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
46832	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6579	0.8086	0.8137	[M:[1.1533, 1.0037, 0.8467, 0.7433, 1.1265, 0.9002], q:[0.3716, 0.4751], qb:[0.6247, 0.7816], phi:[0.4367]]	[M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4], [1, -15]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$	${}$	-2	t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. + t^6.022 + 2*t^6.08 + t^6.16 + t^6.241 - t^6.31 + 2*t^6.391 + t^6.529 + t^6.551 + t^6.689 + t^6.701 + t^6.839 + t^6.862 + t^6.92 + 2*t^7. + t^7.08 + t^7.16 + t^7.172 + t^7.288 + t^7.31 + t^7.39 + t^7.471 + t^7.598 + t^7.621 + t^7.631 + t^7.679 + t^7.701 + t^7.759 + 2*t^7.839 + t^7.942 + t^8. + t^8.011 + t^8.102 + t^8.15 - 3*t^8.23 + t^8.252 + 2*t^8.31 + t^8.322 + t^8.412 + t^8.438 + t^8.46 + t^8.47 + t^8.518 - 3*t^8.54 + t^8.598 + 2*t^8.62 - 3*t^8.701 + t^8.723 + t^8.759 + t^8.77 + t^8.781 - t^8.851 + t^8.861 + t^8.919 + t^8.931 + t^8.941 - t^8.989 - t^4.31/y - t^6.54/y - t^7.011/y + t^7.299/y - t^7.321/y + t^7.61/y + t^7.77/y + t^7.93/y + t^8.08/y + (2*t^8.241)/y + t^8.551/y + t^8.609/y + t^8.69/y + t^8.712/y + t^8.92/y - t^4.31*y - t^6.54*y - t^7.011*y + t^7.299*y - t^7.321*y + t^7.61*y + t^7.77*y + t^7.93*y + t^8.08*y + 2*t^8.241*y + t^8.551*y + t^8.609*y + t^8.69*y + t^8.712*y + t^8.92*y	(g1^2*t^2.23)/g2^16 + (g2^7*t^2.54)/g1 + (g1*t^2.701)/g2^15 + (g2^8*t^3.011)/g1^2 + g2^4*t^3.38 + (g1*t^3.46)/g2^7 + (g1^2*t^3.54)/g2^18 + (g2^5*t^3.85)/g1 + (g2^28*t^4.161)/g1^4 + g1*g2*t^4.219 + (g1^2*t^4.299)/g2^10 + (g1^4*t^4.46)/g2^32 + (g2^13*t^4.61)/g1 + (g1*t^4.77)/g2^9 + (g1^3*t^4.93)/g2^31 + (g1^2*t^5.058)/g2^2 + (g2^14*t^5.08)/g1^2 + t^5.241/g2^8 + (g1^2*t^5.401)/g2^30 + (g1^2*t^5.609)/g2^12 + t^5.712/(g1*g2^7) + (g1^4*t^5.77)/g2^34 + (g2^11*t^5.92)/g1 - 2*t^6. + (g2^16*t^6.022)/g1^4 + (2*g1*t^6.08)/g2^11 + (g1^2*t^6.16)/g2^22 + (g1^3*t^6.241)/g2^33 - (g2^23*t^6.31)/g1^3 + (2*g2^12*t^6.391)/g1^2 + (g1^4*t^6.529)/g2^26 + t^6.551/g2^10 + (g1^6*t^6.689)/g2^48 + (g2^35*t^6.701)/g1^5 + (g1*t^6.839)/g2^3 + (g2^13*t^6.862)/g1^3 + (g1^2*t^6.92)/g2^14 + (2*g1^3*t^7.)/g2^25 + (g1^4*t^7.08)/g2^36 + (g1^5*t^7.16)/g2^47 + (g2^36*t^7.172)/g1^6 + (g1^4*t^7.288)/g2^18 + t^7.31/g2^2 + (g1*t^7.39)/g2^13 + (g1^2*t^7.471)/g2^24 + g1*g2^5*t^7.598 + (g2^21*t^7.621)/g1^3 + (g1^4*t^7.631)/g2^46 + (g1^2*t^7.679)/g2^6 + (g2^10*t^7.701)/g1^2 + (g1^3*t^7.759)/g2^17 + (2*g1^4*t^7.839)/g2^28 + (g1*t^7.942)/g2^23 + (g1^6*t^8.)