.6875, 1.0625, 1.3125, 0.9375, 0.9375], q:[0.9375, 0.3125], qb:[0.375, 0.625], phi:[0.4375]]	t^2.063 + t^2.25 + 2*t^2.813 + t^3. + 2*t^3.375 + t^3.563 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.688 + 2*t^4.875 + 3*t^5.063 + t^5.25 + t^5.438 + 5*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 18429/32768, c: 23293/32768, M1: 3/4, M2: 9/8, M3: 1, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, M8: 15/16, q1: 15/16, q2: 5/16, qb1: 3/8, qb2: 5/8, phi1: 7/16}
6719	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{6}M_{9}$	0.5953	0.7562	0.7872	[M:[0.8541, 1.1424, 0.8611, 0.7135, 1.0018, 1.2865, 0.9982, 0.9982, 0.7135], q:[0.8594, 0.2865], qb:[0.4271, 0.7118], phi:[0.4288]]	2*t^2.141 + t^2.562 + t^2.583 + 2*t^2.995 + 2*t^3.427 + t^3.849 + 3*t^4.281 + 2*t^4.703 + t^4.714 + 2*t^4.724 + t^5.125 + 4*t^5.135 + t^5.146 + t^5.167 + 2*t^5.557 + 3*t^5.568 + t^5.578 + 6*t^5.989 - 3*t^6. - t^4.286/y - t^4.286*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
3478	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$	0.5757	0.7182	0.8016	[M:[0.8809, 1.1468, 0.8254, 0.7202, 0.9861, 1.2798, 1.0139], q:[0.8393, 0.2798], qb:[0.4405, 0.7341], phi:[0.4266]]	t^2.161 + t^2.476 + t^2.643 + t^2.958 + t^3.042 + 2*t^3.44 + t^3.839 + t^3.923 + t^4.321 + t^4.637 + t^4.72 + t^4.803 + t^4.953 + 2*t^5.119 + t^5.202 + t^5.286 + t^5.435 + 2*t^5.601 + t^5.684 + 2*t^5.917 - t^6. - t^4.28/y - t^4.28*y	detail