/g2^50 + (g2^33*t^8.011)/g1^5 + (g1^3*t^8.102)/g2^45 + (g1*t^8.15)/g2^5 - (3*g1^2*t^8.23)/g2^16 + t^8.252/g1^2 + (2*g1^3*t^8.31)/g2^27 + (g2^56*t^8.322)/g1^8 + t^8.412/g2^22 + g1^2*g2^2*t^8.438 + (g2^18*t^8.46)/g1^2 + (g1^5*t^8.47)/g2^49 + (g1^3*t^8.518)/g2^9 - (3*g2^7*t^8.54)/g1 + (g1^4*t^8.598)/g2^20 + (2*t^8.62)/g2^4 - (3*g1*t^8.701)/g2^15 + (g2*t^8.723)/g1^3 + (g1^6*t^8.759)/g2^42 + (g2^41*t^8.77)/g1^5 + (g1^2*t^8.781)/g2^26 - (g2^30*t^8.851)/g1^4 + (g1^3*t^8.861)/g2^37 + (g1^8*t^8.919)/g2^64 + (g2^19*t^8.931)/g1^3 + (g1^4*t^8.941)/g2^48 - (g1^2*t^8.989)/g2^8 - t^4.31/(g2^2*y) - (g1^2*t^6.54)/(g2^18*y) - (g1*t^7.011)/(g2^17*y) + (g1^2*t^7.299)/(g2^10*y) - (g2^6*t^7.321)/(g1^2*y) + (g2^13*t^7.61)/(g1*y) + (g1*t^7.77)/(g2^9*y) + (g1^3*t^7.93)/(g2^31*y) + (g2^14*t^8.08)/(g1^2*y) + (2*t^8.241)/(g2^8*y) + (g2^15*t^8.551)/(g1^3*y) + (g1^2*t^8.609)/(g2^12*y) + (g1^3*t^8.69)/(g2^23*y) + t^8.712/(g1*g2^7*y) + (g2^11*t^8.92)/(g1*y) - (t^4.31*y)/g2^2 - (g1^2*t^6.54*y)/g2^18 - (g1*t^7.011*y)/g2^17 + (g1^2*t^7.299*y)/g2^10 - (g2^6*t^7.321*y)/g1^2 + (g2^13*t^7.61*y)/g1 + (g1*t^7.77*y)/g2^9 + (g1^3*t^7.93*y)/g2^31 + (g2^14*t^8.08*y)/g1^2 + (2*t^8.241*y)/g2^8 + (g2^15*t^8.551*y)/g1^3 + (g1^2*t^8.609*y)/g2^12 + (g1^3*t^8.69*y)/g2^23 + (t^8.712*y)/(g1*g2^7) + (g2^11*t^8.92*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
55075	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$	0.6562	0.8056	0.8146	[M:[1.1677, 0.994, 0.8323, 0.7784, 1.1138, 0.9401], q:[0.3892, 0.4431], qb:[0.6167, 0.7784], phi:[0.4431]]	t^2.335 + t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.503 + t^3.665 + t^3.826 + t^3.988 + t^4.186 + t^4.347 + t^4.509 + t^4.671 + t^4.832 + t^4.994 + t^5.03 + t^5.156 + t^5.317 + t^5.641 + t^5.677 + t^5.803 + t^5.838 + t^5.964 - t^6. - t^4.329/y - t^4.329*y	detail
55317	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$	0.652	0.8005	0.8144	[M:[1.1639, 1.0492, 0.8361, 0.7869, 1.082, 1.0], q:[0.3934, 0.4426], qb:[0.5574, 0.7705], phi:[0.459]]	t^2.361 + t^2.508 + t^3. + t^3.148 + t^3.246 + t^3.492 + t^3.738 + t^3.885 + t^3.984 + t^4.033 + t^4.23 + t^4.377 + 2*t^4.721 + t^4.869 + t^5.016 + t^5.361 + t^5.508 + t^5.607 + t^5.754 - t^6. - t^4.377/y - t^4.377*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
46760	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.6522	0.7999	0.8154	[M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]]	t^2.332 + t^2.515 + t^3.065 + t^3.119 + t^3.275 + t^3.485 + t^3.694 + t^3.878 + t^4.034 + t^4.062 + t^4.244 + t^4.427 + t^4.663 + t^4.793 + t^4.847 + t^5.031 + t^5.396 + t^5.58 + t^5.606 + t^5.79 - 2*t^6. - t^4.363/y - t^4.363*y	detail